{"text":"Question: Calculate (-1 - 0 - -2) + (-5 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 121501 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1146 + -1144. Let x(f) be the third derivative of 0 + 0*f**3 - 1\/12*f**4 + 0*f + 2*f**n. Let i(r) = r. Give x(i(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 + 12*c - 18. Let l be p(2). Determine d, given that -12*d**2 + 41*d**2 - 10*d - 5*d**2 - 9*d**2 + 8 - 13*d**l = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 38070320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3289274 is divided by 1699?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -3*k**3 + 3012*k**2 - 429648*k - 30907968 = 0?\nAnswer: -52, 244, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.5  (b) -0.27  (c) -2\/9  (d) -8859  (e) 4  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 82.20024ml?\nAnswer: 0.08220024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 453 is divided by 146?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 12 = -u - 3*d, 0 = -3*u - d + 14. Suppose 4*q + 1 = 4*g - u, 3*g + 5*q = -37. Let k be 2 - 4\/(g + 2). Solve -2*n = -r - 3 - 3, 12 = k*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8020000 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**4*d)\/d)\/(d*d**6))\/((d\/((d*d\/(d*d*d\/(d*d\/((d\/(d*d**2)*d)\/d))))\/d*d))\/d**(-9)) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6065*o**4 - 5107*o**2.\nAnswer: -145560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, k: 6, j: 9, h: 1, y: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 10 = -4*y, 8*z - 3*y - 1 = 3*z. Suppose 5*b = -11*b + 224. Suppose 14 = 2*p + b. Is z smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2759781 kilograms in nanograms?\nAnswer: 275978100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + k + 7, 72 - 54 = -6*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/19992839 and -1\/8.\nAnswer: 159942712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8678, 9785, 10890, 11993, 13094, 14193?\nAnswer: 15290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13243 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -0*t + 132. Suppose 4*v = 25 - 5. Suppose 32 = v*d - t. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5199204*w**2 - w + 1036956 wrt w?\nAnswer: -10398408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (375\/1500)\/((-2)\/44*(-1)\/(-2))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -119.08 + 123. Let g = s - -0.08. What is the nearest to 0.2 in -2, g, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j + 364 - 2*j - 395 - j**3 - 2*j**3.\nAnswer: -3*j**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 417743.32+43815\nAnswer: 461558.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 4:22 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**3 - 3. Let c(t) = 1. Let z(b) = -b - 6. Let a be z(-9). Suppose 0 = a*f + 3*l, -4*f - 6 = 3*l - 2*l. Let v = 1 + -2. Give f*c(x) + v*g(x).\nAnswer: -2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.6 - -2.7. Which is the biggest value?  (a) -4\/7  (b) 0.2  (c) z  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.322 * 4.30789\nAnswer: -1.38714058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -20. Calculate the greatest common divisor of w and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -1368*g**2 - 19902. Let p(n) = n. What is p(a(v))?\nAnswer: -1368*v**2 - 19902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-2 + sqrt(19) + sqrt(38)\/sqrt(2) + -1))**2.\nAnswer: -432*sqrt(19) + 3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hlgldnndghqhhqq. Give prob of picking 1 n, 2 q, and 1 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.008176 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -74*o**2 - 2*o. Let b(y) = 7*y**2. Determine v(b(c)).\nAnswer: -3626*c**4 - 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-7)*q*q*(q\/(q\/(q\/(q\/q**6*q))))\/q*((q\/(q\/(q**9*q*q))*q)\/q*q*q)\/q**(2\/17) assuming q is positive.\nAnswer: q**(202\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2*(-2)\/(-4))\/(175\/(-1225))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2396468 < -21568214\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*x**2 + 3*x**3 - 10*x**2 - 2*x**2 + 22*x**2 + 2*x - 5*x - 2 to k + t*x**3 + n*x**2 + m*x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 + 3. Is g\/56 - 969\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**2 - 2 + 2 + (k + 2*k - 4*k)*(0*k + 2*k + 0*k)*(-3 + 3 - 1)*(-4 + 13 + 13).\nAnswer: 47*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -10*w**3 - 2*w**2 + 4*w - 3. Give f(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 5*u - 3399 = -12589, 0 = 4*u + 8. Let d = t + -1401. What are the prime factors of d?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 151*y**2 + 5*y + 234. Let x(g) = g**2 + g + 2. Let i(v) = 3*x(v) - z(v). Find the first derivative of i(a) wrt a.\nAnswer: -296*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 164\/385 + -2\/77. Which is the closest to k?  (a) -3\/4  (b) -0.04  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5464 and 104.\nAnswer: 71032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2903.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 575122 is divided by 3160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -259, -523, -785, -1045, -1303?\nAnswer: -1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 523*p**2 + 55*p + 19598.\nAnswer: 1046*p + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 15*k + 28. Let o be q(13). Suppose 0*f = 2*f - 32. Suppose -o*t + f = 3*z, 3*t - 8*t + z = -6. Solve -10 = -3*h + t, -h = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*d - 208*d = 81 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28 + 26. Let w(f) be the third derivative of -f**6\/120 - f**5\/30 - f**4\/8 - f**3\/3 + f**2. Let o be w(d). Solve 15 = -o*q + q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 0 = -2. Suppose k*b - 47 = b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65881, 65526, 65169, 64810, 64449, 64086?\nAnswer: 63721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + 55\/25)*-3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of x**4\/6 + x. Let r(q) be the third derivative of -q**4\/8 + 4*q**2. Determine a(r(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -45 in ascending order.\nAnswer: -45, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-117)\/((-1687257)\/(-138)))\/(3*(-3)\/99)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 + 4*r - 7. Determine d(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0031139155 rounded to five dps?\nAnswer: -0.00311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11514 minus 20400279410?\nAnswer: -20400267896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/56554 and 89\/6?\nAnswer: 169662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t**(2\/31)*t*t*t))\/t**30)\/(t**(1\/5)\/(t*t**16*t)) assuming t is positive.\nAnswer: t**(-2211\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*o**3*p**3 + 57272*o**3*p**2 + o**2*p**2 + 9*o**2 - 2*p**3 + 415*p**2 - 8*p wrt o?\nAnswer: 18*p**3 + 343632*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -708 divided by 3.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9653.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27389045 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - 590\/(-90))*(-135)\/1260.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/44952647 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*z**2 - 2 - 3*z**2 - 20*z**2 + 0*z**2 to m*z**2 + y*z + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -720, -718, -716, -714, -712, -710?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8.7 - -8.7. Which is the second smallest value?  (a) 0.2  (b) -25  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j + 39. Let c be t(-16). Suppose -3*o + 3389 = 5*h, -5*o = 8*h - c*h - 669. List the prime factors of h.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1100966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-104)\/975)\/((-20)\/200))\/((-2)\/(-6))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7597?\nAnswer: 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 221*a = 218*a + 6. Solve a*d + 2*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {i: 1, o: 2, v: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 43.38 less than -99?\nAnswer: -142.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of 13*f**4\/12 + f**3\/6 + 91*f. Let g(j) = -j. Determine g(t(w)).\nAnswer: -13*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**2\/7 + 4692*n\/7 + 1834572\/7 = 0.\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6046799*p**3 - 4807276*p wrt p?\nAnswer: -36280794*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4035473 and 172939.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2904 or -2489?\nAnswer: -2489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -220 divided by 4.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 - 7*t**2 - 2. Let y be d(-7). Let k be ((-3)\/y)\/((-24)\/512). Round k to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/3*54\/12 + -2. Sort -3\/2, l, 2, -2 in ascending order.\nAnswer: l, -2, -3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 8448, 8131, 7808, 7479, 7144?\n\"Answer: -3*v**2 - 308*v + 8759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, s: 5, v: 1, y: 4}. What is prob of picking 1 y, 2 s, and 1 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 15738.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1069 by -72838.\nAnswer: -1069\/72838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/45 of a day in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 divided by -1084?\nAnswer: 32\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(3*(-1 + (1*(sqrt(2299) + 0) - sqrt(2299))) + -5 + -3 + 5))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*y**4 - 30 + 30 + (1 + 5 - 4)*(4 - 1 - 4)*(0*y**4 - y**4 - y**4).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1852670?\nAnswer: 2, 5, 185267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -73974 * -7\nAnswer: 517818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -12.44268*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 4*l**2 + 1. Let p be g(1). Let o(d) = -p*d**2 - 2 - 2*d + 3 + 4*d**2 - d**3 + 4*d. Let h be o(-1). Put -3, h, 0 in increasing order.\nAnswer: -3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41\/10 - 39\/10. What is the biggest value in 21\/10, -2.5, o?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7.899 - -7.9. Round z to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.5598 * -20.\nAnswer: 51.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + 2 - 4\/(3 - 7). Let w = 11 - 8. Factor -8\/5*o**j - 2\/5*o + 0 - 6\/5*o**w.\nAnswer: -2*o*(o + 1)*(3*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -76*k - 22. Calculate s(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 9 - 174. Suppose -5*j - 159 = 81. Let s be (-256)\/j - (-2)\/(-6). Calculate the highest common factor of s and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 3*p. Let b(j) = -1 + 2 + 11*j - 4*j. Let k(z) = -4*b(z) + 7*i(z). Let l(h) = 6*h + 4. Suppose -3*s + 16 + 2 = 0. What is s*l(m) + 5*k(m)?\nAnswer: m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 161 divided by 38.\nAnswer: 161\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 877601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 525 + 2*d**2 - 4*d**2 + 107 + 3*d**2 - 175 in the form l + f*d**2 + t*d and give l.\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence thht when four letters picked without replacement from ththt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 20*x**2 - 599*x - 2975. Give b(-5).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3987311.33361+857\nAnswer: 3988168.33361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -5 and 6800.\nAnswer: 6795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -1 - -1) + 0 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n - 74*n + 32031851 = -38049549. Round n to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -72 + 73. Put 4, a, -3, -5 in descending order.\nAnswer: 4, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (458\/3664)\/((-6)\/80).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -9*n**2 + 4*n - 9. Let x = -12 + 8. Let m(z) = 5*z**2 - 2*z + 5. Let s = -1 + -6. Let a(i) = s*m(i) + x*w(i). Factor a(u).\nAnswer: (u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - i**2 - i + 100. Let o be r(0). Let k be (-2)\/9 - o\/36. Let v be (16\/6 - -1) + k. Put 6, -0.1, v in descending order.\nAnswer: 6, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 7  (b) 5  (c) 187197  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 54 = 2*f. Suppose 5*n - 2*n - f = -l, l = 0. Calculate the remainder when 43 is divided by (n - 0)*88\/24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f - 113873*f**3 + 9596*f**3 + 2*f.\nAnswer: -104277*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 7*j - 5 + 4 + 2 + 0. Let i(s) = 3*s + 6*s + s**2 + 7 - 2*s**2 + 2*s**2. Let v be i(-8). What is u(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699.6653um in meters?\nAnswer: 0.0006996653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 - -5. Let v = l + -4. Let q = 259\/9 - v. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -2. Suppose a*x = 2*x + 43. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*q + 199 - 199)*(13*q**2 - 13*q**2 + 19*q**4).\nAnswer: -114*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 176, 137, 96, 53, 8?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 6 = 4. Suppose -2*t + 6 = 3*d, -3*t + 2 = -7. Suppose 5*s = 4*r - 1173, d*s - w*s - 1445 = -5*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*w - q, 2*q + 3*q = -2*w + 12. Sort 5, 0, w.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 20\/9 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-55)\/(-11)*8\/(-190)*6\/((-126)\/(-21))\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.174 * 0.331\nAnswer: -0.057594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2716 - 2714. Put -18, a, -5, 8 in descending order.\nAnswer: 8, a, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of j**3\/3 - 6*j**2 + 12*j - 1. Let o be m(11). Which is bigger: 2\/11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -355*j**2 + 355*j**2 - 238*j**3 - 133*j**3.\nAnswer: -371*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -363*t**4\/4 - 1683*t**3\/4 - 201*t**2 + 117*t - 12 = 0?\nAnswer: -4, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4374, -4378, -4382, -4386, -4390?\nAnswer: -4394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 344*v**4 + 21*v**3 - 5178*v**2 - 6413*v - 1374 wrt v?\nAnswer: 4128*v**2 + 126*v - 10356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 9:26 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 3 = -3, -3*c = z - 5. Suppose 3 = w - c. Differentiate 4*b**4 - 4*b**4 + w*b**4 - 3 + 8 wrt b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1947, -2047, -2195, -2415, -2731?\n\"Answer: -4*t**3 - 72*t - 1871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.557 or 48997?\nAnswer: -0.557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5 + a - a**3 - 11\/4*a**2.\nAnswer: -(a + 2)**2*(4*a - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1313 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -134*g - 50*g + 2416 - 208 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 100 + 2?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u - 608 = 502. Suppose 2*k + 7 = 3, 3*w - u = -2*k. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 755?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -4. Suppose j = 5*k - 15 + 5. Let n be 39\/60 + k\/(-5). Which is the third smallest value?  (a) 0.1  (b) n  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 4:14 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -115 + 105. Let x(j) = -j**2 + 1. Let s(t) = -t**3 - 15*t**2 + 18*t - 5. Let h(c) = -s(c) + 6*x(c). What is the units digit of h(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18473283663 + 0.4?\nAnswer: 0.58473283663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -4*a**2 + 7*a + 181. Calculate the remainder when u(0) is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000125 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w + 1. Let u be m(-1). Suppose 3*k - 3 + u = 0, 0 = 4*y + 3*k - 23. Suppose 443606 = y*c + 148606. Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of v**4\/24 - 53*v**3\/12 + 51*v**2\/2 + 165*v. Factor p(y).\nAnswer: (y - 51)*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q\/q**7))*q*q**(-3))**15 assuming q is positive.\nAnswer: q**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d + 4*d - 800. Let o be 24\/132 - (-2930)\/(-22). Let j = o + d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32, 192, 470, 860, 1356, 1952?\nAnswer: 2642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x + 6. Let c(d) = -d - 2. Let b = 52 + -49. Suppose -2 = p + 2*m, 4*p + 2 = -2*m - b*m. Calculate p*z(y) + 7*c(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 94208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -146c8 + 0?\nAnswer: -146c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b**3 - 3*b**3 + 5*b**2 - 5*b**2 + 14*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 7:30 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3920.4 + -3923. Which is greater: -6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*z, -5*z - 19 = 17141*o - 17143*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeaaeeeee. Give prob of picking 2 e.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 36 = -0*h. List the prime factors of 11\/3 - 12\/h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 18*v + 7 - 9*v + 0 - 8*v. Give y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, h: 3, p: 5, c: 5}. What is prob of picking 2 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2530091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 6*(2 + (6*((0 + (sqrt(847)*1 - sqrt(847) - sqrt(847)))**2 - sqrt(847)) - (4*(0 + sqrt(847))*1)**2)).\nAnswer: -50812 - 396*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Evaluate (9\/(-12))\/(4 - (-15)\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/30)\/((-2)\/20*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -515*l**4 + 92*l**3 + 2195273*l wrt l?\nAnswer: -6180*l**2 + 552*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(104) - 6*(sqrt(104) + (sqrt(104) - sqrt(104)*1)) - sqrt(104))\/(sqrt(64)\/(sqrt(8)*-1)))**2.\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -k**2\/2 + 5*k + 4. Let i be (4 + -5)*(0 - 5). What is p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/52*(-16)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 3*j + 19 = 5*w, 2*w - 3*j = 3. Let y = 12 + -7. Suppose w*t + 6 = y*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 PM and 4:01 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 40*b**3 + b**2 - 10*b + 7. Let c be d(4). Let z = 5694 - c. Let t = z - 114. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.05 at most -14146\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h + 13. Let i be k(-10). Suppose 4*m + 0*j = j + 11, -i*m - 3 = -3*j. Find the third derivative of 2*w**5 - 3 - 5*w**5 + 3 - m*w**2 wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of l**4 - 9*l**3 + 53874*l**2 + 8584414*l wrt l?\nAnswer: 12*l**2 - 54*l + 107748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*q**2 + 85*q**2 - 38*q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 - 15*g**2 + 13*g + 16. Let i be b(14). Let v(x) be the first derivative of 1\/2*x**i + 2 + 2*x. Determine v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -0.1959077.\nAnswer: -0.9795385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(18)*1)\/(sqrt(6) + (sqrt(6) - (sqrt(6) + sqrt(6) + (sqrt(24) - sqrt(6)))*-3)).\nAnswer: 3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of 4405*t**3\/3 - 3224*t + 2627. What is the derivative of n(b) wrt b?\nAnswer: 8810*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42638 (base 11) in base 2?\nAnswer: 1111001000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of 11*u**4\/12 + u**3\/6 - 8*u + 12. Let h(r) be the first derivative of t(r). What is h(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 18*m + 16*m - 49*m + 16*m - 14 + 5. Calculate g(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 7*g + 22. Give l(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 5 - 5)*(2 - 2 - s**3) + 0*s + s**4 + 0*s + 5*s**4 - 15*s**4 - 19*s**4 - 4*s**3 - s**4 + 4*s**3.\nAnswer: -31*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pbylqpa. What is prob of sequence py?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-6)\/(-22) + (-34472)\/1364.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -110  (b) -1  (c) 5  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**9\/u)\/(u**4*u)*(u**(-2\/7))**(-33))\/(u**(-8)\/(((u\/(u\/(u**(-1\/3)*u)))\/u)\/u))**6 assuming u is positive.\nAnswer: u**(367\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -10*h**2 - h + 389.\nAnswer: -20*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-8)*(4 - 8). Suppose 20 = f*o - 4*h, 0 = 4*o - o + 5*h - 2. Solve -n + 5*k = k + o, -4*n + 2*k - 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7932666922 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 2*o - 66, -2*o + 6*o - 62 = -3*c. What is the remainder when 44 + -38 + 31*1 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**(-3\/10)*k\/(k**7\/k*k))**(-46))**(-2))**(5\/3) assuming k is positive.\nAnswer: k**(-2162\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2575949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 3*l - 5. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 636549901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 - 16*n**2 + 54*n - 567. Let q = 7 - -68. What is the remainder when t(15) is divided by q\/6 - 2\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-222)\/11 + 2\/11. Let z = -6 - i. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3450 and 14550?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 56\/12)\/((-10)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36119 and 1234791?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -332 + 3?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(1331) + sqrt(1331) + -1)**2 - ((2 + sqrt(1331) + 4)**2 + sqrt(1331)))*-1.\nAnswer: -19933 + 319*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 84, 76, 68, 60, 52?\n\"Answer: -8*r + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1288499 >= -1288496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from igzihzzzzggz. Give prob of picking 1 i, 1 z, and 1 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25*n**3*w**4 - n**3*w + 4*n**3 + 58*n**2*w wrt w.\nAnswer: -300*n**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -627 + 237 = 30*g. Let q(h) = -h - 3. Let p(s) = 3*s + 6. Give g*q(x) - 6*p(x).\nAnswer: -5*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2418300 and 900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i**3 + 115*i**2 + 77*i + 20. Let o be f(39). Is o equal to -438\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 395048 and 1472.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -320, -329, -360, -425, -536, -705, -944, -1265?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 6413*r - 6413*r - 171*r**2 + (2*r - 2*r + r**2)*(1 - 5 + 2) + 6 - 4*r**2 - 6 - 2*r**2 + 1 + 0*r**2 + 4*r**2 as x*r + k*r**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.14771311 or -4?\nAnswer: -0.14771311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(0 + 1 + 39). Let r(w) be the second derivative of -w**3\/6 + 2*w**2 + 23*w. Let q be r(5). Which is bigger: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -61c4 (base 13) to base 8.\nAnswer: -32307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 4)*(-7 - 10 - 6)*(-1 + 3 - 4)*(-2*a + 12*a + 11*a).\nAnswer: -1932*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - w = 36. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 - 1 - (-4 - 16 - -10 - 2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -308 + 551. Calculate the remainder when c is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3\/7 - 96*s**2\/7 - 4*s\/7 + 96\/7.\nAnswer: 4*(s - 24)*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.7 + 1.2. Let j be (-6)\/(-15)*10*-1. Let y = 4 - 4.1. Which is the closest to y?  (a) o  (b) -1  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1171\/288 - 123\/32. Which is the nearest to 1.3?  (a) -2\/13  (b) n  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x**2 + 66752*x + 278489344 = 0.\nAnswer: -8344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**3 - g**4 - 3*g**3)*(1513 - 33605 - 813 - 2040)*(-1 - 1 + 0).\nAnswer: -69890*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, k: 2}. Give prob of picking 2 v and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 16\/(-20)*5160\/(-48). Is d < 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190 is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -157*w**2 + 234*w + 953. Give a(-4).\nAnswer: -2495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 9\/10 of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*q + 538 - 124. Solve -2*k = -g + 3*k + q, 22 = 2*g - 4*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lolooonnnml. Give prob of sequence ooll.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + (2 - 1 - -401). Suppose -409*b + 2940 = -l*b. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*u = -350 - 5314. What are the prime factors of u?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**5\/4 - 11*g**3\/4 - 9*g**2\/2 - 2*g.\nAnswer: g*(g - 4)*(g + 1)**2*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u - 1. Let y(m) = m. Let j(p) = -p**3 + p**2 - 1. Let o be j(-1). Calculate o*r(a) - 3*y(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 477*i - 543?\nAnswer: 477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -310*x + 199*x - 44*x**2 + 22*x**2 - 177 + 24*x**2. Give u(57).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1354649?\nAnswer: 1354649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*f + 4. Let y be 133\/(-9) - 2\/f. Let a be 9\/y + (-46)\/(-10). Sort -3, 0, a in decreasing order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1318 - -1322. Calculate the highest common divisor of 28 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d - 1. Let x be i(-7). Let u be -1 - 2*x\/(-30). Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 41*l - 72*l - 96*l - 1 in the form n*l + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of 30 and -3463373.30299.\nAnswer: -3463343.30299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -b**6\/780 + b**5\/130 + b**4\/156 - b**3\/13 - 107*b**2 + 28*b. Let j(g) be the first derivative of s(g). Factor j(d).\nAnswer: -2*(d - 3)*(d - 1)*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -35 - -96. Let x = 48 - d. What is the units digit of 93*1 - x\/(13\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(10)\/((sqrt(2)*1 - sqrt(2)) + sqrt(2)) + -4)**2 - (5 + sqrt(5) + sqrt(180))**2).\nAnswer: -747 - 234*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11790251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + ((1 + sqrt(425))*-1 - sqrt(425)) + sqrt(425) + -4)**2.\nAnswer: 80*sqrt(17) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000258068 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 177 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 2 + (0 - 1 + 2)*(-3 - 1 + 3) + 3 + 2 - 6 - 1 - 2 + 1)*(0 + 5 + 4)*(2 - 2 + 4*k).\nAnswer: -252*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -307.\nAnswer: -4\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003209 rounded to five decimal places?\nAnswer: -0.00321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2196.525 micrograms in grams?\nAnswer: 0.002196525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 348814937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 22505 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: Let l be (-2 - ((-9)\/3 - -4))*-8. Suppose 2*a = 5*a - l. Suppose a*k = 578 + 334. Does 22 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 + 5*z + 2. Let y(d) = d**3 - 5*d**2 - 6*d + 5. Let n be y(6). What is g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**4 + 853362*h**3 = 0.\nAnswer: -284454, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -d6698 (base 15) in base 4?\nAnswer: -2211332330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of 3*a**5\/5 - 78*a**4 + 2598*a**3 + 8268*a**2 + 8427*a + 226. What is v in l(v) = 0?\nAnswer: -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + 1. Let n be p(3). Suppose 209 + 551 = -10*g. Let o = 76 + g. Solve o*i = n*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-6 - (-7 - (4 - 1)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -258*h**3*l**2 + 1172*h**3*l*p + 2*h**2*p + 10*h*l**3 - 4505*h*l*p + 554*l**2*p wrt l?\nAnswer: -516*h**3 + 60*h*l + 1108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2. Let z(c) = 9*c**2 - 5. Let f(x) = 13*x**2 - 7. Let h(k) = 5*f(k) - 7*z(k). What is -6*h(o) - 15*i(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.7 + 0.3. What is the nearest to 1\/3 in n, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from dqm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -33 - -23 - (-5 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -39*k + 2. What are the prime factors of w(-3)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (25 - -1)*5*(-2)\/(-20). Calculate the greatest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 447 greater than 444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1236.8 from -0.61.\nAnswer: -1237.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**4 - 3 + 3 + (-3*f**2 - 1 + 1)*(-3*f**2 - 1 + 1) + (f**4 - f**2 + f**2)*(33 + 4 + 8).\nAnswer: 52*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5*v - 2799 + 2883 = 0, -k + 5*v = -46. Calculate the remainder when 830 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 71*p - 407. Calculate f(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(38) - sqrt(190)\/sqrt(5))*-2)\/(sqrt(32) - (sqrt(288) + sqrt(32))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 4*g**2 + 3*g**2 + 4 + 4*g + 4*g**4 + 1 - 6*g**2 - 4*g**3. Let b(k) = -3 + 3 - 2*k**4 + 2*k**3 - 2*k - 2. Let n(h) = 10*b(h) + 4*r(h). Factor n(s).\nAnswer: -4*s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -520688*h**5 + 8*h**4 + 2*h**2 - 18979*h + 226 wrt h.\nAnswer: -10413760*h**3 + 96*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 119 divided by -6.\nAnswer: -119\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 2*l**2 + 0 + 0 + 1 - 18*l**3 in the form w*l + b + u*l**2 + n*l**3 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -24965, -25072, -25243, -25472, -25753?\n\"Answer: z**3 - 38*z**2 - 24928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 + y. Let b(z) = -5*z**2 + 4*z + 9. Let k(x) = -b(x) - 6*l(x). Does 6 divide k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -7*z - 6. Let q(f) = -26*f - 22. Let i(a) = -22*k(a) + 6*q(a). Let c(x) = 434*x**2. What is c(i(r))?\nAnswer: 1736*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5*r - 14, 1 = -c - 4*r - 3. Let t be (-3)\/(-4) - (-13)\/c. Suppose s - t*f = 351, -3*s + 2*f + 1348 = s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 - 6*p**2 + 7*p - 4. Let v be (25\/10)\/(2\/4). What is the lowest common multiple of 2 and z(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 - -16. Suppose o*w - 12 = -h, 5*w = 5*h + 16 + 24. Put 2\/17, -15, h in descending order.\nAnswer: 2\/17, h, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, -0.4, 1, -1\/4, -101.9, -13, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 235158 and 1386.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2\/11)\/(b\/((b\/(b*b**(-2\/15)))\/b)) assuming b is positive.\nAnswer: b**(-338\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x - 7. Let c be q(-10). Let f(w) be the first derivative of 39*w**2 + w + 2. Is f(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 351*a**2*u**2 - 68*a**2*u + 30*a**2 + 2*a + 520*u**2 - 42169 wrt u?\nAnswer: 702*a**2*u - 68*a**2 + 1040*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 153*k**3*r - 4*k**3 + 477*k**2*r + 31*k**2 + 197*k - 7 wrt r.\nAnswer: 153*k**3 + 477*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 22 = v, -5 = 5*v - 4*o + 5. Calculate the common denominator of 128\/42 - v\/(-3) and 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 0 = 10. Let j(f) = 9*f**2 + f - 2. Let h be j(1). Let o = h - 13. Sort o, -3, x.\nAnswer: o, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2100452 + -24100?\nAnswer: 2032352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(126\/2*162\/(-189)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/(-9)*-3*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1269777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 529 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 590*h + 9492 = 251*h for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -g**6\/45 + g**5\/10 - 13*g**4\/72 + g**3\/6 - g**2\/12 - 8*g. Suppose u(f) = 0. What is f?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6650 divided by -950.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-148)\/(-28) + 4\/(-14). Suppose -r*k + 39 = -36. Suppose 2*h + 3*h = k. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -25*s**4 - 2230*s**3 - 2645*s**2 - 440*s = 0. Calculate s.\nAnswer: -88, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1834 is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -53 + 53. Suppose r + z*r = 7*r. Let b be ((-115)\/46)\/((-3)\/6). Solve -b*x + 4*k + 1 = -0, -2*x - 4*k - 22 = r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a + 31*a = -34*a - 5355 + 930 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 1:01 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2577675, 4, -16, -3?\nAnswer: 1\/2577675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (14\/35)\/((-1)\/140). Calculate the lowest common multiple of 3*(-9)\/(108\/z) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 4*d + 6 = 0, 4606*x + 6*d = 4611*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9396796 divided by -4.\nAnswer: -2349199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (69\/(-2)*(-5)\/(-60)*-4)\/(126 - 124).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (520\/195)\/((-22)\/3)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n + 1135 = -4*k + 18*n, -269 = 5*k + 2*n - 358 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3800568 is divided by 950132.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67481046.\nAnswer: 2, 3, 19, 89, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 54 - -37063.4.\nAnswer: 37117.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 349.3587ml?\nAnswer: 0.3493587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d + 2 - 2)*(6507*d**3 + 582*d**3 - 13322*d**3)*(2*d + 0*d - 4*d).\nAnswer: -62330*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 27, 48, 67, 84, 99?\n\"Answer: -v**2 + 24*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(-1) + ((-12)\/(-66) - 298\/66). Which is smaller: o or 111?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -468218 and -594.4354?\nAnswer: 467623.5646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = 2*z - 14, 3*z - 6 = -39*g + 30*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, z: 2, j: 3, a: 8}. Give prob of sequence aj.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 79 + -76. Let u be (5 + (m - -70))*(-1)\/(-3). Let z be 238\/6 + 4\/(-6). Calculate the highest common factor of z and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**4)**(-5\/16))**(4\/9) assuming z is positive.\nAnswer: z**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 68676860 to the nearest integer?\nAnswer: 8287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1206218, -2412438, -3618658, -4824878, -6031098?\nAnswer: -7237318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 + -3 + -6)\/(-1). Solve -z = k*f + 11, 7*z - 25 = 3*f + 3*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -813295 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 219 times -1446\nAnswer: -316674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/11, 0.084, -0.3, -1\/8, 0.1 in decreasing order.\nAnswer: 0.1, 0.084, -1\/8, -0.3, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -81261, -325278, -731979, -1301364, -2033433, -2928186?\n\"Answer: -81342*u**2 + 9*u + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j + 119*j - 7*j to the form f*j + h and give f.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 81?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -34477 + 6333. Let s = x + 20472. What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4387, 18382, 41701, 74344, 116311, 167602?\nAnswer: 228217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3 + 1)*(z - 2*z - 3*z) - 2 - 4*z - 10*z + z as y + b*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 - 8*g + 2. Let d be w(8). Suppose 10 + 2 = d*r. What is the remainder when 25 is divided by (1 - (-9)\/r)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36\/(-2)*(-5)\/430*-43\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12111220 (base 3) to base 13\nAnswer: 1aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*h**4 - 33*h + 36*h + 11*h**2 - 7*h**2 + 7*h**3 - 5*h**2 - 1 to the form s*h**3 + l*h**4 + b*h**2 + o*h + p and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 13*r - 1. Let d(i) = -i**3 - i**2 + 3*i + 3. Let a be d(-2). Is 5 a factor of k(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 + (33 - (-33 + -39)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 57.4 + -103451966449.\nAnswer: -103451966391.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 27 = 4*r, 3*q + 17*r - 6 = 14*r for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 2*h**2 - 55180984*h\/9 + 4087480\/3 = 0.\nAnswer: 2\/9, 3065610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129535431?\nAnswer: 3, 29, 47, 79, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(468) + 1)**2 - (sqrt(468) - (sqrt(468) + 0)*6).\nAnswer: 42*sqrt(13) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*y - 105747 + 276567. What is the thousands digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -42*o + 245. Let g be d(-14). What is the highest common divisor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/8  (b) 1.9  (c) 4  (d) -8.5  (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-32)\/10)\/(1 + (-18)\/20). Let m = 34 + x. Suppose -m*r = d - 153, 3*d - 4*r - 72 = 367. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-62) + (-9570)\/38874.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 6*l. Let h(f) = 18*f + 20*f - 41*f. What is o(h(u))?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 7) to base 16\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2788 and 67609?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -39*n**2 + 1322061*n - 137962639.\nAnswer: -78*n + 1322061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6829*s**3 + 6870*s**3 - 13611*s**3.\nAnswer: 88*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 + -1)\/(1\/2). Let o(q) be the third derivative of q**6\/120 + q**5\/15 + q**4\/8 + 3*q**2. Let a be o(-3). Do w and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 33319*k - 33319*k + 82*k**2. Let g(v) = -3*v. Calculate g(x(j)).\nAnswer: -246*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5019155398.\nAnswer: 2, 29153, 86083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492572 is divided by 336.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttivvtjvtdvtix. What is prob of sequence tx?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 76*f = -373, -1212*f = 3*i - 1209*f + 36 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 109 + -102. Let c = 306 - 250. What is the greatest common divisor of c and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*d**3 - 3 + 18*d**2 + 21*d**3 + 3.\nAnswer: -10*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, e: 1, m: 5, i: 1, c: 7, g: 1}. What is prob of picking 1 g, 1 i, and 1 c?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 28\/32453 and -18\/1955?\nAnswer: 162265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -1489*c**3 + 2976*c**2 + 58*c - 114. What is u(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -4*j**2 + j + 4. Let x be (-1 - -2)*(-3 + 3). Suppose 3*w + w + 4 = x. What is b(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/9 and -17\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3 - 1226*v**2 - 1224*v.\nAnswer: -2*v*(v + 1)*(v + 612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 164 = 4*z, -3*i + 0*i + 510 = -3*z. What is the highest common factor of 129 and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and 1587.\nAnswer: 1586.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**4\/4 - 7*t**3\/2 - 33*t**2\/4 + 28*t - 16 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (108\/10)\/(-3) + 4. Which is the nearest to 1\/7?  (a) v  (b) 0.5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 51 = -5*p. Let q(a) = -a**2 + 14*a + 3. What are the prime factors of q(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1 from -1.51.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 134, 263, 392, 521, 650, 779?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 1950?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -0*m + 5. Let b be (5\/(-1))\/((-2)\/6). Suppose -9 = -3*x - b. Sort -3, x, m.\nAnswer: -3, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(10\/((-1260)\/6))\/((-1)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1059911, -2119855, -3179799, -4239743, -5299687, -6359631?\nAnswer: -7419575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 182 and 238?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -4*n - 21. Let g be m(-6). Suppose -4*v = -g*z + 4*z + 41, 3*z + v + 123 = 0. Let u = -21 - z. Solve u = h + 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23601546.\nAnswer: 2, 3, 307, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a micrometer in nanometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i + 4. What is the remainder when x(3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11042 (base 10) to base 14\nAnswer: 404a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-four fifths of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -2*g, -g = 2*y - 5*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f = -4*h - 372, -154*f - 221 = -150*f - 5*h for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 29 = -i - 2*p, 4*i - 2*p - 104 = 0. Calculate the lowest common multiple of 27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/(-4)*(-19)\/(-342).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 12:48 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45 and 63183045.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -36*36\/(-192)*1376\/516?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -12672 and 1.80521?\nAnswer: 12673.80521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1737 smaller than -1736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 71298 by 11.\nAnswer: 71298\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 7:53 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25126 is divided by 12558?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5*(-4)\/(-240))\/((-1)\/14).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -4*g**2 + 40*g + 6. Let x be h(10). Solve -5*f - v - 25 + x = 0, -3*v - 9 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 - -10. Let q = 21 + u. Suppose 2*i - q = i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 116\/30499 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of 1\/20*i**5 + 1\/3*i**4 + 2\/3*i**3 + 16*i + 0 + 1\/2*i**2. Determine k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -72588273*a**3 + 2422*a - 10316?\nAnswer: -435529638*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-3)*3*-3 + 0\/(-244)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 63.1 and -30.423?\nAnswer: -1919.6913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -287000 and -4?\nAnswer: 1148000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 6\/11, 9, -4, -3, 189?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -85 - -87. Let t = 2.6 + -3. Put 0, t, n in ascending order.\nAnswer: t, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-nine halves of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 260 by -383.\nAnswer: -260\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1127023893 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -152\/17 + 253\/34. Put -6, -4, 0.61, q in descending order.\nAnswer: 0.61, q, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006469 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 1. Let w(t) = 7*t + 1. Let i(j) = -c(j) + w(j). Let b(d) = -d. Determine b(i(s)).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9340994 a multiple of 4048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c + 7*c - 2*c + 0*c + 8.\nAnswer: 3*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l - 3. Let i be z(-2). Let o = i - -9. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.2  (b) 1\/8  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + 4 - (8 - 4). Let h = -199\/4 - -49. Let r = -419\/11 - -38. Which is the second biggest value?  (a) r  (b) s  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -24*d + 8. Let g(p) = 4*p**2 + 121*p + 142. Let i be g(-29). Determine c(i).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53098?\nAnswer: 2, 139, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24856337?\nAnswer: 11, 419, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 2*o)*(2*o + 2*o - 3*o) + o**2 + 0*o**2 + 83 - 89 to the form k*o + q + w*o**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 32436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 PM and 8:05 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 37 in -0.01, 0, 247, 1\/2, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -81 or 18?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 952*a**2 - 4*a - 3. Let n be m(-3). Suppose -35*w = -38*w + n. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 - c. Let j be x(0). Suppose -3 = l - j. Sort l, -5, 5 in decreasing order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/4*(-6 - -8)\/2. Which is smaller: w or 2\/4153?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 - 19*a**2 + 77*a + 17. Suppose 0 = -t - 18 + 81. What is the remainder when t is divided by f(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*v + 12*v + 0*v + 2 - 64*v to the form x*v + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*y**3 + 75224*y**2 + 311446*y + 236236 = 0. Calculate y.\nAnswer: -5369, -22\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3ad3 (base 16) to base 8\nAnswer: 35323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 115337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-88)\/308 + (-9586)\/(-7483) + -1. Let r = 62971\/21380 - t. Calculate the common denominator of r and 5\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of -d**4\/12 + d**3\/6 - 6*d**2. Let t(n) = -2*n + 1. Determine 2*b(f) - 3*t(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 825518.\nAnswer: 2, 83, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -23*s**2 + 3*s - 21. Determine b(-5).\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -81*z. Let i(s) = -6*s - 15*s + 87*s + 56*s. Let c(b) = 5*i(b) + 7*u(b). Let g(f) = f. Give g(c(h)).\nAnswer: 43*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -235922 at least as big as -103.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4369.9 and -61.9?\nAnswer: 4308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 73417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1955002944 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**3 - j. Let x be s(-1). Let z(p) = -3*p + 3. Let i(y) = y. Let r(o) = -6*i(o) - z(o). Let v be r(x). Solve -3 = -l - v, 2*b + 3*l = 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3090 = 3*b - 14319. Let s = b + -2403. Round s to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 440*r**3 + 0 - 437*r**3 - 3.\nAnswer: 3*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -3. Let u(k) = -10*k**2 - 2*k + 1. Let s be u(1). Let b(h) = 5*h - 44. Let a(m) = -m + 9. Let j(o) = s*a(o) + v*b(o). What is j(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 8 in ascending order.\nAnswer: -3, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173*o - 99 - 154 = 93. Let q(t) be the third derivative of -t**6\/120 + t**5\/15 + t**4\/24 - t**3\/3 - t**2. Calculate q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-4) - (-3)\/2. Let p = 9 + o. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00024102 to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g. Let h(n) = 53*n + 1382. Let v be h(-26). Let f(a) be the second derivative of 0*a**3 + 0*a**2 - 12*a + 0 + 1\/2*a**v. Determine f(y(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*i + 2*i + 2*i)*(2 - 1 + 3)*(-7 + 7 - 4*i**3).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2497 - 29869\/12. Find the common denominator of y and (-1322)\/168 - 4\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.28630672 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 2*x + 40. Let l(n) = -8 + x + n. Let y(d) = 3*d**2 + 2*d**2 - 2*d**2. Determine y(l(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/24*(-104)\/39. What is the third smallest value in m, 0.4, 1\/79?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + 13*l + 32. Calculate the remainder when g(-15) is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 933 is divided by 167.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/18 in -1, -1561, 3, -1\/3, -5, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -640480.88 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 390, 661, 936, 1215, 1498, 1785, 2076?\nAnswer: 2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 819.6957l?\nAnswer: 819695.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11.599899 + -11.6. What is m rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 9*l**3 + 108*l**2 - 36*l - 445. Determine u(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - p + 3*p)*(p - 3*p + 0*p)*(-50*p**2 - 173*p**2 + 52*p**2).\nAnswer: 1026*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 34.4?  (a) 1\/3  (b) -0.05  (c) 2  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/9*(-4)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.31794 - -0.21794. What is the closest to 0 in 0.3, h, 1, 180\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 283227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -15. Calculate the highest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -79*p**5\/2 - 2683*p**4 - 50356*p**3 - 157952*p**2 + 12288*p = 0.\nAnswer: -32, -4, 0, 6\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 3 - 3*w + 0 + 0*w to the form p + u*w and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of 5*d**3\/3 + 5*d**2\/2 - 30*d - 91. Factor u(m).\nAnswer: 5*(m - 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 932 less than or equal to 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60496 is divided by 275.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -19946172 divided by 4?\nAnswer: -4986543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 594301 and 7657.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of 3*c**2 + 4*c + 2. Let o(z) = -4*z - 10. Let a be o(-7). Let i(n) = -25*n + 1 + a*n - 5 - 1. Give -4*i(t) - 5*w(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -25?  (a) 0  (b) 0.3  (c) -1\/6  (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 294896483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d - 9. Let j be n(6). Find the third derivative of 4*w**5 - w**j + w**2 - 3*w**2 + w**3 wrt w.\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 635296 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -556887 (base 10) to base 4\nAnswer: -2013331113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - 1. Let z be (-22)\/(-12) + 678\/(-452). Let n be 1\/(-10)*-2 - 0. Which is the third smallest value?  (a) n  (b) -2\/21  (c) o  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -5*p + 3*p - 6, 5*x + 2*p = 22. Suppose 0 = -i + 4*n + 1, 3*i + 2 = i + x*n. Let t(o) = -o**3 - 2*o**2 - 1. What is the units digit of t(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 3 - (13 + (52 - (-17 - -22))).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -4*q**2. Let h(d) = -7*d - 34 + 14*d + 34. Give h(n(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t + 5. Let m be u(1). Find the third derivative of 81*l**3 - 72*l**m - 21*l**2 + 14*l**2 wrt l.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 1:41 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-21)\/(7 + -9 + (-3)\/(-3)). Calculate the highest common divisor of q and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 85\/165 + (-24)\/132. Let 2\/3*z**2 + 0*z + 0 - c*z**3 = 0. What is z?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {s: 1, k: 2, o: 3, l: 3, g: 1, r: 7}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of -4*d**3\/3 - 2*d**2 + 8*d + 23. Factor l(p).\nAnswer: -4*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000031609375 rounded to 7 dps?\nAnswer: -0.0000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 65 + -61. Let o be (20\/6)\/(x\/(-6)). Let q be o*(4 - (-88)\/(-20)). Solve 5*h - m + 18 = -0*h, 3*m = 2*h + q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 0*c**2 + 6*c**2 + 4*c**2 - 1 + 5 - 1 + c**3. Give g(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 41*s**2 - 7*s - 72. Let l be r(-5). Suppose 0 = -2*t + 3*o + l, -5*t = 4*o - 2*o - 2451. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -6*o - 5. Let s(f) = -7*f - 6. Calculate -4*p(z) + 3*s(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 336 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3014355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3456.63 rounded to the nearest 10?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 2*u**2 - 79*u + 221. Let z be y(3). Sort 9, 4, -19, z in descending order.\nAnswer: 9, 4, z, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/3 or 3767211\/17?\nAnswer: 3767211\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-20) + (-109)\/(1275300\/(-251355)).\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 3*y - 2*l - 15, -5*l = -y + 5. Let f be (4 - 3) + (10 - 2). Suppose 3*u - f - 3 = 0. Solve 0 = -r - u*r + y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 997158 (base 14) to base 10\nAnswer: 5205642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6838.518 micrograms in tonnes?\nAnswer: 0.000000006838518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10673191 is divided by 99.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 5*y - 96, 0 = y + 4*k + 1 - 27. Suppose -7*t = -y*t + 869. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 2)*(5*k - 3*k - 4*k)*(2 - 3 - 3*k + 8*k) + 7 + 2*k**2 - 7 + (k**2 - 3*k**2 + 0*k**2)*(-3 - 2 + 2).\nAnswer: 38*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/4*((-120)\/(-18) + -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5873868 and 2079.\nAnswer: 17621604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of p**5\/30 - p**4\/12 + 2*p**3\/3 + 23*p**2. Let u be y(4). Let t = 117 - u. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 - 3*i + 9. Let z be k(-5). Is 9 a factor of ((-354)\/18 - 3)\/(z\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/8)\/((-10)\/1880). Suppose 0 = a*r - 40*r - 21700000. What is r rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -618*r**3 + 17 - 2*r + 0*r - 290 - 144 - 465 wrt r?\nAnswer: -3708*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.4 - 5.6. Let s = 2358 + -14107\/6. Let z = s + -15\/2. What is the closest to p in 0, z, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2157524, 0, 4 in increasing order.\nAnswer: 0, 4, 2157524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 46b7 (base 12) in base 5?\nAnswer: 223130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**3 + 316*o**2 - 307*o**2 + 14 - 14.\nAnswer: -3*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 5. Let x(q) = q**2 - 6*q + 4. Let s be x(m). Suppose 2*i + s - 20 = 0. Solve 0 = -5*g - w + 14, -i*g - 5*w + 24 = -6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 5901*f + 62558. Give m(-11).\nAnswer: -2353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 85*v - 104. What are the prime factors of g(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7470 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 840 and 0.022.\nAnswer: 18.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -662*d - 667*d = -1326*d - 3*n - 15, 0 = -d + 3*n + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-14)*7420\/(-6360)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-9)*(-5)\/20*6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 106.71 - 106.61. Which is the nearest to v?  (a) 3  (b) -3  (c) 2.11  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-10))\/((-622)\/7464). Let w be ((-2)\/5)\/(4\/(-6)). Determine h so that 0 + y*h**2 - 3\/5*h**3 - w*h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 98889792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 8 = -v, -3*v + 4*v = -3*q + 17. Suppose -4*s + v = -3*s, -2*s = 5*t - 54. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38\/77 - 136\/231. What is the closest to -1\/19 in 2\/15, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - 2*b**2 - b - 1. Suppose 2*n - 4*q - 17 = 5*n, 2*n + 4 = q. Give d(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 - 197*p**2 + 573*p**2 - 182*p**2 - 26 - 184*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 10*j - 6*j - 89, 3*j - t - 53 = 0. Suppose 18*u - j*u - 664 = 0. Is 37 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/7 - (738\/(-84) - (14 + -22)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145*v = 165*v + 200 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5365 = 12*b - 37775. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = n - 3. Let g be 21*2 - (2 + n). What is g rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - o + 6 = 0. Let j be (0\/1)\/(-30 + 34). Solve 2*x**2 + 6*x**4 + x - 2*x**5 - 6*x**o + j*x - x = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 33 + 75 = -2*u, 0 = 2*a - 3*u - 111. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -33 + 7 + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {i: 2, k: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*o = 58*o - 248. Solve -o*n + 62*n + 108 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2*w**3 - 8*w**2 - 12*w - 6. Let f be k(-4). Let s be (-21)\/f + (-15)\/(-2). Is s smaller than 52\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6.77982 + 0.37982. Sort f, -0.2, 2, -0.4, -2\/11.\nAnswer: f, -0.4, -0.2, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 1 + 3. What is the remainder when 4 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*((-22)\/(-297))\/((-8)\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 798*g**2 + 769*g**2 - 1597*g**2.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6.610162 milligrams?\nAnswer: 0.006610162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -54 less than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**2 - 3*r. Let s be n(2). Suppose -4*u - 332 = -4*j, s*j = 2*u + u + 162. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5753867.4845594 + -1.\nAnswer: -5753868.4845594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.012 + -1.988. Let i = 0.5 - 0.2. Which is the closest to j?  (a) -3  (b) i  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 l when three letters picked without replacement from {w: 2, l: 9, c: 2}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.2001283*0.3\nAnswer: 0.06003849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 + 11*t**2 - 12*t + 4. Let r be q(-12). Solve 0 = -3*c - c - r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c - 2*c + c + 40*c**3.\nAnswer: 40*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oofururfu. Give prob of picking 1 u and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p - 24 = -6. Let g be p + (-5)\/((-220)\/124). Let x(n) = n**2 - 4*n + 4. Let b be x(3). Which is bigger: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 3*l + 8. Suppose 2*k = -l*k + 18. Solve -k*a - 6 = -0*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -229*v + 7684 = 97*v + 126*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**3 + 17*z**2 - 10*z + 11. What is q(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from rrrvruuuurmurvuvr?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4*2\/8*(434\/(-28) - -15). Suppose h*r**2 + 1\/2*r**3 + 0*r + 0 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 915 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 788306?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -668*v**5 - 35*v**3 - 705188*v**2?\nAnswer: -40080*v**2 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**(-3)*g*g*g**(-4))**(-27\/2) assuming g is positive.\nAnswer: g**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.2  (b) -10.19  (c) 1\/10  (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = 2*h + h + 2, 3*h + 3*c + 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1096820245?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -27*f**2 - 2. Let p(j) = j**3 - 27*j**2 + 138*j + 45. Let l be p(20). Let t(d) = -53*d**2 - 5. Determine l*v(o) - 2*t(o).\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1407)\/(-28))\/(-67)*(-40)\/(-210).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5027.316ml to litres.\nAnswer: 5.027316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/3 - (0 - -1) - 297\/81. Let v(w) = 13*w**3 + 3*w + 4. Let t(i) = 13*i**3 + 2*i + 4. Give b*t(l) + 2*v(l).\nAnswer: -13*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/((-4)\/20*20). Solve -3*f + y*x - 3 = -2*x, x - 1 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/20 + (-1383)\/(-35) + (-225)\/(-175)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 72072 and 72072?\nAnswer: 72072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*t**3 - 183*t**3 - 162*t**3 + 330*t**3.\nAnswer: -115*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -716 (base 11) to base 7.\nAnswer: -2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {u: 1, y: 1, r: 8, o: 6}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 76568038 and -101.7?\nAnswer: 76568139.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001714852 to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-five quarters of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 1. Let s(d) = -99*d. Let t be s(i). Suppose -98 + 32 = -6*p. What is the greatest common factor of t and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 + 10*p - 264. Let t = 8 - 30. Let w be s(t). Solve w = 6*a - 14 - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42172975.\nAnswer: 5, 13, 129763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 334?\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 377, 1643, 5081, 11777, 22817, 39287, 62273, 92861?\n\"Answer: 181*i**3 - i + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37143*z - 1418347 = 1738808 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174223 = -186*m + 157483 for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 213*x**3 + 2*x**2 - 11*x - 19. Let p be 13 + -18 - -2*1\/(-2). Let o be j(p). Let z = o - -25989. Round z to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -3\/7  (b) 80.3  (c) 2\/7  (d) 0.1  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 103101 + -2?\nAnswer: 103033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 3*d - 8, 0 - 6 = -k - d. Suppose 4*u - 31 = 4*y - y, -2*y = -k*u + 14. Calculate the common denominator of -27\/22 and 59\/(-20) + u\/25.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 456 - 456.365. What is the nearest to 0 in 2, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 4 + 7. Suppose -4*y + 5*s = -37, -3*s = -2*y + y + 4. Let n = y + u. What is the remainder when 18 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 84.521409 hours?\nAnswer: 0.503103625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**5 - 15*d**4 + 27*d**3 - 21*d**2 + 6*d.\nAnswer: 3*d*(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 251138*c*u**2 + 248*c*u + 3*c + 16*u + 3 wrt u?\nAnswer: 502276*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 - p**2 + 11*p + 159. Calculate l(0).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(468) + sqrt(468) + 2*sqrt(468) + sqrt(468) - sqrt(468))*3 - 4*sqrt(468)*6)\/(sqrt(90)\/(1*sqrt(640))*4))**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 5*y - 18 = 0, -y + 77 = -4*m + 43 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*q + 217602 = 12*q. What is the greatest common factor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3*p = -15, 5*p - 4 = -24. Suppose -3*q + 7 = v. Let n be (-7 + 3)\/(2\/(-14)). Solve q*k - n = 5*h, 16 = 5*k - k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/1196 and (8 - 644\/(-80))*(-6)\/18.\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -52\/9  (b) -0.5  (c) -1\/3  (d) 8  (e) -2  (f) -3\/7  (g) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, -8 in descending order.\nAnswer: 5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(9\/(-15))*(-32)\/40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 28  (b) 8  (c) 86\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/4)\/(2\/(-12)). Suppose 6*k = n*k + 3. Let j = 6 + k. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 880353683?\nAnswer: 11, 179, 447107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 4 = -4*y, -2*q + 5*y - 11 = -6*q. Suppose -7*r = -q*r + 3. List the prime factors of 18 + (2 - 2) + r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.82047311*-0.01\nAnswer: -0.0082047311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -3 - 8) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -9*p - 37. Let l be j(-4). Let i = 164\/1023 - -2\/93. Which is greater: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q + 7*q**2 - q - 6*q + 6 - 2*q**3 + 2*q. Let h be c(3). Let l = 2 + -2. Solve 3*s = -l*s - h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 7 = -17. Suppose -5*k - u + 36 = 0. Suppose 3*l = 5*l - k. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*l + 5*y, 5*y - 3*y = -4. Suppose f - 5*c = 1 - 14, -l*c = -5*f + 4. Suppose -3*n = 5*q + n - 26, 0 = -f*q + n. Solve x - q - 1 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -4, 2644, 0.1, -0.09?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2089 * -0.2\nAnswer: -417.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 74 + 97bb?\nAnswer: 9873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 2\/9, -1, 0.3 in decreasing order.\nAnswer: 4, 1, 0.3, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -42*s + 1. Let f be n(-1). Suppose 0 = 3*j - j + 82. Let r = f + j. Solve 0 = r*u - 1 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6300828600 to the nearest 1000000.\nAnswer: -6301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 40379772 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21 + 20.8. Let f be (-1)\/3 + (-2)\/(-3). Which is the nearest to f?  (a) -1  (b) h  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4059 and 3795.\nAnswer: 466785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**2 + 3*t**2 - 2*t**4 + 0*t**2 + (-2*t**3 - 5 + 5)*(-2*t - 4*t + 4*t) + 3*t**4 + 3*t**4 - 2*t**4 to h*t + q*t**2 + m*t**4 + n*t**3 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s*s\/((s**(-1)*s)\/s)))**43\/(s**(5\/4)*s)**31 assuming s is positive.\nAnswer: s**(-451\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2307 + -1017. Suppose 4*s + s = -k + c, 4*s - 5*k - 1003 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**26*g*g)\/(g\/(g**15\/g))*g**(4\/19)*g*(g*g**(-4\/3))\/g assuming g is positive.\nAnswer: g**(2330\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -8113, -64888, -219005, -519136, -1013953, -1752128, -2782333?\n\"Answer: -8112*m**3 + m**2 + 6*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 245.139237 seconds?\nAnswer: 0.0028372596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/5  (b) -5  (c) 0.1  (d) -0.1  (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49*a + 49*a + 35*a**2)*(2*a + a - a) - 5*a**3 + 3*a**3 + 4*a**3.\nAnswer: 72*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m = -11*m - 55 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 4*o**2. Let r(y) = -11172*y. Give h(r(g)).\nAnswer: 499254336*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-24)*351\/162*(-128)\/(-208). Let v = 2.2 + -2. Which is the nearest to v?  (a) l  (b) -3\/7  (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/15 and -31\/25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -26, -47, -68, -89?\n\"Answer: -21*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 - 56*u**2 - 110*u - 105. Let m be c(-54). Suppose -35 = -3*v - 8. What is the nearest to 3 in m, -3\/4, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-9)\/(g\/((g\/(g**9*g))\/g)))\/(g*(g*(g*g**2)\/g)\/g*g)**(7\/5) assuming g is positive.\nAnswer: g**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m**4 - 3188504*m**3 - m**2 - 69031760*m wrt m.\nAnswer: -12*m**2 - 19131024*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (10 - (7 + -7)) + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 3*q = 22, -3*n - q = -4 - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5381814 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-989)\/69 + (6\/(-9) - 0). Let w be ((-2)\/(-4))\/((-2)\/48). Let u = t - w. Is -6 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 23*v**2 + 28*v + 101. Determine r(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + u - 2 = 0. Suppose -12 = -u*i + 58. Calculate the greatest common divisor of 14 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12250 is divided by 4060.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -1. Let b = v - 0. Let g = 0.8 + -1.2. Is b equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -13*o + 291. What is the lowest common multiple of c(17) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {o: 4, p: 3, j: 9, q: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/200*30\/432*8.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 6*m = -2*d + 6, -2*m = 2*d - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 + 23 = -4*u. Calculate the remainder when 131 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c, 1 w, and 1 u when four letters picked without replacement from qrrcwuuucccwcfcwfuw?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154*f = -1375 - 473 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.9 less than -76207?\nAnswer: -76221.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 778 - 779. Which is the smallest value?  (a) 3  (b) -3  (c) n  (d) 390\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i. Let c(b) be the third derivative of b**4\/12 + 2*b**3\/3 - 150*b**2. Give c(s) - 4*l(s).\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 22 + 6. Let o(b) = b - 5. Let p be o(5). Let z = 13\/3 - 3. What is the nearest to 0.1 in p, z, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 32*y**2 + 5086*y + 499. What is a(-159)?\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001010 - 10010111011?\nAnswer: -10001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 32053874 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 3*m + 584, -139 = 10*i - 11*i - m. Suppose -i*p + 134*p + 855 = 0. List the prime factors of p.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*y**3 + 20*y**2 - 20*y**2.\nAnswer: 33*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 117 + -53. Suppose -7*c + 3*c = -l. Let s(p) = 2*p - 18. Calculate the smallest common multiple of s(c) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*c**3*s**2 - 74703982*c**3 + 33*c**2*s - c*s**2 + 90*c*s - c - 7*s**2 + 10*s wrt c?\nAnswer: 30*s**2 - 448223892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, 922, -4, -1\/3, -0.5 in descending order.\nAnswer: 922, 25, -1\/3, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -11*y**3 + 58*y**2 + 4*y + 4. Let d(q) = 75*q**3 - 405*q**2 - 27*q - 27. Let c(o) = -4*d(o) - 27*i(o). Solve c(r) = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/8*-1)\/((664\/(-96))\/83)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m + 2*m - 2*m - 2*m + 4*m + 0*m + (-3 - 1 + 2)*(-3*m + 3*m - m) + 0*m + 2*m - 3*m + (-3 + 3 + 2)*(-7*m + 3*m + 2*m) + 18*m + 6*m - 9*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 8, 2*j - 4*d = -2*j + 480. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-140)\/50*(10\/(-4))\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 45 + -210. Let h be (550\/b)\/((-5)\/(-3) - 1). Let g(w) = w**2 - w + 1. What is g(h)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 1.2, 2, 1\/11, 84, 1\/2, 0.2, 1\/4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10.3 + 3.7. Which is the smallest value?  (a) z  (b) 1  (c) -0.3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*d + 6 = 59*d, -4*g + 2*d + 3786 = 0. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1, -45, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of w**5\/20 - w**4\/12 - 28*w**2 - 2*w. Let i be t(0). Let q = -25 - i. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 76 + -74919?\nAnswer: -74853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 228475.889 to the nearest one hundred.\nAnswer: 228500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 1. Let t = 1 + f. Which is the third smallest value?  (a) t  (b) 0.4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2315990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5838, -8054, -10266, -12474, -14678?\nAnswer: -16878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from zziuzyyyiiyizyzyiyyy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 688368 (base 14) in base 4?\nAnswer: 31210120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*g + 1050 = 6734, 0 = 3*w - 2*g - 3408. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.09?  (a) 2\/13  (b) 0.1  (c) -2\/3  (d) -33\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-160)\/60*6\/4*(-6)\/(-68)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 4*u**2 + 1340*u + 3984 = 0.\nAnswer: -332, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 292*a**2 + 129*a - 845. Let y(m) = 351*m**2 + 129*m - 846. Let x(k) = 6*r(k) - 5*y(k). Let x(o) = 0. What is o?\nAnswer: 8, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o**3 + 39*o**2 - 20*o + 32. Calculate the remainder when 35 is divided by a(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9939\/1628 + 329\/74. Calculate the common denominator of u and -5\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f + 14 = 11*f + 4*x, 2*f - 10 = -3*x. Let u be 0\/f + (-1 - (-6 + 0)). Suppose 0 = -3*z + 4 + u. Solve z*b - 8 = -0*q - 5*q, q = -b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s + 14 + 13 + 1 - 28.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3576773 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/21 + (-152896)\/56. Let v be (-2)\/7 - (-42479567)\/j. Let m = v - -15558. What is the common denominator of m and -61\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 18. Let y be 5\/x + 8\/(-18). Suppose r = -3*r. Is y at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4475, 4629, 4781, 4931?\nAnswer: 5079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 1\/114, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 5. Find the second derivative of -l**x - l**4 + 2*l**4 + l**2 - 5*l wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 104 = 2*t + 3*y, -2*y = -4*t + 84. Suppose -t = -3*z + 7. Suppose -18 = -n + z. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -238*62\/(-1519) + (-252)\/(-196).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c7 (base 14) to base 2.\nAnswer: 101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 3*x + 3, 6*d + 3*x = 3*d. Suppose 11 - 5 = d*m. Suppose k = m*q + q - 18, 0 = -2*k - 6. Solve -25 = -q*g, -z + 5*g + 8 = 34 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1170  (b) 64  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 20.2  (c) -1\/9  (d) 103\/4  (e) -3  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 PM and 10:06 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + -1. Let g = d - -5. Suppose -g*y + 13 + 21 = 0. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 952 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1621557, -3243103, -4864647, -6486189, -8107729?\nAnswer: -9729267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-43)\/(-120) + 10 + -10 + 39\/(-117). Let f(l) be the second derivative of -1\/16*l**4 + n*l**5 + 14*l + 1\/24*l**3 + 0*l**2 + 0. Solve f(k) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 6*p + 5. Let h(x) = 39*x + 12. Let j(u) = -3*u - 1. Let t(l) = 2*h(l) + 27*j(l). Let i(q) = 5*t(q) + 3*y(q). What is i(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -13*f + 2. Let c be ((-2)\/(-3))\/(1\/18). Let o = 3 - c. Is j(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1113*c + 2750 - 18332 = 0 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2742\/(-276) + 2)*(-90)\/25*1. Which is greater: 28 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 14 + (1 - (8 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2*sqrt(42)\/sqrt(2) + sqrt(21))\/sqrt(3) + 0.\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1471794 is divided by 781.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 990 and -2?\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-128)\/22 - (-2)\/(-11). Let q = -3 - y. Suppose 3*a - 49 = a - q*l, -4*a + 4*l + 88 = 0. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 357 + -356.6. What is the second biggest value in 7, -4, -9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25580*g + 478*g + 5292475 = -8087*g for g.\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of g**5\/60 + 65*g**4\/18 - g**3\/18 - 65*g**2\/3 + 1576*g. Factor y(q).\nAnswer: (q - 1)*(q + 1)*(q + 130)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14689913 or -14689914?\nAnswer: -14689913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 116*f + 0*f**2 + 4 + 118*f. Calculate the remainder when m(-3) is divided by 1 + (0 - -1) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l - 1. Let k(b) = 18*b + 15. Determine k(c) + 2*p(c).\nAnswer: 20*c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -1 + 4*z**2 - z + 0 - 2 + 4*z. Let o(c) = 63*c**2 + 49*c - 49. What is 3*o(r) - 49*q(r)?\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 2, -3 in increasing order.\nAnswer: -5, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -x**3\/3 + 14*x**2\/3 - 8*x = 0.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -3, -16, 4 in increasing order.\nAnswer: -16, -3, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 17f02 (base 16) to base 13\nAnswer: 35824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -84, -82, -80?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 167 - 181. Suppose 0 = 3*t - 8*t, 220 = -5*b + 2*t. Is 1\/(-3 + b\/d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -32897, -32913, -32955, -33035, -33165?\n\"Answer: -2*t**3 - t**2 + t - 32895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -43*t**3 - 2*t**2 + 4*t. Let m(g) be the third derivative of 43*g**6\/120 + g**5\/30 - g**4\/8 + 9565*g**2. What is 4*m(j) + 3*r(j)?\nAnswer: 43*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)\/(sqrt(4)*3) + (-3 + sqrt(19))*6 - ((2 + 0 + sqrt(19) + sqrt(1900) + 0)*-4)**2)*-2 + 0.\nAnswer: 4186*sqrt(19)\/3 + 73732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11459134\/15 - 763579. Let o = 363 - b. Is o <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16.8 - -13.8. What is the second biggest value in -5, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) -1  (c) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*m - m - 4*m)*(6 - 5 - 2) to n + c*m and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a (base 13) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 + (-20298)\/(-18))*12\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1152 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*d + 66 = 0. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/5352 and 15\/38356.\nAnswer: 230136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 + 3*d - 1. Determine i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b**2 + 177*b**3 - 2*b**2 + 5*b**2.\nAnswer: 177*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**5 + 43248*n**4 - 2*n**2 + 158*n + 575 wrt n?\nAnswer: -20*n**3 + 518976*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2. Let u(b) be the second derivative of 7*b**4\/4 + b - 328. What is s(u(t))?\nAnswer: -441*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*l + 25*l - 28*l)*(2 - 5 + 4)*(5 + 0 - 3 + (4 + 1 - 4)*(2 - 2 + 2)).\nAnswer: -180*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 50243 + -28534. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u**3 + 75*u**2 - 28*u + 115. Give x(25).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*a**3 - 24*a**4 + 2*a**2 + 5 - 4 + 14*a**4 to x*a + f*a**3 + l*a**4 + p*a**2 + v and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from altae. Give prob of picking 1 a and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 267*a + 3953. Calculate t(-4).\nAnswer: 2885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 4 = z, 3*k + 5*z - 1850 = 0. Suppose -g - 3*c + k = g, -2*g + 606 = 4*c. Suppose x = 4*f - 296, 5*x = 3*f - g + 106. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2033 - 2036. What is the third smallest value in 609, 5\/4, s?\nAnswer: 609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 124 = -j. Find the second derivative of 0*c + 31 - 4*c**2 + 3*c - j wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 10*w + 2. Suppose c = 15 - 5. Let h be l(c). Suppose i = -q + 2 + 41, -q = h*i - 89. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -9, 6, -1\/15, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 52, 6270, -5 in ascending order.\nAnswer: -11, -5, 52, 6270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10680 and 24.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*f - 4*k = -104*f - 21, -5*f + 29 = k. Put 20, f, 4, 6 in descending order.\nAnswer: 20, 6, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-10) - 276\/(-15). Let h be 40 + ((-6)\/(-3))\/(-1). What is the highest common divisor of h and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 + (-276)\/(-63) + (-8)\/(-28). Suppose -i**2 - w - 3\/2*i - 1\/6*i**3 = 0. Calculate i.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2924116*n**4 + 4*n**3 - 12509642*n**2.\nAnswer: -70178784*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 2*m = -25. Suppose -12 + 0 = -4*w. Suppose 2*l + 14 = 4, l + 56 = w*v. What is the remainder when v is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8645405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 5 = -h + 4, -3 = -d - h. Let l = -3386 + 23794\/7. Let p = l - 587\/42. Which is smaller: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16199440583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 197\/3 + -65. Let m = 10.99 - 10.98. Sort -1, g, -1\/4, m.\nAnswer: -1, -1\/4, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of -b**6\/10 + b**4\/12 - 3*b**2 + 56*b + 41. Let w(m) be the first derivative of p(m). What is the derivative of w(a) wrt a?\nAnswer: -12*a**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5.152339 kilograms?\nAnswer: 5152.339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -488*s + 494*s. Let o be 0*(-10)\/60 + s\/8. Is 34\/3 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204*z = 209*z - 4*n + 221, -z + 5*n = 61. Sort 2, -5, z.\nAnswer: z, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - l - 6. Let j be w(4). Let c(f) = j*f**2 + f**2 - 8*f**2. Let z(o) be the first derivative of o**3\/3 + 1. What is z(c(v))?\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1836319\/618528 + -2\/19329. Find the common denominator of -85\/62 and f.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -0.5  (b) -1.1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c\/c**(-2\/69)*c*c*c*c**31\/c)\/(c*c\/c**(-18))**(1\/23) assuming c is positive.\nAnswer: c**(2426\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/3300 and -79\/240?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**2\/2 + 711325*f\/4 - 59277\/2.\nAnswer: -(f - 118554)*(6*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80 - m + 32 + 22 + 26.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 349840 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*b**2*j*z + 369*b**2 - 62132*b*j*z + 2*b*j - 3*b + 268*j*z + 2*j + 3413 wrt z.\nAnswer: -3*b**2*j - 62132*b*j + 268*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74.78662 minutes to nanoseconds.\nAnswer: 4487197200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -5*d - 21. What is the second biggest value in 2\/9, d, -2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-16)\/24 - (-95)\/3. Let r = v + -29. Solve 4*s + 2 = 5*q, r = -2*q + 5*s - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 114445 - 6?\nAnswer: 114439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -4759632 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n**2 - 40*n - 105. Give j(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44958 + 12652 = -557*r for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 249111 at least 249113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 138*h - 3372. Calculate c(25).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1043*t*v**2 - 5*t*v - 11*t + 2*v**4 + 2*v**3 + 3*v + 10 wrt v?\nAnswer: -2086*t + 24*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4822 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/169 and (-4 - (-170)\/45)*-84?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (49 - 14) + -24 - (23 - (-3 + 2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 - 5*o + 4. Let m be a(-6). Let h(b) = 2*b**3 + 2*b**2 + b + 1. Let i be h(m). Let t = 30 + i. What is the greatest common divisor of t and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*y + 18*y**5 + y**4 + 12*y - 20*y + 10*y wrt y?\nAnswer: 360*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 546 - 542. Let z(r) = -r - v*r + 3*r - 27 + 0 + 0*r. What is z(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 59, 78, 115, 176, 267?\n\"Answer: i**3 + 3*i**2 + 3*i + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of u**6\/360 - 14*u**3\/3 - 5. Let r(k) be the third derivative of d(k). Let g(s) = -1 + 3 - 106*s + 51*s + 58*s. Give r(g(n)).\nAnswer: 9*n**2 + 12*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-26)\/(-30) - (-1)\/(-5). What is the closest to t in -1, 1\/10, 1\/7, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3480065*r**2 - 2951427 wrt r.\nAnswer: 6960130*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/5  (b) -5  (c) 3\/11  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/9*(-6)\/(-9)*(-774)\/1720.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 2*q + 4*q)*(-q**3 + 24*q**3 + 74*q**3).\nAnswer: 97*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 13150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 107965 and 24618.\nAnswer: 241625670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 6*u**2 - 42*u - 16. Let k(m) = 4*m**3 + 23*m**2 - 173*m - 64. Let f(a) = -9*j(a) + 2*k(a). What is f(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -1379*l + 341522. Give d(247).\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -50, 57, 236, 487, 810, 1205, 1672?\n\"Answer: 36*t**2 - t - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 2 x, and 1 t when four letters picked without replacement from xxxwxxxtxxxxxx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-4*(-12)\/(-168)). Solve -2*c - y = -4*t + 1, -t = -3*c - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of 2*x**3\/3 - x**2 - 2*x - 45. Let j(z) = -z**2 + z + 1. Determine 14*j(a) + 6*q(a).\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -259927, -3, 818 in increasing order.\nAnswer: -259927, -3, 818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of 1\/2*m**4 + 9\/2*m**2 + 1\/15*m**5 - m + 0*m**3 + 0. Let z(h) be the first derivative of c(h). Factor z(t).\nAnswer: 4*t*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*342\/(-5168)*(160\/12)\/(-5)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 4800.043101 to the nearest integer.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d + 19. Let x be (-1)\/((-2 - 1)\/(-9)). Let m(z) = -z - 6. Let u(r) = x*f(r) - 8*m(r). Is u(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -73 (base 8) to base 3\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {b: 2, v: 3, z: 1, j: 2, f: 2, l: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3347*j + 6988739 = -3318*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 323 - 740 + z**3 + 2*z**2 + 337 - 2*z as n*z**3 + a + v*z**2 + t*z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -144, 0.03, 966, 4, 2\/3 in increasing order.\nAnswer: -144, 0.03, 2\/9, 2\/3, 4, 966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j**3 - 8*j**2 + j - 12. Let x be p(-6). What is the greatest common factor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - b - 25 = 0, 5*w + b = -0*w - 30. Let d(y) = y**3 + 6*y**2 + 4*y - 5. Let v be d(w). Which is smaller: v or 1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320 is divided by 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 369, -8, -621, -1470?\n\"Answer: -118*l**2 - 23*l + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 4*s + 2*i - 23, 2*i - 2 = 2*s. Let o be (-10)\/(-35)*s\/(-8). Let j(t) = -t**3 - t**2 + 8*t + 7. Let n be j(-3). Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13659.09426 microseconds to weeks.\nAnswer: 0.00000002258448125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**0*g)**(-7))**(-10)\/((g*g**0)**(-45)*(g\/g**(1\/2))**28) assuming g is positive.\nAnswer: g**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 6*t - 1080. Let w = t - 133. Suppose 10 = -w*s + 22. Solve -2*g = -0 + s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1046, -980, -870, -716?\n\"Answer: 22*i**2 - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, o: 2, u: 2, s: 1}. Give prob of sequence ko.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 - 4725*o**2 + 1118640*o - 1113920.\nAnswer: 5*(o - 472)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lh when two letters picked without replacement from hslhhlhlhhlcshsl?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5458, -17624, -36498, -62074, -94346, -133308, -178954, -231278?\n\"Answer: h**3 - 3360*h**2 - 2093*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1294, -4, 148, -2 in decreasing order.\nAnswer: 148, -2, -4, -1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 7, j: 6}. Give prob of sequence mmj.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (11213 - 11285) + (0 - 17)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 57585540217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 16. Let k be j\/(-28) - 2\/7. Solve 0 = -2*s + 2*l, k*l + 7 = 4*s + 3*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000076541834 to 7 decimal places.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 5*d - 19 = 5, -2*p = -3*d + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + sqrt(1617)\/sqrt(3))*3.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.006 + -129.706. Let s = 73 - 206. Let m = s - k. What is m rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114404 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 52*v - 55. Let y be g(9). What is the greatest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3179.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -41?  (a) -3  (b) -3\/5  (c) -0.5  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 127490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 5. Let l = -340 + 334. Which is the nearest to 1\/2?  (a) 0.1  (b) y  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1015*f - 1051*f + 20097 = -1805*f for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -14, 5, -38, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -6*n - 27. Let b(q) = 25*q + 135. What is -2*b(t) - 11*o(t)?\nAnswer: 16*t + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*r + 12*r + 6*r + (-2 + 2 - 2*r)*(2 - 3 - 1) - r + 0*r + 0*r - 2*r + 4*r + 5*r + (r - r + r)*(1 + 1 - 1).\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52, 57, 66, 79?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 11374 times 0.01838\nAnswer: 209.05412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - (sqrt(110) + sqrt(110)*3)*-6)\/(sqrt(10) + ((-3*sqrt(100))\/sqrt(10) - sqrt(10))).\nAnswer: -25*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63, 235, 521, 921, 1435, 2063?\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41 + 95. Suppose 1908 = 3*v + 5*b, 9*b + 1346 = -14*v + 16*v. What is the remainder when v is divided by g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.5 take away -110670?\nAnswer: 110750.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (10 - (-10 + 6))*(2 - 1). Suppose -36 + v = -g. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 534002?\nAnswer: 2, 7, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -2*m + 7*m. Let a(i) = m*i + 26*i + 3*i. Calculate the remainder when a(1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1176\/16 + -67)*6\/39*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/g**(3\/7))\/g)**29 assuming g is positive.\nAnswer: g**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*f**5 - 80321*f**3 - 1992*f - 39 wrt f?\nAnswer: -40*f**3 - 481926*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -7 - 1 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 108*z**2 + 11*z + 4. Let j be (12 - 2)\/(2\/1). Suppose 2*o - 120 = -j*x, 2*o + 31 = x + o. What is the remainder when f(-1) is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 2*b + 0*b)*(9*b**2 - 4*b + 4*b) - 15*b**3 - 29*b**3 - 89*b**3.\nAnswer: -142*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 13, -143, 4, 6, 29.\nAnswer: -143, -2, 4, 6, 13, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2. Let j(l) = -4*l. Let q(t) = -21*t. Let y(a) = 24*j(a) - 5*q(a). Let w(d) = 18*d. Let k(b) = 6*w(b) - 13*y(b). Calculate f(k(s)).\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -5*(126\/(-20) - -6)*326?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1305153 by 63.\nAnswer: -145017\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 139139633 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 13*h**3 + 63*h**2 + 4*h - 2. Let n(u) = -2*u**3 - 9*u**2. Let w(z) = -6*n(z) - q(z). What is w(-8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 - 12 = -3*m. What are the prime factors of m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145 = -10*u - 165. Put u, -1\/3, -2\/17 in increasing order.\nAnswer: u, -1\/3, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y. Let h(p) = p**2 - 56. Determine m(h(c)).\nAnswer: -c**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3540\/(-531) + (3 - -4) + 1\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26.2 - -31. Round m to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s + 6. Let j be m(3). Let q = 6 + j. Solve 0 = -q*d + 2 - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*x + x + 13*x)*(1 - 2 - 2) as m + w*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does -436\/7 = -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 - 823*m**2 + 858*m + 27841. What is v(-824)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-117096)\/6*(-4)\/16?\nAnswer: 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3299 - 3219. Let v = 164 - 100. Calculate the greatest common factor of v and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from kakoyqt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {d: 1, b: 2, t: 1, f: 3, s: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -78, -76, -74, -72, -70?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 15) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(2)*2 - -1*sqrt(200))**2 - sqrt(18)\/(-3*sqrt(576)).\nAnswer: -575*sqrt(2)\/24 + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.58, -11 in ascending order.\nAnswer: -11, -1, -0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 945?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/8  (b) 1\/2  (c) 0  (d) 0.3  (e) -2\/129  (f) 1965\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.226877 less than 0.63283?\nAnswer: 0.405953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1915.\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-4)*(-136)\/24 + 30\/(-6) + 1\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 times 0.991?\nAnswer: -0.03964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/((-242)\/(-60) + -4). Let g = -8 + o. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -368 divided by 4\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 47 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 7*h, 47*n - 49*n + 2*h = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 0.5, -69645, 3, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -597 = 152*x + 47*x. Let k(v) = 3*v - 3. Let y(z) be the third derivative of -z**4\/6 + z**3\/2 - z**2. Give x*k(o) - 2*y(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 755 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 123*m. Let z(r) be the first derivative of -10*r**3\/3 + 1542. Calculate t(z(g)).\nAnswer: -1230*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 25*w**2 - 54*w + 44. Let q be o(-23). Let u be 214\/12 - (-38)\/q. Solve 6*x + u = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - v + 11, m + 3*v = -34 + 11. Let d(j) = -3*j + 75. Let p be d(m). Calculate the highest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8 - 1) + 1 + -6. Let d(v) = 4*v**3 - v**2 - 2*v - 1. What is the remainder when d(c) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 599 + -1295\/2. Let m = 56 + j. Calculate the common denominator of m and (1\/9)\/((-10)\/870).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of v**5\/15 + v**4\/12 - v**3\/3 - 21*v**2\/2 + 7. Let c(p) be the second derivative of k(p). Determine r, given that c(r) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*o**4 - 182464*o - 202131851 wrt o?\nAnswer: 8*o**3 - 182464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/2 - 2219*n + 4439\/2.\nAnswer: -(n - 1)*(n + 4439)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-390)\/135)\/(-13) + 11\/(-9). Do p and -2\/2519 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -2*b + 12. Let x be ((-8)\/b)\/(4\/(-18)). Let l be (2 - 0)*x\/(-4). Solve -l = 5*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.71366 - 9446645.\nAnswer: -9446644.28634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 - 2. Suppose 3*f - h = 2*h + 12, -16 = -4*f - o*h. Let g be 84\/(-35) + 4 - 6\/10. What is the nearest to g in 2\/3, f, -1\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {l: 6, i: 1, w: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*d + 69*d = -111*d + 2166 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 50, 112, 210, 356, 562, 840, 1202?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 3 + 39. Suppose 0 = t - 4*c, -5*t - 2*c + f = -8. Let r be (-110)\/40 - 1\/4. Sort r, t, 5 in descending order.\nAnswer: 5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 97*j**3 - 164 - 2*j + 102*j**2 + 160 - 104*j**2 to the form n*j + w*j**3 + f*j**2 + b and give w.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*k + 102*k**2 - 26*k**2 - 47*k**2.\nAnswer: 29*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-18) + (-66542)\/(-2961). Let c = -4\/141 + h. What is the common denominator of c and 121\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 42 - 26. Let s(y) = t + y**2 + 26*y**3 - 17. Let u be s(1). What is the greatest common factor of u and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z = 8*i - 6*i - 8*z + 45, -33*z = 3*i + 348 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -611, -1210, -1795, -2366?\nAnswer: -2923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4.1?  (a) 0.2  (b) -4  (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 66 and 1056.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 68199 and 586941.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 414522*q**2 - 530470*q.\nAnswer: 829044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*n = 99 + 2, 76 = 4*w - 4*n. Let x = w + -6. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*g + 7*g = -112. Suppose -g*r + 2*r + 5*y = -37575, 4 = 2*y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -4214 + 1439. Factor -10 - 553*o**2 + r*o**2 - 6 + 31*o.\nAnswer: (o + 16)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 3*a - 154 - 174, 4*j + 4*a - 1344 = 0. Suppose 284 = -8*i + j. Let z(o) = -o**2 + 7*o + 8. Calculate z(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 878856.\nAnswer: 2, 3, 11, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + (-50)\/(-15))*0. Suppose t = -3*g + 21 - 12. Solve 2*i = -i + 3*n - g, -5*n + 35 = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -351881045 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 1813 divide 23551415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - (sqrt(245) + -1))*5*-5)**2*6.\nAnswer: -45000*sqrt(5) + 678750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1142, -1143, -1144, -1145, -1146, -1147?\n\"Answer: -f - 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.76 + 4.76. What is the closest to 0.1 in s, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from tyytgnb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 50 = -5*i, -4*i + 9*i = 3*t + 40. Let s(y) = -y + 8. Let q be s(i). Suppose -p = -q - 1. Sort 2, p, -3 in descending order.\nAnswer: p, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 - -2.6. Let l = -2.4 + s. Let w = l + 3.7. Which is the second biggest value?  (a) -3  (b) -1\/9  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - 4*y + 5*y)*(0 - 4 + 2)*(-2*y**2 + y**2 - 3*y**2) + 2*y**3 - 3*y + 3*y + (3*y - 4*y + 2*y)*(4 - 4 + y**2) + 0*y**3 + y**3 - 3*y**3.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 99.8722 + -0.55862.\nAnswer: 99.31358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 7 = 3. What is the smallest common multiple of q and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 3 - 16 = n, c = -4*n - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 12*z = 3 - 1, 3631 = 2*h - 3*z + 3572 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from {s: 2, z: 1, p: 2, h: 3, q: 2, l: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26118 = 9*i + 3123. List the prime factors of i.\nAnswer: 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-4 + (sqrt(539)*-2*2 - sqrt(539) - sqrt(539)) - (sqrt(539) + -1 + -4 + sqrt(539) + (sqrt(539) - (-2*sqrt(539) + -1))))*5)**2.\nAnswer: 3080*sqrt(11) + 1630491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20138*k**2 + 21036.\nAnswer: -40276*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p - 717223 + 717815 = 0 for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 3*g**5 - 99*g**4 + 525*g**3 - 1089*g**2 + 984*g - 324 = 0?\nAnswer: 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19305325 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1e - -178?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) - -5*sqrt(84)) + sqrt(84))*-6)\/(sqrt(343) + -2*sqrt(343)*-3).\nAnswer: -96*sqrt(3)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 9) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000006784835 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 13*o - 262. Determine j(23).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -754, -9856 in ascending order.\nAnswer: -9856, -754, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3335 - 13387 + 1885 + 4897)*(5*c - 7 + 7) to u + v*c and give v.\nAnswer: -16350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/2)\/(2\/(-24)). Let c = -32 - -60. Let q be (-3)\/(-9) - c\/(-6). Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = 3*a + 3, -3*n = 5*a - 3 - 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-12)\/102 - (-6513)\/17. Let y = -633 + c. Let g be y\/((-5)\/(-704000)*4). What is g rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12002020211 + 1?\nAnswer: -12002020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l**2 + 2. Let m(r) = 2*r**2 + 1. Let b(z) = -g(z) + 2*m(z). Let d(w) = -43*w**2 + w. What is d(b(j))?\nAnswer: -43*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2029 + 2030 + 94*v - 39*v.\nAnswer: 55*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -163 + 1791\/11. Which is the biggest value?  (a) 1  (b) g  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 5*m**2 - 11*m + 2. Let j be t(3). Let q be -3 + (1172\/364 - 2\/j). Let s = -10 + 9. What is the third smallest value in 5, s, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6808 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4101216 rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 43\/2 of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, -364, -3384 in decreasing order.\nAnswer: 4, -5, -364, -3384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {q: 4, n: 5, s: 1, g: 6}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1260935?\nAnswer: 5, 13, 19, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 - 10*m + 10. Let u be z(7). Let d be (u\/(-22))\/((-10)\/(-4)). Sort 1, -5, d in descending order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 378 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10956465.\nAnswer: 3, 5, 13, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3933 divided by 3.\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -336*s**2 + 222*s**2 + 152*s**2.\nAnswer: 38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 9 = -b. Let z be 161 + -2 - b\/(-3). Suppose 0 = -2*y + 4*f + 64, 4*y - f + 4*f = z. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 5:53 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 142.4 + -144.4. Suppose 10*a = 3*a. Suppose -2*l - z - 7 = 0, a = 3*l + 4*z + 3 - 0. What is the third smallest value in 3, b, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f + 40 = 2*f. Let h = f + 13. Suppose -4*m + 6*m = -5*a + 165, h*a - 4*m = 195. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (-15 + 36 + -4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u + 5. Let n be b(5). Let q be ((-344)\/(-20))\/((-8)\/(-20)). Suppose 0 = -c - 7 + 2, 2*f + c - q = n. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8494235*l**4 - 207*l + 10145?\nAnswer: -101930820*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 980 - 1635. Is p at least as big as -656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-s**3 - 3*s**3 + 5*s**3)*(1 + 2 - 2) - 12*s + 17*s - 885 + 881 - 4*s**3 to z*s**2 + d*s + h*s**3 + i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -3728  (b) -20  (c) -0.042\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 - 4*c**2 + 24*c**2)*(-7 + 11 + 6*c**2 + 2*c - 5*c**2).\nAnswer: 19*c**4 + 38*c**3 + 76*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 12*p**2 + 4839*p - 24191. Determine c(5).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) 6  (c) 1  (d) -1584  (e) -0.4  (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 528169*h. Let o(r) = 3*r. Calculate o(u(c)).\nAnswer: 1584507*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.919199 millilitres in litres?\nAnswer: 0.000919199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + k - 5*k**2 - 2*k)*(-281 - 90 - 280) - 20 + 20 - 7*k**2.\nAnswer: 3248*k**2 + 1302*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7056 - 7061. Put i, 12, 10.2 in ascending order.\nAnswer: i, 10.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 2)*(4*u - 4*u + 2*u) + (3*u + 0*u - 2*u)*(1 + 0 + 1) + 4*u + 0*u - 2*u - 3*u - u + 3*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + -10536?\nAnswer: -10537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -11 - 35*d + 7*d + 14*d + 7. Give i(5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1051 = -243*t - 164. What is the closest to 1 in -0.24, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -0*p - 4. Let r be -1*1\/(-2)*p. Let q(v) = 5*v**2 + 6*v - 7. Let l(u) = -6*u**2 - 7*u + 8. Let h(n) = 6*l(n) + 7*q(n). Give h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.2 - 0.8. Suppose 3*b = 15, -2*m + 0*b - 3*b + 9 = 0. Let c(h) = -h**2 - 4*h - 2. Let y be c(m). What is the second biggest value in p, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*g**2 + 22*g - 56*g + 31*g in the form u*g**2 + r + l*g and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5864 by -2932.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence npac when four letters picked without replacement from achpncpbb.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 6 = 2*k, 195*r + 21 = 5*k + 197*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15715 and 11489910.\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 281\/3, 76 in descending order.\nAnswer: 281\/3, 76, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -332\/3 + 2533\/24. Find the common denominator of -59\/9 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 4*f = -1 - 11, -2*v - 2*f - 18 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x. Suppose -5*z + 18 = 3. Let u(t) = -t**3 + 4*t**2 - t - 4. Let s be u(z). Let l(w) = -4*w**s - 3*w**2 + 6*w**2. Give h(l(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 11:36 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5598*h**3*n**3 + h**3 + 61924*h**2*n**2*w - 2*h*n**2*w + 4459*n**3*w + n**2*w - 4*w wrt n?\nAnswer: 33588*h**3 + 26754*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 AM and 8:29 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 746831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3913498 to the power of 1\/2, to the nearest integer?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/(-2)*((-1038700)\/(-75) + 6)?\nAnswer: 7, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2683728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 19 + (-22)\/693*-35 + 8760\/(-108)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 1, 12, 17.\nAnswer: -4, 1, 4, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4d025 (base 15) to base 7.\nAnswer: -2044253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 8*r + 37. Let a be c(-4). Suppose -11*m + 7*m + a*n = -23091, 4*n + 11538 = 2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -2*y - 3, 2*g + 4*y - 2 = -20. Let i = 6 + 3. Let t = i + g. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (z + 2*z - 4*z)*(1298*z**2 + 6715*z**2 - 2952*z**2) in the form y + g*z**2 + n*z + j*z**3 and give j.\nAnswer: -5061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1312*a**2 - 544474*a + 2490.\nAnswer: -2*(a + 415)*(656*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3055 + 1?\nAnswer: 3056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -139 - -214. Let l be ((-2)\/6)\/((-5)\/g). Suppose -l*o - 6 = -4*k, -3*o + 3*k - 3 = 3. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26211576 to the nearest integer?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-2)\/27)*12\/22*1823\/(-16407).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3*t + 4*f - 3 = 0, 0 = -4*t + 4*f + 12. What is g in -15*g**t - 11*g**4 - 28*g**4 - 27*g**3 + 3*g**2 + 0*g**2 + 6*g = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -1.486.\nAnswer: 2.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -35*j + 13. Let u be z(-6). Which is greater: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67361 (base 16) to base 14\nAnswer: -b00c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) 2\/11  (c) 0.3  (d) 11  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 63\/13  (b) -2\/3  (c) 0.1  (d) 24.52  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3076921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k + 2. Let j(x) = -7*x - 5. Let r(s) = -11*f(s) - 4*j(s). Calculate the remainder when 28 is divided by r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 - 6*n + 10. Let w = -43 - -48. Let s be j(w). Solve -s*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2)\/(2\/12) - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - (45 + -63)) + 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in 3, -0.13, 32, 26, -2\/11?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = 3*r + 3*z, -r + 65*z + 40 = 64*z. What is the smallest common multiple of r and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 46 + -102. Let h = -38 - j. Solve 5*s = -w - h, 2*w = -s - 0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1323, -6221, -19491, -45309, -87851?\nAnswer: -151293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 3*p**2 + p - 1. Let j(g) = 6*g**2 + 3*g - 3. Suppose -6 = 35*c - 41*c. Let d(y) = c*j(y) - 3*k(y). What is d(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v**3 + 5*v**3 + v**3 - 2143*v**2 + 2143*v**2 - 43*v**3 + v**3 + 0*v**3 + v**3 + (0 - 3 + 2)*(v**3 - 3*v**3 + 3*v**3).\nAnswer: -39*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5\/4, 1\/3, -3, -1\/6, 739, -0.6, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28\/9 + -1033\/333. What is the third smallest value in h, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 243 = -6*s + 1257. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2715.\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 439, 3\/7, -0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 0*m + 15 = -g, 4*m + 27 = g. Let x(i) = -i**2 - 9*i - 8. Give x(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(441)*-2*5*-1)\/(-4*-6*sqrt(14)\/sqrt(2)).\nAnswer: -1 + 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 9:07 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*p - 1554 + 1554.\nAnswer: 93*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(((sqrt(128) + -1)*-6 - (5 + 2*sqrt(128))) + 4) + 2)**2.\nAnswer: -384*sqrt(2) + 8201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gpgogoowogggwg. Give prob of sequence wogw.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2465*p + 2411*p - 140*p.\nAnswer: -194*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cheddddceeocceee. Give prob of sequence doc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/45 and -83\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**3 + 40*b**2 + 2*b - 30. Let s be d(20). Let q be (-1 - (-3 + 20\/8))*6. What is the tens digit of 173 + q*s\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 26 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 20 - 32. Suppose 107*b - 102*b - 3*j = 199, -5*j = -2*b + 72. Calculate the remainder when b is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b**2 + 3. Let t(r) = 1939*r**2 - 25. Give t(n) + 9*y(n).\nAnswer: 1957*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.05 - 2.05. Let s = -51221.00007 + 51223. Let x = j + s. Round x to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*d - d**2 + 23*d - 62*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g + g - 3*g + (-g + 0*g + 0*g)*(2 + 0 - 3) - 42*g + 0*g + 8*g + (-2*g + 2*g - g)*(-2 - 2 + 1).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*q = 10*q - 125892. Let i be 1 + (-13)\/15 - q\/270. Calculate the highest common divisor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7106 greater than or equal to 123\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 2768267.\nAnswer: -8304801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 5*i - 5*l - 11, 0 = -5*i - 2*l + 1. Let t be ((-3 - -1) + i)*-120. Suppose -24*p - t = -18*p. Which is bigger: p or -85\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -203 - -204. Let o(k) be the third derivative of 7*k**4\/24 - 5*k**3\/6 - 5*k**2. Let z(r) = -r + 1. What is h*o(f) + 6*z(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.3 + -0.3. Which is the nearest to r?  (a) -2\/11  (b) 2  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*u - 6. Suppose 127 = 4*z + 119. Let h(l) = -7*l**z + 5*l - 20*l + 0*l**2 + 21*l + 3 + l**3. Give h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**3 - 2*q**3 + 2*q**5)*(1 + 0 + 2) + (1 + 2*q**2 - 1)*(0*q**2 - 2*q**3 + 0*q**2) - q**4 + q**4 - q**5 - 99 + 99 + 4*q**5.\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -131310200 (base 4) in base 7?\nAnswer: -1016051","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1747547415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28)\/99)\/((-107)\/1177*2)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of -3*h**5\/4 - 35*h**4\/6 - 50*h**3\/3 + 8*h**2. Let q(n) = 0. What is n?\nAnswer: -2, -10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 28*k**2 + 5*k + 2. Let b(s) = -83*s**2 - 13*s - 6. What is -3*b(n) - 8*o(n)?\nAnswer: 25*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 123056128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-34) + (-5740)\/(-340) + -17. Solve 0 = 2*s + 3*l - d + 4, 3*s + 3*l = -9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of r**5\/20 + r**4\/3 - r**3\/3 - r**2\/2 - r. Suppose -2*m + 7 = 15. What are the prime factors of h(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -153591\/104 + 11859\/8. Factor -24\/13*c + m + 2\/13*c**2.\nAnswer: 2*(c - 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0688295 - -0.631171. Let y = -0.85 + 0.15. Let c = i + y. What is c rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.88 - -0.08. Let q = -0.1 + -4.7. Let r = u - q. Which is the second smallest value?  (a) -0.5  (b) r  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 10 = -r. Let w be (10\/35)\/(r\/(-14)). Solve -6*u - w*x = -u + 26, 0 = -3*u - 4*x - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 14. Suppose -5*c = -5*h + 15, -2*h - 3*c - 8 = y*c. Sort h, 3, 2.\nAnswer: h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6392 or 6418?\nAnswer: 6418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68, 71, 76, 83, 92?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -3.1. Let x = 23 + -8. Suppose 5*h = -0*h + x. Sort -0.4, l, h in ascending order.\nAnswer: -0.4, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -264\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/12 + 13\/78?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, t: 2, z: 6, x: 3, p: 2}. Give prob of sequence ktpp.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -11*v + 206. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -154843\/92366750 + -2\/52781. Let b be 59599\/57750 + (-2)\/(-3). Let z = b + j. Calculate the common denominator of 16\/9 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 - 1825\/(-100))\/((-25)\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2)*f*f)\/f*f)**(-7\/8)\/(f**(-1\/7)*f**7\/f)*(f**(-1\/3))**(-4\/19)*(f**(1\/3))**19 assuming f is positive.\nAnswer: f**(218\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 14*o - 10*o + 4.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*x = 36*x, -2*x + 24 = -3*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -0.2, 21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -133.58.\nAnswer: 26.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (-16 + (-10 - -7)) - (17 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8.4 - 1.4. Let y = 18154 - 18146.9932. Let u = r - y. Round u to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.09 and 5600669530086.\nAnswer: 5600669530085.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(832\/32*3\/(-6))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 7:32 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 + 39657*y**2 + 39660*y.\nAnswer: -3*y*(y - 13220)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of -3*b**4\/2 + 7*b**3\/3 - 5*b**2\/2 + 7*b - 2527. Let v(l) = -3*l**3 + 4*l**2 - 3*l + 4. Determine 4*f(i) - 7*v(i).\nAnswer: -3*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 33564637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1925, 7703, 17305, 30707, 47885, 68815?\n\"Answer: -4*q**3 + 1936*q**2 - 2*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -0.4, 10.6, 2\/5, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 2*w + 536. Suppose -2*l = -f - 26, 4*f - 3*l + w = 45. Let d = f - -38. What is the remainder when 87 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lljhljjlh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 divided by -887.\nAnswer: -12\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 162 + -137. Calculate the greatest common factor of f and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -3933\nAnswer: -3935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 2, 4, 11.7, 2.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 2 + (sqrt(153)*-1 - sqrt(153))\/sqrt(9) + -1 + sqrt(1088) + (sqrt(51) + sqrt(1836) + 2*sqrt(1836))\/(sqrt(30)\/sqrt(40)).\nAnswer: 2 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 7*y**2. Let r(s) = 48*s**2. Let k(p) = 15*l(p) - 2*r(p). Let f(i) = 98*i**2. Give f(k(t)).\nAnswer: 7938*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or 320124?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5 - 5*j**2 + 50*j - 9109*j**3 + 4484*j**3 + 4538*j**3 wrt j.\nAnswer: -522*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*w**4 + 1\/4*w**5 + 0 + 0*w + 0*w**3 + 0*w**2.\nAnswer: w**4*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 - 36 = 4*x. Suppose -x*o + 9 = 24. Sort -9, -5, o in ascending order.\nAnswer: -9, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 2 = -f. Suppose 3*h - 4 = -2*o, -2 - 1 = 3*o. Is (-108 + h)\/(f + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4042*j + 2309*j + 2578*j + j - 4*j + j + (-3 + 1 + 1)*(4*j - 3*j - 2*j) - 3 + 3 + 2*j - 21 + 21 + 5*j as l*j + p and give l.\nAnswer: 851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -488  (b) 4  (c) -0.4  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 232, 196, 3 in decreasing order.\nAnswer: 232, 196, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.32246 and -0.37.\nAnswer: -0.1193102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - s**4 + 2*s**4 - 3*s**4 + 3*s**4 + (s**4 - 3 + 3)*(-1 + 3 + 1) + 709*s**3 - 424*s**3 + s**4 - 480*s**3.\nAnswer: 5*s**4 - 195*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 2*t - 1430. Suppose 290*x = t*x. Let f(p) = p**2 - p - 38. Calculate f(x).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*y + 147 = 114 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 772 - 1492288049.\nAnswer: -1492287277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-15\/2)\/(u**9\/u))**(-37) assuming u is positive.\nAnswer: u**(1147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of 43*s**4\/12 + s**3\/2 + 58*s**2. Let y be 0 - (1 + 3)*-1. Is w(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.5 + -0.5. Let y = -4.9 + 1.3. Let c = 0.6 + y. Sort 2\/13, q, c in increasing order.\nAnswer: q, c, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -287*m = -293*m + 696. Which is the second smallest value?  (a) 3  (b) 5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(7) + 2 - -1*sqrt(63).\nAnswer: 1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7984 and -0.042?\nAnswer: 335.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3957 is divided by 1319.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-250)\/(-15))\/(2\/3). Let q be ((-1)\/(-5))\/((-2)\/(-30) + (-1694)\/28875). What is the highest common factor of k and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 - 31. Let i be 384\/15 - (-6)\/y. Suppose -l + 2 = -i. Solve 7 = s + 4*n, 2*s - 2*n - 11 = -l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 610, 0 in decreasing order.\nAnswer: 610, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*h + 343 - 3250. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62 - 60 - 7*o**3 + 180 - 58.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -328000 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -29.4 times -48.8\nAnswer: 1434.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of y**6\/60 - y**5\/15 - y**2\/2 - 2. Let p(c) be the second derivative of z(c). What is the third derivative of p(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 - 4*r + 3. Let j(b) = b**2 - 11*b + 13. Let h(o) = o**3 + 5*o**2 + 4*o + 3. Let a be h(-3). Let m be j(a). List the prime factors of g(m).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 4770 - b - 4874 - b. Let y(n) = -3*n - 206. Let l(u) = -4*y(u) + 9*z(u). What is the derivative of l(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2 = n - 0, 5*n = 3*r + 26. Suppose 0 = -2*j + v + 3, -2*j + 3*v = n - 5. Differentiate -2*i - 8 - 29*i**2 + 43*i**2 + j*i with respect to i.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/1855 and 191\/210?\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 6:54 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**2 + 5*u + 5. Let s(b) = b**2 - 8*b + 2. Let a be s(8). Let t = 7 - a. Let c(m) = m**2 - 2*m - 2. Give t*c(h) + 2*f(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 6*a + 29 = -5*z, 33 = -3*a - 5*z. Do -2\/28737 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5135 is divided by 106.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8405 - 8591. Is t less than or equal to -186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -3*o + 132, 152*k - 156*k + 146 = -2*o. What is the remainder when 90 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 5*o = -4*y + 4, 2*o + 5*y - 5 = 0. Solve -2*q = -4*f + 14, o = -4*q + 3*f - 25 + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g + 13 + 1, -3*b - 26 = 4*g. Let r(z) = -z**2 + 10*z + 23. Give r(b).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 2) + 2 - -1. Let j(h) = -k*h + 4*h**3 + 4*h**3 + 4*h - h**2. Suppose 2*c + 15 = 17. Calculate j(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 5, s: 1, w: 3}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**2 + 84 - p**2 - 310 + 226.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 137*((-4)\/2 - -3). What is h rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -73547*n**3 - 34*n**2 + 119*n - 21256 wrt n?\nAnswer: -441282*n - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 3*o + 13. Let y(c) = -c**3 + c**2 - c. Let k(a) = -q(a) - 6*y(a). Let s(m) = 3*m**3 - 3*m**2 + 4*m - 6. Calculate -4*k(p) + 9*s(p).\nAnswer: 3*p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4665739\/6 bigger than 777622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 448.\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -1. Suppose 0*m = 2*m + 2. Let t(z) = 14*z + 22. Let p(y) = y + 2. Let w(d) = -12*p(d) + t(d). What is m*w(q) + 3*u(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 4*d + 5. Let t be v(6). Let u = t + -17. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -616 + 934. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*f - 32 = 0, 3*x - 12 + 0 = -3*f. Suppose -p + x = 3*p. What is the closest to 1 in p, -5, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9729 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -78 + 162. Suppose 2*q + 118 = 3*b, 2*b + 0*q - l = 4*q. Let u = 56 - b. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 76 + -63. Let a be c - 12 - (0 + 7). Let f be (75\/a)\/5*(-12 - -4). Solve -5*y - 4*h - 16 = 0, -3*y - 5*h - f = -6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c6a1 + 1?\nAnswer: c6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -60*b + 685. Determine a(10).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 671312 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -4. Let f = w + -1. Suppose 0 = 4*z + z - 125. What is the remainder when z is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2225 is divided by 198.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 949 less than or equal to 946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**0\/((f\/(((f*(f*f**2)\/f)\/f*f)\/f))\/f*f))\/((f\/f**(-1\/4)*f)\/(f\/(f\/f**7))))**(-23) assuming f is positive.\nAnswer: f**(-529\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3278 + 3386. Solve 24*v + l = -12*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58490264?\nAnswer: 2, 7, 229, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26567 + -26566.9969008. What is q rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 834372.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 5*q**2 + 9*q + 18. Let f be i(-6). Suppose f = -2*g - 4*d - 8, -3*g + 2*d - 11 = -39. Solve y + 5*b = -0*b + g, 4*b = 4*y + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 48*h**2 - 36*h + 59. What are the prime factors of d(10)?\nAnswer: 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.277434 to 4 decimal places.\nAnswer: -0.2774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12901 + 3240 + 3213 + 3*g**3 + 3224 + 3224.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(77)\/sqrt(28).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/19, 0.34, 0.1, -3\/2 in decreasing order.\nAnswer: 0.34, 0.1, -2\/19, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -102472, -204926, -307380, -409834, -512288, -614742?\n\"Answer: -102454*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4*l + 2 = -1, -l = 3*p - 35. What is the highest common factor of p and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*((3 - 7 + 3)*(-3*u + 3*u - u) + (2*u + u - 5*u)*(2 - 5 + 4)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2274.532 millimeters to kilometers.\nAnswer: 0.002274532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - g = -226, -2*g - 156 + 48 = -2*v. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 + -19. Let g = -69.2 + 64. Let n = -5 - g. Put 0.4, z, n in decreasing order.\nAnswer: 0.4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2230 - -100?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6440*z + 9306*z - 976354 = -16644*z + 603956 for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 62214 and 5194869?\nAnswer: 10389738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 38089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 46 - 14 = 0. Suppose 16 = 4*d - f. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102033100 (base 4) to base 13\nAnswer: -28006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -14553*b - 232866. Give h(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - 53) + 16 + -1 + 4 + -3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 - 3*o + 6. Let l be g(-5). Let p be (-10)\/7 - (-6 - l). Sort -3, p, 5 in descending order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 3*i - 100*i**2 + 3*i**3 + 3*i + 177*i**2 - 86*i**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24830 and 5256511?\nAnswer: 52565110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347226 is divided by 341571?\nAnswer: 5655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4*w - w - 4*w + w**3 - w**2 - 1. Suppose -4*h + 2*z + 30 = 0, 0*h - 2*z = h. Suppose 7*k = 8 + h. What is r(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (((-32)\/12)\/4)\/(2\/21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49*z**3 - 57*z**3 + 207*z**3)*(-4 + 3 - 1)*(3 + 1 - 2) + 2*z**3 - z**3 - 3*z**3.\nAnswer: -406*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + -2. Let w be p + 2\/(-4)*2. Find the third derivative of -5*c**2 - w*c**5 + 6*c**2 - c**5 + c**2 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -6*u**2 - 17*u - 17. Let w(d) = -2*d**2 - 6*d - 6. Let j be -21*(-6)\/(-9) - 3. Let l(r) = j*w(r) + 6*q(r). Let s(p) = 14*p. Determine l(s(o)).\nAnswer: -392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(0 + (sqrt(11) + -1 + -5 - sqrt(11)))**2 - (1*sqrt(11) + 0 + (sqrt(1584) + sqrt(1584)*-3)**2).\nAnswer: -6264 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/7 + 2 + (-148)\/28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 287 = 61*k - 20*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 2.4, 1.2, -1\/6, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 126602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q\/q**(1\/16)*q*q)\/q**(8\/9))\/(q\/(q\/(q*q*q\/q**(-5))*q))**(-31\/3) assuming q is positive.\nAnswer: q**(10999\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1917*d*w + 6*d - 18 wrt w.\nAnswer: -1917*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**3*h*h*h**(5\/4)*h\/h**1*h*h\/h**0*h*h)\/((h**(2\/7)\/h)**(-1\/20)*((h\/h**0)\/h)**(26\/3)) assuming h is positive.\nAnswer: h**(143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 565 - 564.8. Put u, -20, 1\/2 in increasing order.\nAnswer: -20, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*r + 20*r - 5*v + 398, -2*r - 7*v + 402 = 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: b\"What is the th term of -1343, -2660, -3979, -5300, -6623?\n\"Answer: -b**2 - 1314*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) 0.3  (c) 3\/7  (d) 3\/4  (e) -0.5  (f) -11  (g) -762\/133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05251 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 872, 1847, 2816, 3779, 4736, 5687?\nAnswer: 6632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 128075 and 268685.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 48372657*g**5 + 80966418*g wrt g?\nAnswer: 967453140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3*((sqrt(180) - (sqrt(180) + 1) - sqrt(180)) + 4 - (sqrt(180) - (sqrt(180) + 1))*6)*1*-2)**2.\nAnswer: -11664*sqrt(5) + 28188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1423343230 (base 5) to base 14\nAnswer: -6d1a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1680 by -280.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -0*x + b + 6323, -4*x - 5*b + 12625 = 0. What is the smallest common multiple of 474 and x?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-3 + (0 - -4)). Let n = 0 + -2. Is q less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from awrararhorgraww. What is prob of picking 1 w, 1 g, and 1 o?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5639.11 millilitres?\nAnswer: 5.63911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -0*k - 22. Let d = 7 - k. Let s be ((-2)\/(-10))\/(d\/10). What is the smallest value in 5, 1\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -226.16 - 4.84. Let j = w - -231.366. Round j to two dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22444422022 + -4?\nAnswer: -22444422031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m. Let i(f) = -3*f + 16. Let a(u) = i(u) + 4*l(u). Suppose -340 + 132 = -13*s. Calculate the remainder when 191 is divided by a(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25.95861 + -0.03\nAnswer: -25.98861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = 30*n - 7*n. Put -11, n, 2 in descending order.\nAnswer: 2, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of -9*x**7\/7 + x**6\/15 + 3*x**3\/2 - 3*x**2\/2 - 43*x - 2. What is the second derivative of w(q) wrt q?\nAnswer: -1080*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1170 - -9313\/8. Calculate the common denominator of -38\/11 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8*(-27)\/(-72))\/(308\/231)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 30200167 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of 2*l**3\/3 + l**2\/2 + 46*l + 3. Let j(o) = o. Give 9*j(p) - 2*t(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14.54 - -54.16. Round g to the nearest integer.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((95\/1)\/(-19))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 553662?\nAnswer: 2, 3, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -11*q - 29. Calculate the lowest common multiple of 18 and d(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 367921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -6, -3, -5, 249, 21.\nAnswer: -6, -5, -3, -1, 1, 21, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c - 5. Let f be i(-4). Let a be 28*f*(-4)\/(-24). Suppose 0 = -a*u + 19*u - 200. Calculate the highest common divisor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17.547 - -17.54701625. Round y to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8c78e (base 15) to base 12.\nAnswer: 196975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5*s + 795 = 750, -2*s = 2*q. Solve 3*u + 37 = q*m, 3*u + 7*m = 2*m + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 78746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41 - (112 - (56 + -17)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*k + 45 - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 20 = 0, 44*t = p + 48*t - 23. Let z be ((-1)\/3)\/(4\/8). Which is the closest to z?  (a) 1  (b) -2\/9  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {l: 2, e: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**5*j**(-5\/2))**(3\/23) assuming j is positive.\nAnswer: j**(15\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 4*b**2 + 5*b - 1. Let d be h(2). Let o be -39 - d*1\/1. Let m = o - -46. Solve -3*g = -m*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41 - 38. Solve d - 10 = -3*y, 4*y - 5 = -6*d + k*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 times -0.4567?\nAnswer: -0.009134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 137 = -3*b - 3*m - 103, -5*b - 424 = -m. Let v be 12\/b - 1276\/(-14). Let f = -57 + v. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 6*q + 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 2*j**2 - 6 + 3*j - 4*j**2 + 3*j. Let i be d(6). List the prime factors of (-3)\/(i\/(-8))*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/18729 and -97\/324636.\nAnswer: 973908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 7.75. Let z = -5768\/14395 - -2\/2879. What is the nearest to z in s, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8a515 (base 16) in base 7?\nAnswer: -4546514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 177.7*0.5.\nAnswer: 88.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9072 is divided by 232?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 240 divide 2012610897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, 11, 52, 87, 116, 139?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 943447309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 - 18*w - 84. Give o(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 3 - 3 + 2*w. Suppose 4*v - 7 = 17. Calculate the remainder when 35 is divided by g(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 13 = -2*l, -l + 5*p + 0 = -9. Let c(k) = -4 - 2*k**3 + 7*k**3 + 3*k**3. Let j(t) = -t**3 + 1. What is l*j(x) + c(x)?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1*sqrt(432))**2 + (sqrt(432) + (sqrt(432) - (-2 + sqrt(432))) + 5)**2 + 3*(sqrt(432) + (sqrt(432) + 0)**2) + (1 + sqrt(432)*1)**2 + 1 + 0.\nAnswer: 228*sqrt(3) + 2641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26175*h**2 + 0*h + 0*h - 26176*h**2 + 52342*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwz when three letters picked without replacement from {m: 4, l: 1, o: 1, r: 1, z: 2, w: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 826531 is divided by 21188.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4306495 + -3?\nAnswer: -4306498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 - (-124)\/8)*6. Let u be (4\/(-5))\/((-6)\/w). Let i be (-12)\/(-30) + 66\/u. What is the highest common factor of i and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 - -6. Let a(m) = m**2 + 14*m + 9. What is the remainder when 70 is divided by a(j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 491*i**3 - 111*i**3 + 384*i**3.\nAnswer: 764*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, j: 1, k: 4, z: 3}. Give prob of sequence kjzk.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 2*s**2 + 2*s**2 + 3 - 2*s**4 + 4*s**2 as p*s + f*s**2 + y*s**4 + u*s**3 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(3 + 2*1*sqrt(720)*-2 + 4))**2.\nAnswer: -16800*sqrt(5) + 289225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6636 and 1896.\nAnswer: 13272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 31 = -2*y + 5*t, 3*t = -15. Let o = y + 12. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 122*p + 1921. What is the thousands digit of k(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/60690 and -67\/546210.\nAnswer: 546210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*q + 9 + 26. Suppose 2*f = -f + 2*h - 11, -q*f - 5*h + 15 = 0. Is (-25)\/(-15)*1\/(f\/(-30)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.11 + -0.11. Let r = x - 10. Let h = -3324 - -3319. What is the second biggest value in r, h, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -270400\/759 or -355?\nAnswer: -355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2\/4 + 19467*c\/2 + 126321363\/4.\nAnswer: 3*(c + 6489)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-7))\/(9\/27).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + ((-12)\/(-3) - (1 - 2)). Suppose 5*s + 20 = x*f, 0 = 3*f + 12*s - 9*s - 24. Differentiate -12*b**3 + 12*b**3 + 20*b**3 + f with respect to b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*(20\/28)\/((-40)\/(-8))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 119751 and 6.\nAnswer: 239502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 2:06 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 12 = 0, -r = -2*c + 6*c - 20. Let y(f) = -c*f**2 + 0*f**3 - 4*f - 2 + 8 - f**3. Let l be (-1)\/((2\/(-10))\/(-1)). Give y(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of l**6\/15 + l**5\/2 - 131*l**4\/24 + 19*l**3\/2 - 27*l**2\/4 - 343*l - 1. Factor u(s).\nAnswer: (s - 3)*(s + 9)*(2*s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x + 2. Let i(j) = -9*j - 7. What is 6*i(l) + 22*t(l)?\nAnswer: -10*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.176 - -0.1760079. What is q rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-45) + 0\/(-2*1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(405) + 2 - sqrt(405)) + -4 + sqrt(405) + 5)**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 2*d**2 + 3*d + 4. Let b be u(-4). Let y be (3\/2)\/(b\/32). Let v(m) = -m**3 - m. Let f be v(-1). Solve y = -f*w - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 17a - 15c3?\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5*(1 + -2 + 2). Suppose -10 = 5*z + 5*y, -3*z - 2*y - 8 = 2*y. Suppose u + z*j = -j + 5, -d*u = -3*j - 33. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32578 + 5034 = 626*m for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 454*m**2. Let g(s) = 11155*s**2. Calculate q(g(h)).\nAnswer: 56493047350*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(475)*1.\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 - 335 = 5*r. Let w = -51 - r. Suppose 5*q - 68 - w = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 - -283. List the prime factors of x.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10147\/169 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 14*n + 2. Let z be -9*3\/(-18)*-6. Let l be (z + -1)*2\/(-5). What are the prime factors of v(l)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 - 9*q - 3. Let i be h(-6). Let v be i\/4 - (-2)\/8. Let b = v + -3. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 102  (b) 61  (c) 92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -19\/3. Let p be (-28)\/21*3\/(-4). Suppose -6 = -4*x + 3*t + p, 2*x = 5*t - 7. What is the third biggest value in z, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/42 and 20\/110229.\nAnswer: 220458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -54541400 != -54541398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 5*x = 7. Suppose 2*b - 5 = -4*w - 3, -3*b - w - 2 = 0. Let d be (-7)\/(-2)*120\/105. Sort 2, b, x, d in descending order.\nAnswer: d, 2, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 5:04 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 28*j + 892. Let z be c(-32). Let u(t) = -t**2 + t + 1. Let y(x) = -x**3 + 2*x**2 - 2*x - 2. Let o(l) = -5*u(l) - y(l). What is o(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 274*k**2 + 2*k + 2. Let x be d(-1). Suppose 0*f + 3*y = -f + x, -3*f = -y - 842. Suppose 4*i = -28 + f. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.85313 rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 195 + -112. Let k = -82.7 + u. Which is the second biggest value?  (a) -1  (b) -3  (c) -0.4  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 times 0.578051?\nAnswer: 31.214754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.9822 - 4.977. Let r = 0.2822 - h. What is r rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 4*j + j. Suppose -5*q - 2*k = -59 + 4, 2*q + 4*k - 38 = 0. Let f = q + j. Sort 5, 2, f in descending order.\nAnswer: 5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 - -68. Let o = -40.9 + f. Let n = o - 0.1. Which is the biggest value?  (a) -0.1  (b) n  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*g + 4*i, -3*i - 24 = -3*g - 6*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 6:29 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30601271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 1092 divide 894283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*c**2 + 104609*c - 915924 wrt c?\nAnswer: -12*c + 104609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = q - 41703, 12 = -3*q + 7*q. What is u rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -422 + 424. Let v = -0.36 - -0.06. Which is the closest to 0.2?  (a) v  (b) 0  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i**2 + 2*i + 34. Let m be a(-21). Suppose 2*t - m = -3*g, -g - t + 369 = 76. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, x: 2, s: 1, u: 2, l: 2, b: 1}. Give prob of picking 1 r and 1 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 6250873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2 + 262*w + 8316.\nAnswer: 2*(w + 54)*(w + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 11100110110001011 (base 2) to base 11\nAnswer: 80854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 3523*j**2 - 3527*j**2 - 4.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 676 - 534. Is v a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 - 2*o + 1. Let d be g(3). Let u(c) = -4*c - 15 + d - 2. Let s be u(-4). Solve -b = -s*h - 19, -h = -2*b - 2 + 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1230906 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -2*d + 35, -2*d = -3*w - 2. Let h(f) be the third derivative of 0*f - 205\/24*f**w + 5*f**3 + 13\/12*f**5 + 27*f**2 + 0. Solve h(z) = 0.\nAnswer: 2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1009000 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - q**3 + q + 5*q**3 - 2*q**3 in the form o*q + t + l*q**3 + m*q**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3272.7 - 3273.5. Let t = -5.9 - -6. Which is the nearest to t?  (a) 3  (b) 2\/7  (c) v  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 9:35 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26486 is divided by 6592.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kwkcbbxcbkbbbkkrck. What is prob of picking 1 w and 2 b?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/5)\/((-3)\/10). Let k(t) = -z*t**2 + t**3 + 6*t**2 + 3 - 4*t - 2*t**2. List the prime factors of k(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*5 - (13\/((-13)\/(-15)))\/3. Solve -11 = -3*a + 4*v, q = -5*a - 0*a + v + 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.008, 2\/11, -14, -0.085 in descending order.\nAnswer: 2\/11, -0.008, -0.085, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2833496\/41 - -69113. Which is bigger: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 22\/2 - (-2 + 1). Let o = a + -8. Let m(u) = 2*u**2 - 8*u + 12. What is the remainder when m(3) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 773930 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31 - 35. Suppose 0 = -5*z - 2*a + 18, 0 = z + a - 6*a + 18. Sort 1, 3, k, z.\nAnswer: k, 1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -6 - 0. Let o be 3*12606\/180 + 2\/(-20). Let g = o - 204. What is the least common multiple of g and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2 + p - 6. Let u = 3385 + -3380. Let x(t) = -2*t**2 - 3. Determine u*x(h) - 2*c(h).\nAnswer: -4*h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.059 != -21927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-40))\/(-5 - 115\/(-20))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 25*d - 5. Is 13 a factor of p(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.02 - -0.38. Let m = -1573 + 2403. Let x be (-1577)\/m + (-2)\/(-5). What is the second biggest value in 9\/7, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -42461*m**3 - 46139 wrt m?\nAnswer: -127383*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5*p - 4. Let d be t(-3). Let i = d + -3. Suppose 3*j = j + n + 48, i = -2*n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 176 + -110. Let x = 66 - f. What is the nearest to x in -2, 3\/38, 2\/7?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 0*r - 3*r - 3 + 5*r + 3*r. Let i be z(2). Suppose -6*d + i*d - 331 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(1\/24)*((b*b\/b**6)\/b)\/b assuming b is positive.\nAnswer: b**(-143\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of -243*h**5\/20 + 356*h**3\/3 + 13*h + 55. Find the second derivative of g(i) wrt i.\nAnswer: -1458*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -384*n - 1845. Let q be b(-5). What is the highest common factor of 1545 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 406483201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 - 179. Let r = -2 - t. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2874, -5749, -8620, -11487, -14350, -17209, -20064?\n\"Answer: 2*x**2 - 2881*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -7*k**2 + 11*k - 5. Let y(o) = -4*o**2 + 6*o - 3. Determine 3*r(j) - 5*y(j).\nAnswer: -j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + (2\/2)\/(1\/(-2701937)). Suppose 24*t - 23*t = 4891940. Let y = t + p. Round y to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of -5\/96*x**4 - 1\/24*x**3 + x**2 + 0 - 7\/240*x**5 + 0*x - 1\/160*x**6. What is m in t(m) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**43*f\/(f*f**(13\/3)\/f*f) assuming f is positive.\nAnswer: f**(-139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/5 - 183\/270. Let q = v - 2\/9. Suppose -10 = o - 3*u, 7704*o - 7707*o - 3*u = -30. Which is the second biggest value?  (a) q  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 121*n - 9*n - 13876 + 4692 for n.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)*6 - sqrt(17))*-3.\nAnswer: -33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 + 3*d**2 + d + 4. Let z = 20 + -11. Calculate the remainder when z is divided by c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42712760.\nAnswer: 2, 5, 19, 43, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/10)\/((-10)\/(-5)). Is c > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 914108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 17, 11, 3, -7, -19, -33?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -183953073*p**2*t**3 - p**2*t + 41649*p**2 - 473*t**2 + 1 wrt t?\nAnswer: -1103718438*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -96 + 268. Suppose -2*t + d - 84 = 0, -5*d = -2*d. Let g = j + t. Solve g = 4*h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 319 - 104. Suppose 112 = 3*i - f. Let z = 219\/2 - i. Sort -2\/27, z, -1 in descending order.\nAnswer: z, -2\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 51572 - 51570. Solve 50\/3*y**5 + 0*y**4 - 16\/3 - 158\/3*y**3 + 100\/3*y**s + 8*y = 0.\nAnswer: -2, -2\/5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58305.\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -15020.3546 rounded to the nearest ten?\nAnswer: -15020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3558, 7162, 10766?\n\"Answer: 3604*o - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202949 is divided by 67640?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 15*r**2 + 2*r - 2. Let o(q) = q**2 - 7*q - 10. Let t be o(8). What is d(t)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 6:31 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -44*o - 264. Let a be b(-6). Solve 18*s + a*s = -54 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3847041 - 5318.\nAnswer: 3841723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(343) - (sqrt(7) + sqrt(63)*3)**2 - (sqrt(168)\/sqrt(4)*-3)\/(4*sqrt(18)\/sqrt(3)).\nAnswer: -703 + 31*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a - 697 = -886 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*s**2 + 36*s + 32*s - 125 - 4*s - 66*s to l*s + d*s**2 + g and give g.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d + 59. Let w be q(-8). Let j = w - 86. Let u be j - 91*(3\/3 - 2). Calculate the greatest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/68 and -89\/512414.\nAnswer: 1024828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7494120 divided by 1285?\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/7665 and 87\/730?\nAnswer: 15330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - o - 5 = 0, -f = -3*o - 10. Suppose 41*g - 18*g = f*g. Which is bigger: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 - 1 + 1. Let t(z) be the second derivative of 0*z**3 - 4*z + 1\/12*z**4 + 0*z**2 + 0. Calculate t(b(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -25612 (base 8) in base 6?\nAnswer: -123334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -310*n**3*x - n**3 - 552*n**2 + n*x with respect to x.\nAnswer: -310*n**3 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 e when four letters picked without replacement from {j: 2, e: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -6 + (0 - (-8 - 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 482 + 1599. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 18 = n, -4*n - f = 3*f + 72. Let l(p) = -p**3 - 17*p**2 + 20*p + 35. Let u be l(n). What is the nearest to -1\/16 in 1, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 18, -0.2, -1, -4, 12330, -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of 5*i**3\/2 - i**2\/2 - 28*i + 43. Let w(m) be the first derivative of p(m). Determine w(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3283786 and 17226?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 7*k + 2. Let f(d) = -75*d - 191. What is t(f(b))?\nAnswer: -525*b - 1335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 - 9*o + 7. Let t be w(6). Let l = t - -9. Let k(z) = -4*z + 2. Determine k(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 5 + (-2*(-1 + sqrt(200))*-1 - 2*sqrt(200)*1*-6))**2.\nAnswer: 1400*sqrt(2) + 39225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -7*u - 3. Let a(h) = 13 + 6*h + 5*h + 18*h. Let l(f) = 2*a(f) + 9*o(f). Suppose 3*n - m + 10 = -n, 5*m = -10. Calculate l(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 0)*(6*f**4 + 8*f**3 - 8*f**3) + (-3*f**2 + 4*f**2 + 0*f**2)*(-14*f**2 - 19*f**2 + 32*f**2).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 26 = -0*t + 2*t, 2*d - 5*t = 12. Let q = d - 9. Solve -b - 4*b + 3*a = 21, 3*b + 13 = q*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 5:47 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*q - 27134 + 29145 = -83679. List the prime factors of q.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the third derivative of -d**8\/336 - d**7\/70 - d**6\/120 + d**5\/20 + d**4\/12 + 7*d**2. Factor l(j).\nAnswer: -j*(j - 1)*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*f**5\/5 + 12*f**4\/5 - f**3\/5 - 12*f**2\/5 - 4*f\/5 = 0. Calculate f.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*r - 17. Suppose -5*z + r*a + 3 = -22, 5*z = -2*a - 10. Suppose z = 3*u + 3*b + 207, -b - 276 = 4*u - 4*b. What is u rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/(-8)*(-1224)\/765?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + 3*i**2 + 2*i - 2. Let j be v(2). Let u = -1 - -5. Let h be ((-7)\/(-2))\/(u\/8). Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35 - 29. Let t be 1*8 - -4*(i - 7). Solve -5*b = -2*x + 4*x, 0 = t*b - x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -44 + 47. Let o(i) be the second derivative of i + 0 + 0*i**5 + 0*i**s - 2\/15*i**6 + 0*i**4 + 2*i**2. Differentiate o(q) with respect to q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 230, 761, 1654, 2909, 4526?\nAnswer: 6505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1858679479828 and -0.36.\nAnswer: 1858679479827.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -350*y**5 - 30*y**3 + 9261*y**2 - 510073146*y wrt y?\nAnswer: -7000*y**3 - 180*y + 18522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 735550, 735532, 735512, 735490?\nAnswer: 735466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 215558 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(5) + (sqrt(5) - sqrt(20)\/(-4*sqrt(4))) - (3 + sqrt(5) + 3)) + ((sqrt(100) - (sqrt(100) - -5*-5*sqrt(100))) + sqrt(100))\/sqrt(5).\nAnswer: -7 + 213*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.04565  (b) -0.4  (c) 0.0015  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -4  (b) -2  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 8) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17428 - -17414. Let a = 3166\/159 + -66\/53. Let d = a - 451\/24. Put v, 3, 0.5, d in descending order.\nAnswer: 3, 0.5, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2*o. Let d(w) = -3 + 3 - w**2 + 4940*w - 4707*w + 2*w**2. What is d(r(t))?\nAnswer: 4*t**2 - 466*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -2 + ((sqrt(300) - (sqrt(300) + sqrt(300) + 0 + sqrt(300))) + 4 - (sqrt(300) - (-3 + sqrt(300)*-2 - sqrt(300) - sqrt(300))))**2 + -3 + -3.\nAnswer: -140*sqrt(3) + 14691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-12)*-10*8\/(-10). Differentiate 19*n**4 - 32*n**4 + 14*n**4 - j with respect to n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 AM and 3:08 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-6) + 1135\/30. Let a = y - 29. Calculate the remainder when 87 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 529 - -477. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66713 is divided by 240?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 61900 + -0.158523.\nAnswer: 61899.841477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f + 31. Suppose 40 - 62 = -2*t. Let j be r(t). Suppose 9*v = j + 18. Solve 2*d - 3 = 3*s, v*s + 3 = -4*d + 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.15, -2\/9, 5, -42, -0.05, 1\/6 in decreasing order.\nAnswer: 5, 1\/6, 0.15, -0.05, -2\/9, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -9, 14, 73, 186, 371, 646, 1029, 1538?\n\"Answer: 3*w**3 + 2*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of i**6\/160 + 17*i**5\/160 + i**4\/2 + 3*i**3\/4 - 13*i**2 - 9*i. Solve m(f) = 0.\nAnswer: -6, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.0296  (b) 2\/7  (c) 2  (d) 37.6  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4530340 + 2?\nAnswer: 4530342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*i**3 + 715 - 715.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 3*z**2 - 3*z + 2. Suppose 0 = 2*b + 5 - 7. Let n be p(b). Determine m so that -3*m**4 + 3*m**n - 7*m + 3*m - 3*m**3 + 7*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 294 by -3.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 + 2 - 8 - 241*d to the form m*d + x and give m.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3330 and 5227110?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234*q - 536 = -368*q. Let b(s) be the second derivative of -34*s + 37\/12*s**q + 0*s**2 + 0 + 7\/2*s**3. Find the second derivative of b(a) wrt a.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 3*h**2 + 9*h - 8. Let m(g) = -g**3 + 2*g**2 - 8*g + 7. Let c(a) = -7*m(a) - 6*p(a). Let f be c(-2). Solve -2*d + 1 = -f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 220 is divided by 7 + (0 - 3\/(-3)*30).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4639 and -4637 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 66762620 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3185 + 3264. Solve -d + 24 = -4*v, -52 + i = 3*d - 3*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 2*l + 14, -4*i + 0*l - 7 = -5*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 13 = 4 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 4*f - 455. Let q(p) = -3*p. Give d(q(k)).\nAnswer: -12*k - 455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w**4 + 2*w**3 - 2*w**3 + (-1 - 2*w**3 + 1)*(2*w - 4*w + w) - w**4 - w**4 - w**4 to d + i*w + c*w**3 + f*w**2 + s*w**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(132) - -2*sqrt(132)))\/((-3*sqrt(432) - sqrt(432)) + sqrt(432)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/18 - (-215)\/(-45))\/(7 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*q - q**3 + q**5 + 9*q + q**3 wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 204973062 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 83576081 to the power of 1\/2, to the nearest integer?\nAnswer: 9142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 331429351 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 + 35. Let f be 98\/22 + (s - 5 - 3). Solve 14\/11*h**3 - 56\/11*h - f + 4\/11*h**2 = 0.\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 - 20.8. Let o = 1.32 + f. Round o to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4 - 0.3. Let v = o - 0.4. Let q = v - -0.4. Which is the biggest value?  (a) -1\/4  (b) q  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -m**2\/2 + 5932*m - 17594312 = 0.\nAnswer: 5932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 3*f**4\/7 + 66*f**3 - 1971*f**2\/7 - 11766*f\/7 + 1896 = 0?\nAnswer: -158, -4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 7, -5 in ascending order.\nAnswer: -5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 + 17*d - 11. What is c(11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 14 = 3*l, -l + d + 2 = -d. Suppose -x = -l*x - 24. Let k(m) = -m**3 - 8*m**2 - 11*m + 6. Is k(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1158127679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10636, -21431, -32226?\nAnswer: -43021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cbl when three letters picked without replacement from hhllhclmbhlhlmlhhhl.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from onnollswoooolo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o. Let r(m) = -m**3 - 2*m**2 - 2*m - 1. Let l be r(-2). Suppose 5*z + 7*h - 2*h + 10 = 0, 4*z = -l*h - 5. Let v(c) = -2. Calculate z*v(j) - 2*g(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7568596417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is -10a (base 16) in base 9?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/1024 and 59\/136?\nAnswer: 17408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 666 by -8.\nAnswer: -333\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (-44 + 13 + 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 859 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 2*b + 81, 15*s = 3*s - 4*b + 3*b + 33 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 5) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1171724 and -0.11?\nAnswer: -0.012888964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s = -3*d + 4*s + 1637, 2*d = -s + 1093. What is the second derivative of h - 37 - 68*h**5 + 547*h**4 - d*h**4 wrt h?\nAnswer: -1360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.736 + 6.264. Put n, 0.2, -1\/2, 110 in decreasing order.\nAnswer: 110, n, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f**3 + 6*f - 6*f)*(2*f - 89 + 89).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/20*(-30)\/(-234))\/(4\/(-4)).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = 11*g - 16*g. Suppose -g*j = -16*j + 81. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143 + 330 + 161 - 2*i + 9 + 4*i.\nAnswer: 2*i + 643","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 348079954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 55818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (21\/35)\/(21\/1224755) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 634?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 6*c**2 + 5*c + 3. Let f be u(-5). Suppose 2*n = f*q - 53, 4*q + 4*n = 82 - 18. Calculate the remainder when 62 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3\/13))**(2\/109)*(((f*f**(-2\/11)*f)\/f)\/f)**(-3) assuming f is positive.\nAnswer: f**(8436\/15587)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 8*l + 7*l - 3*l. Suppose 4*u + 10 = -4*y - u, -y = u + 3. Let o(k) = -3*k - 160 + 160. What is y*d(w) - 21*o(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10822)\/9276)\/((-7)\/8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 50 = 14. What is the remainder when 50 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -685083 divided by -19?\nAnswer: 36057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p, 1 c, and 1 h when four letters picked without replacement from {p: 3, q: 4, c: 1, b: 2, h: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 544 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**4 + 2 - 4*g - 1 + 0*g**4 - g**2 + g**4 to l*g**2 + p + j*g + w*g**4 + o*g**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 15*w - 19*w. Suppose 3*j - 4*q = -w, 5*q - 2 = 8*j - 5*j. Solve j - 11 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37 + 38. What is the units digit of (-85 + 27)\/(t*(-1)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52373 times 0.06?\nAnswer: -3142.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-4)*p\/(p*p*p*p**0))\/(p**(-3)\/p*p**7*p))\/(((p\/p**(-2\/5)*p*p)\/p)\/(p**(2\/15)*p*p)*(p**(1\/4))**(-4\/7)) assuming p is positive.\nAnswer: p**(-1063\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 8 = s, 3*s + 2*j + 8 = s. Let w be -2*(18\/(-36))\/((-173)\/(-2)). Are s and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3882280491 to the nearest integer?\nAnswer: 62308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43909 is divided by 709.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.41 + -4.4512. Let f = n + -4.9588. What is the closest to 0 in -19, f, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, o: 1, e: 6, b: 3}. Give prob of sequence eoje.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - n + n)*(-18 - 9*n + 18) + (16 - 8*n - 11 + 6*n)*(16*n - 8*n + 15*n).\nAnswer: -73*n**2 + 115*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 92.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 7:03 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {c: 1, y: 3, u: 5, g: 2, s: 3, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -121515948 bigger than -121515948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of -2*q**6\/5 - 4*q**5\/5 + 2*q**4\/3 + 8*q**3\/3 + 2*q**2 + 3*q. Solve d(b) = 0 for b.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*h + q - 17, 4*q = -4*h - 4. Let l(d) = -d - 8. Determine l(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/(-6)*-2)\/((-3)\/18). Let p(q) be the second derivative of -3\/20*q**5 + 1\/2*q**3 + 0 + 0*q**f + 4*q + 0*q**2. Factor p(m).\nAnswer: -3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - (-28 + 15 - -16)) + -40.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -346, -673, -952, -1159, -1270, -1261?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 PM and 8:21 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6736 + 0*q**3 + q + 22259 - 204*q**2 + 2*q**3 - 21*q**2 + 39*q**2 wrt q?\nAnswer: 6*q**2 - 372*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4445 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -24*f + 242. Calculate o(7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1*3\/(-3)*6\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s - 385 = -s. Let n = s + 58. Let i(h) = 42*h - 8. What is the hundreds digit of i(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence he when two letters picked without replacement from pphpehghpg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000000001 - -110?\nAnswer: -1111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 y when three letters picked without replacement from {y: 7, p: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 9*m + 18. Let h(b) = -68 - 71 - 7*b + 136. Give h(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -474 and 5832.\nAnswer: 5358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 44*i**2 - 86*i + 222. Let a be g(3). What is the greatest common factor of a and 2988?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 6*y**2 - 18*y + 11. Let l be a(8). Let s = l + 8. Find the second derivative of -10*w**s + 8*w**4 + 10*w**3 - 9*w wrt w.\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of v**4\/4 + v**3\/3 + 8*v + 2. Let j be z(0). Suppose 2*k = -3*b + j, 4*b = -k + 4 + 5. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2549412.5 rounded to the nearest one thousand?\nAnswer: 2549000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.869125 grams in milligrams?\nAnswer: 2869.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(170) - (sqrt(170)*1 - sqrt(170) - sqrt(170)) - sqrt(170)))\/(-6*2*sqrt(10) - sqrt(10)))**2 - ((sqrt(425) + 3)**2 - (sqrt(68)*1)**2).\nAnswer: -61701\/169 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 1\/2*u**3 + 1\/2*u**2 + 4 - 5*u = 0?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1004105252 (base 6) to base 5.\nAnswer: -10112221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6310944977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 33047790*b*j**2 + 2*b*j + 636933*j**2 - 4*j wrt b.\nAnswer: 33047790*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (-4 + 12 - 3)) + -4 - -4 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + -4*sqrt(60)\/sqrt(3) + sqrt(180)*6)\/(-3*(sqrt(100) + sqrt(100) + sqrt(100)*2)*2).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -256 = -43*g - 729 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22 + 19. Let f = 6 - 13. Let d = z - f. Which is the second smallest value?  (a) -3\/2  (b) -0.1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.52818 rounded to two dps?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009544246079 to six decimal places.\nAnswer: 0.009544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-168)\/(-78) + 2 + 4\/(-26). What is the derivative of j**4 + 0*j**t + 8 + j**4 - 4*j**4 wrt j?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*l - 92*l + 3*r + 125 = -52*l, 2*l + 2*r = -54 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/7 + (-1174)\/140 and 49\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -21*n**2 - 19*n**2 + 8*n**2. Let l(x) = -x. What is l(f(g))?\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -946\/15 - -779\/10. What is the common denominator of p and -10\/17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2383*r + 4346913 - 4346913)*(3*r + r - 3*r) in the form h*r + a + s*r**2 and give s.\nAnswer: 2383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of 1\/360*n**6 + 1\/6*n**3 + 0*n**2 + 0 - 1\/60*n**5 + n + 0*n**4. Let y(d) be the second derivative of z(d). Factor y(f).\nAnswer: f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*a - 6*a - 63*a**2 - 4.\nAnswer: -63*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.005 * -0.014\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -363*g - 19393 = -1524 + 11897 for g.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u - u = -50. Suppose -p - 48 = -x, p - 248 = -u*x - 2*p. What is the remainder when x is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*z - 138*z = -1769 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 12, 36, 82, 156, 264, 412, 606?\n\"Answer: i**3 + 5*i**2 + 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u. Let n(o) = -39*o**2 - 34*o - 11. Let m(a) = 25*a**2 + 24*a + 7. Let b(v) = 11*m(v) + 7*n(v). Give b(k(s)).\nAnswer: 2*s**2 - 26*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(1584) + -2)**2*6.\nAnswer: -576*sqrt(11) + 9600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5 + 1\/2*u**2 - 1\/10*u**3 - 4\/5*u.\nAnswer: -(u - 2)**2*(u - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-24)\/(-14))\/((-6)\/(-21)). Solve 0 = s*u - u + h + 10, -u - 3*h = 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-288)\/(-108))\/((-2)\/(-3)). What is the smallest value in r, 2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*k = -16, 96*q - 4*k - 40 = 98*q. Let y = -33 - -9. What is the closest to y in q, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -23?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -61 + 66. Let l(t) be the first derivative of -1\/10*t**h + 0*t**4 - 1\/12*t**6 + 0*t**3 + 1 + 0*t + 0*t**2. Let l(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14100 (base 7) in base 3?\nAnswer: -12020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k + 1. Let s(p) be the second derivative of p**4\/24 - 25*p**2 - 4*p - 1. Let a(j) be the first derivative of s(j). What is a(i) + b(i)?\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 5 - 8 + (3 - 3 - 1)*(1 - 4 + 0))*(-2 + 4 + 1)*(2*x - 8*x + 2*x).\nAnswer: 72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1521011 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 210227.7cm in micrometers?\nAnswer: 2102277000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y + 17\/2*y**2 - 48 + 1\/2*y**3.\nAnswer: (y - 2)*(y + 3)*(y + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2240735*n + 2838*n**3 - 2240735*n)*(-2*n - 3 + 3).\nAnswer: -5676*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the third derivative of i**5\/270 + i**4\/54 + i**3\/27 + 10*i**2. Factor v(m).\nAnswer: 2*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 30\/32 + (-2 - -1). Let k = 9156872\/7785 + -10586\/9. Let n = k + 1736\/2595. Sort 2\/19, -4, w, n.\nAnswer: -4, w, 2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-39984)\/1232 - 6\/11) + -12 + (2 - 0).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 7) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3380*c*j**3 - 3*c*j**2 - 286220*c + 89*j**3 wrt j?\nAnswer: -20280*c + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 6:21 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 642 is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -24521.289*0.2\nAnswer: -4904.2578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -20*k. Suppose 12 = f + 2. Let p = 9 - f. What are the prime factors of v(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-6)\/(l**(-1\/5)*l))\/(((l\/((l**(-2\/3)*l*l*l)\/l))\/l)\/(l\/l**5)))**(2\/7))**(2\/9) assuming l is positive.\nAnswer: l**(-568\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*m - 2*m. Solve 4*v + 4*r + 4 = 0, 6 = -v + 2*r + m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*sqrt(143)*-5)\/(-2*sqrt(22)\/sqrt(2)*5).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -67*b + 71*b - 2*d + 20, d = b + 4 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.08 - 0.2. Let s = p + -4.88. Let n(h) = -4*h**3 + 2*h**2 + 2*h. Let r be n(-1). Which is the closest to 1?  (a) r  (b) -3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 4*z**2 + z + 14. What is c(-6)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = n + 279. Let a = -40 - n. Suppose -2*b = -1 - a. Calculate the highest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2201*a - 3265. Let l(c) = 4403*c + 6529. Let s(b) = -6*l(b) - 13*x(b). What is the derivative of s(i) wrt i?\nAnswer: 2195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8859 is divided by 8679?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -640 + 639. Is 2 - z\/(8\/147432) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 - j - 2. Let w be z(-2). Let k be 0\/(-1 + (2 - w)). Suppose k = -22*l + 21*l + 59. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11704 less than 11695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8\/3 - 3)*9. Let d be (-3 - n - 3) + 4. Which is greater: d or -2\/21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 PM and 6:38 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 371 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -247*x**3 + 215*x wrt x.\nAnswer: -1482*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 103321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -2*w + 10, -3*w + 1 = -57*r + 55*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 548945896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 7*j**2 + 4*j. Let i be o(2). Suppose -r + h = 19, -3*r - 39 = -2*r + 3*h. Let g = r + i. What is the lowest common multiple of 22 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -7\/2*d**2 - 1 - 6*d - 1\/3*d**3. Let a be t(-6). Solve a = -f + 3*f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 10) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-21) + 4\/(-6))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1985, 1986, 1987, 1988, 1989, 1990?\n\"Answer: h + 1984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*s - 21*s + 4*s + s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 44*k**2 + 3*k - 50. List the prime factors of s(-8).\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 4*g + 10. Let k be g + 44\/10 - (-34)\/(-10). Is (0 + 6\/(-9))*1506\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2 + 313*t**2 + 1 - t - 145*t**2 - 169*t**2. Let h(q) = 5*q**2 + 4*q + 9. Determine h(b) + 4*n(b).\nAnswer: b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - x + 4. Let k be f(0). Suppose -5*q + 23 = -k*q - 5*g, 2*g = q - 11. Solve 3*w + 12 = q*n, w + 3 = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*f + 30 = -1348 - 141 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -18*p. Let x(z) = 182*z. Let l(g) = 21*v(g) + 2*x(g). Calculate l(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2229.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2211958 divided by 157997\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**3 + p - p)*(5*p + 0*p - 2*p + (-6*p + 5*p + 2*p)*(2 + 1 - 4)) + (-3 + 4 + 0)*(-3*p**4 - 2*p**4 + 3*p**4) + 3*p**2 - p**4 - 3*p**2.\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {v: 2, w: 2, h: 1, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 + 12*m**2 + 12*m + 12. Let f be z(-11). Let y be ((-18)\/24)\/(f\/4)*597. Calculate the remainder when 102 is divided by y\/(-51) + (-6)\/51.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 101002279 or 505011399\/5?\nAnswer: 505011399\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -64 - -61. Let v be 3\/(-6) - (y + 9\/(-2)). Solve a - 5 + v = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 4:23 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2577*p + 2577*p - 1 + p**2. Let x(z) = -z**2 - 6. What is -6*s(d) + x(d)?\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f**3 - 2*f**3 + 0*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 19 + -3 - (492 + -509 + 24 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 116*q - 12. Let v(m) = 51*m - 5. Let y(w) = -7*i(w) + 16*v(w). Let r(l) = -1. What is 16*r(o) + 4*y(o)?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -2*c + 7*c. Solve -s + 3*s - 10 = c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from nqbqqnnqnbnq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2856 + 2661 = 5*d - j, 3*j - 65 = 2*d for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 34932252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-6))\/(g**(-1)\/g)*g\/g**(-7)*g*(g*(g*g*g**(-6))\/g)\/g*(g\/((g**(-3)\/g)\/g)*g*g*(g\/(g**(-4)*g*g))\/g)**(-16) assuming g is positive.\nAnswer: g**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from geenexeeeeegex. Give prob of picking 1 e, 1 n, and 2 g.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of 1\/2*h**3 - 1\/12*h**4 + 0 + 2*h**2 + 22*h. Calculate v(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -139244 or -3?\nAnswer: -139244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of r**4\/66 + 7*r**3\/11 - 2*r**2 + 235*r. Factor o(d).\nAnswer: 2*(d - 1)*(d + 22)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1239 is divided by 312.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1157\/15 - -77. Which is the third biggest value?  (a) s  (b) 11  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3979, 3979, 3987, 4009, 4051?\nAnswer: 4119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 28\/5 - 2 - (-48)\/(-80). Factor -4*u**3 - 2000 + 386*u - 2586*u + 2*u**g + 17*u**2 - 222*u**2 - 3*u**3.\nAnswer: -5*(u + 1)*(u + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/20, 3\/4, -0.1, -2, 290.\nAnswer: -2, -0.1, -1\/20, 3\/4, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 124441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 2*r - 0 + 1, -r = -2*a + 7. Suppose 6*g = a*g + 3. Solve 0 = 4*q + 3 + g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p\/p**(4\/27)*p**(-17) assuming p is positive.\nAnswer: p**(-409\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 208467 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 28 = -r, -5*h + 4*r + 20 = -3*h. Let z(f) = 4*f - 20. Let l be z(h). Suppose 0 + 6\/7*y**l + 10\/7*y**3 + 2\/7*y**2 - 2\/7*y = 0. What is y?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 98*c - 37. Calculate the remainder when g(1) is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-94780435.\nAnswer: 189560870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (40*g**3 - 21*g**3 - 21*g**3 - 2*g**2)*(3*g - g + 0*g) in the form m*g + b*g**3 + r + n*g**2 + k*g**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*p - 5*p - 9*p + 25*p - 17*p.\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 + -18. Let v(f) = 50 - 24 - 26 - n*f. Let u(m) be the third derivative of m**5\/20 - 16*m**2. What is u(v(c))?\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 15*m + 47. Let j be t(-3). Suppose -5*w = -0*w + j*o - 3268, -5*o + 649 = w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 2*c = 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 5*x**2 - 835*x + 3578. What is y(163)?\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (207\/46*(-8)\/42)\/((-80)\/175)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 39*l**3 + 60*l**2 + 7*l - 46. Let q(j) = 14*j**3 + 20*j**2 + 2*j - 16. Let d(v) = -4*c(v) + 11*q(v). What is the second derivative of d(b) wrt b?\nAnswer: -12*b - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggwsswgwwwgs. Give prob of sequence gsw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 303794626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 69 - 66. Suppose 38 = 134*d - 96*d. Put 0.1, c, d, -1\/2 in decreasing order.\nAnswer: c, d, 0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 divided by -40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -19. Let d = -1.5 + g. Which is the closest to -1?  (a) -0.2  (b) d  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 2.006604\nAnswer: -2.993396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 + 0*x**2 + 31*x - 28*x)*(0 - 1 - 1).\nAnswer: 4*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 2*m = -8, 2*m - 7 = 1. Let t be (-3)\/15 - (x - (-81)\/(-5)). Solve t = 2*a - 3*f, -f + 5*f - 2 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 5*b = -20, h + 2*b + 14 = 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.33 in -0.0329, 1, 10.4, -3\/5, 4\/3?\nAnswer: -0.0329","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 69.49963 weeks in seconds?\nAnswer: 42033376.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1676739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -33*t**2 - 12 + 11*t**2 + 2*t + 17*t**2 + 2 - 2 - 2*t**2 + 0 + 0 - t**2 + (2*t - 5*t + t)*(t + 0*t + t).\nAnswer: -12*t**2 + 2*t - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 48 = 4*g, -g + 48 = -5*g - 5*a. Let m(k) = -k**3 - 4*k**2 - 2*k - 4. Let f be m(-3). Let p = f - g. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -52987, -52988, -52989, -52990, -52991?\n\"Answer: -z - 52986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + 6*d**2 + 5*d - 1. Let w be t(-5). Suppose 0 = 9*g + 20 - 20. Suppose -7*p + 3*p + 24 = g. Put -3\/2, p, w in ascending order.\nAnswer: -3\/2, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 222*n**2 - 2*n - 441. Determine r(-222).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 6 = -2*u. Let o(n) = n**2 + 5*n + 6. Give o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 867 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p = -9*p - 24. Let i be 3 - ((-8)\/(-10) + (-3016)\/145). What is the derivative of -7*t + i*t**3 - p + 5*t + 2*t wrt t?\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64821 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 3:51 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10*((-12)\/45 + 4\/6). Which is smaller: 5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(288) - sqrt(288)) + sqrt(288) - sqrt(288)) + sqrt(288) + (3*sqrt(2)*1)**2 - sqrt(24)\/sqrt(3)*-3.\nAnswer: -18*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 576.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0014348 rounded to 5 decimal places?\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 7 + j**2 + 2 + 1 in the form p + o*j**2 + a*j and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 48. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 14576.070802167 and 0?\nAnswer: 14576.070802167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1974*a*f**3*q + 329*a*f*q**2 - 11*f**3*q + 3427*f**2 + 73*q**2 wrt a.\nAnswer: 1974*f**3*q + 329*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 884 - 169. Let d = a - 715. Solve 6*b + 18 + 0 = d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 133 and 242459?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.429, -4\/7, 2, -803.25?\nAnswer: -0.429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of -k**4\/2 - k**3\/2 + 2*k**2 - 1566*k. Give g(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w**2 - 946854*w + 946854*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 2:38 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**4 - 102459*m**3 + 69465405*m**2 - 15745252769*m + 1190505713574 = 0.\nAnswer: 227, 101778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6439 (base 15) to base 13.\nAnswer: 9861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*x - 352 = -67*x. Find the third derivative of 11*i**6 + x*i**3 - 13*i**3 - 17*i**3 - 37*i**2 wrt i.\nAnswer: 1320*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 71 + (-126 - -80) + -83 + -1\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/9  (b) 0.5  (c) 4  (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + u**2 + u - 1. Let h(s) = 20*s**3 - 6*s**2 - 5*s + 7. What is h(c) + 5*t(c)?\nAnswer: 15*c**3 - c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4596.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 10, 5*u - 2*y - 6 = 19. Let b(l) be the third derivative of 0*l**u - l**2 + 0*l**4 + 1\/60*l**5 + 0*l + 0. Let q(w) = -3*w. Determine b(q(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -36537 by -12179.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 5*a - 82 = -87, -2*a = 3*g + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(100)\/(sqrt(2) - ((sqrt(98) - sqrt(98)*-2) + sqrt(2) - sqrt(2))))\/(1*sqrt(90) + (2*sqrt(90) - sqrt(10))).\nAnswer: -sqrt(5)\/160 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -58*o**4 + 3*o**3 - 392.\nAnswer: -232*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*b = -125*b + 2048 + 497 + 366 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 - 16. Let f(h) = 2*h + h + 4*h - 3*h. Does 12 divide f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -415390*g*k**2 - g*k + g - 2736*k + 41 wrt k.\nAnswer: -830780*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1039 times -0.1\nAnswer: -103.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 2907265941\nAnswer: -2907265940.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2 + (5 - 2 - 2)*(-3 - 1 + 5))*(3*q - 4*q - 2*q)*(-364*q + 16*q**2 + 364*q).\nAnswer: -144*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 200433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 41191230912 plus -0.59?\nAnswer: 41191230911.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 16240 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 8*f - 16. Calculate the smallest common multiple of f and (5\/3 + -1)*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.5, 22, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1235, -2459, -3697, -4955, -6239?\n\"Answer: -a**3 - a**2 - 1214*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (728 + 547 - 376)*(m - m + 4*m).\nAnswer: 3596*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -2*y - 6 - 3, 24 = 3*w - 5*y. Let b = w + 0. Let q(s) = -s. Let p be q(-6). Solve -5*n = -b*n - p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2104\/13 + 162. Let j = -69 - -346\/5. Which is the smallest value?  (a) 4  (b) v  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 86*d**2 - 163*d + 1140. Determine f(-88).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -264916*t**2 + 6*t + 264945*t**2 - 6*t.\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -4 + 6 + 1 + (-3 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -2\/45  (b) 7  (c) -0.2  (d) 381\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004508422 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7757825 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 78416\/(-928) + 3\/21*7\/(-2)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from yyvaovoyyttyvyyyyso.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-69 - -135) + -19 - (1 - 15)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 4. Let g be (-8)\/(-44) - (-2)\/(-11). Suppose -2*h + 6*h - 4 = g. Is m greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1154*h**4 + 450*h**2*o**3 - 7872*o**3 - 39*o**2 wrt h?\nAnswer: 4616*h**3 + 900*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15773.\nAnswer: 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + 3*n**2 - 3*n + 5. Let f be k(-4). Let d(r) = 3*r**2 + 3*r. Let c(j) = -30815 - j**2 - 30805 - 30811 + 92432 - j. Give f*c(s) + d(s).\nAnswer: 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(2 + -2*(-1 + sqrt(684) + 0 + sqrt(684) - (sqrt(684) - 5*(-2 + sqrt(684))))*4))**2.\nAnswer: -466560*sqrt(19) + 14256324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -10*y + 1 + 6 + 2 - 8*y**2 + y**3. Let m be k(9). Let a = m - -7. Solve 0 = -3*o + a*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 + 16. Suppose -2*b + 7*b - v = 4449, -3*b + 3*v + 2679 = o. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/((-6)\/(-54)*-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 394, 790, 1186, 1582, 1978?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6043672 by -76.\nAnswer: -79522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 34*j + 2234. What is the remainder when 861 is divided by c(64)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*j + 629*m - 516 - 261, 0 = -4*j - m + 149 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.55 + 0.05. Let g = -118.46 + 121.46. Which is the nearest to 1?  (a) 0.03  (b) g  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 172.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28912 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -68*k**2 - 2*k + 1. Give a(1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1155*g - 1160*g - 3*a + 49 = 0, -35 = -3*g + a. Solve -7*o + g*o = -5*x - 21, 5*x = -25 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 - 10. Let w(b) = 5*b - 27. Let q be w(x). Factor -1\/6*g**q - 5\/6*g**2 - 2\/3 - 4\/3*g.\nAnswer: -(g + 1)*(g + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vts when three letters picked without replacement from {s: 3, q: 3, t: 1, p: 1, v: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 3*c = -689 + 657, -3*c = 7*n - 58 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -53 (base 15) to base 16\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 26\/5 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1916 is divided by 211.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - 5*y + 6. Let d be w(-6). Suppose d*z = 3*z. Solve -16 = 2*c + 4*o, 4*c + 5*o + z*o = -26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of 0*i + 1\/210*i**5 + 7\/3*i**3 + 0*i**4 - 11 + 1\/1260*i**6 + 0*i**2. Let n(j) be the third derivative of y(j). Factor n(s).\nAnswer: 2*s*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*-3*(-2)\/(-106)*(140\/(-15))\/28?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 38773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3486 = -1198. Let u = p + -249. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5364 and 95112.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-217*k + 20955 - 20955)*((-3 + 3*k + 3)*(k**2 + 0*k**2 - 2*k**2) + k**2 - k**3 - k**2).\nAnswer: 868*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -9 and -12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 289149845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4084 + 85*i**2 + 3*i**3 - 4085 + 20*i**2 to the form l*i**2 + s*i**3 + m + h*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 56 = 3*x. Which is the biggest value?  (a) x  (b) 0.3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -239*(-4 + 2 - 0). Suppose -u - 5*o - 2370 = -6*u, -u + w = -5*o. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*1 - 68\/(-136). Which is the nearest to o?  (a) 0.06  (b) 0.3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 12:34 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*b - 2*b - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9272 and 24888.\nAnswer: 472872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*n**2 + 877530*n + 877525 = 0. Calculate n.\nAnswer: -175505, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u - 9*u + 79 = 0. Are u and -79 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 58 = -34. Find the common denominator of (-46)\/40 - (-1)\/(-4) and 184\/21 + 4\/18*h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4327018 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 + 161 - 96 = -41*f. Let k = -127\/3534 - -3\/38. Which is smaller: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-1\/29))\/w**(4\/17)*w**(2\/23)\/(w*(w**(-11\/4)*w)\/w) assuming w is positive.\nAnswer: w**(116437\/45356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29528945 is divided by 2271456?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w**3 - 54*w**3 + 33*w**3 + 25*w**3 - 5*w**3 + 0*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58 - 64. Let y be (4 - 1)\/(p - (-1202)\/200). Suppose 5*t - y = 2*z, -t + 5*z - 120 = -3*t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 29 = -3*p - p, 57*n - 62*n - 7663 = 956*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -10021102222101 (base 3) to base 5\nAnswer: -421201320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + 7*h - 33. Let w be f(4). Solve 10*y + w = 11 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 902510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-234)\/(-52))\/(11175\/(-298))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 272803457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 24342660 rounded to the nearest ten thousand?\nAnswer: 24340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 v, and 1 z when three letters picked without replacement from wvwwwvzv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-56)\/(-7) + (-22)\/(2178\/819)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*j - 437 = -4955. What are the prime factors of j?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8475 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**3 - u + 7*u - 8*u.\nAnswer: -4*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -22*c - 10. Let m(k) = -22*k - 9. Let n(u) = 7*m(u) - 6*r(u). Is n(-5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - 23*x**2 - 45*x - 99. Let u be m(25). Calculate the highest common factor of 2106 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of -o**7\/5880 + o**6\/210 - o**5\/40 + 11*o**4\/6 + 11*o. Let z(h) be the third derivative of m(h). Factor z(y).\nAnswer: -3*(y - 7)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 17 - 2 = 0. Suppose 2*o + 3*h = -18, 4*h = -f*o + 16 - 41. Put o, 48, -4 in decreasing order.\nAnswer: 48, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 322 (base 4) to base 16.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 329049 and 945.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5293 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5*u**2 + u + 4. Let y(x) = 9*x**2 + 2*x + 7. Let t = -62 - -59. Determine t*y(z) + 5*w(z).\nAnswer: -2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/86)\/((915\/60)\/61)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -833\/9 - -10865\/36. Solve 0*m + 3 + x*m**4 - 201\/4*m**2 - 45\/4*m**3 + 405\/4*m**5 = 0.\nAnswer: -2, -2\/5, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*l*w**5 - 149*l - 15*w**5 - 3*w**3 - w**2 wrt w.\nAnswer: -180*l*w**2 - 900*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 437 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 23*h - 91. Let s be q(20). What is the highest common divisor of s and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 2:40 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.9 - -9. Let i = 61 + -298\/5. Which is the third biggest value?  (a) i  (b) -3\/5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 278362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8514 = -258*x, 5265*x - 5264*x = 3*o + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(2178).\nAnswer: 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -13, -34, -57, -82?\n\"Answer: -g**2 - 18*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -733699, -1467397, -2201095, -2934793, -3668491?\n\"Answer: -733698*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of 122*c**7\/21 - c**4\/12 + 97*c**3\/6 - 54*c. Find the third derivative of v(w) wrt w.\nAnswer: 14640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 - 48. Which is the nearest to z?  (a) 14  (b) -0.9  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15620 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 PM and 11:05 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 2*m - 2*x - 206, -4*m = -x - 424. Let z = 162 - m. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69*192.\nAnswer: 13248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*c**3 + 7*c - 7*c + 123*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x. Let h = -44 - -39. Let d(j) = 10*j. Determine h*i(n) - d(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 149533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**2\/3 - 688627*q\/3 + 137726.\nAnswer: -(q + 137726)*(5*q - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -91 and -0.5.\nAnswer: 45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.5 + 5.5. Let d = 6.4 - y. Let g = 0.3 - -0.2. Which is the smallest value?  (a) g  (b) d  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 k when four letters picked without replacement from {e: 1, k: 3, x: 1, f: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from wwwwwwwwwwwwwwlllwww?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 40923.3 millilitres?\nAnswer: 40.9233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 1)*(0 - 1 + 0)*(3 - 3 + 2*s)*(277*s - 381*s - 102*s)*(4 + 4 - 6).\nAnswer: 1648*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(204)*4)\/sqrt(12) - sqrt(136)\/((sqrt(16)*-1)\/sqrt(2)).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 471 + -282. Calculate the greatest common factor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -58*1*9\/144*8\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*u = 8*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -3*k - 3*n, 0*k + 22 = 2*k - 2*n. Solve s - k = -9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**3 + 2*w**3 - 2*w**3)*(5852*w - 1 + 5732*w - 11915*w)*(1 - 3 + 5).\nAnswer: -993*w**4 - 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 505333.\nAnswer: 23, 127, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 546.4174 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/3065 + 58343\/165510. Let y = u + -281\/594. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*x + 219 = 155. Let p(h) = h - 6. Calculate p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n**2\/7 + 27366*n - 141235704\/7 = 0 for n.\nAnswer: 746, 63108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - u + 8. Suppose -223 = u*o + 175. Let l = 356 + o. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 2:33 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 4*x**3 + 6*x**2 - 97*x - 143. Give z(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 106, 838, 2842, 6760, 13234, 22906, 36418, 54412?\n\"Answer: 107*g**3 - 6*g**2 + g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -406 + 1625\/4. Let f(g) be the first derivative of -1\/4*g**5 - 1 + 5\/8*g**4 + 5\/8*g**2 - 5\/6*g**3 + 1\/24*g**6 - i*g. Determine r so that f(r) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t - 4. Let b be x(3). Suppose b*i + 4*h + 2872 = 556, -h + 1152 = -i. Is (-22)\/55 + i\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-12)\/(-9))\/2)\/(-21*(-4)\/27)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c*c**6)\/c*(c**(4\/9)*c)\/c*c*c*c*c**(1\/10)*c**4)**(-1\/3) assuming c is positive.\nAnswer: c**(-1309\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -507 divided by 13\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (60\/(-16))\/((-2)\/24). Suppose 2*m - 5*m + 15 = 0, -3*m - 18 = 3*u. Let s be 4\/8*-4 - u. What is the greatest common factor of x and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 20548594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8884.5 + -6089. Round x to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19754 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-2)\/16*-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 9, q: 9}. What is prob of sequence wqq?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8287457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.1 and 0.253255.\nAnswer: -0.2785805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**5\/6 - h**4\/6 - 7*h**3.\nAnswer: h**3*(h - 7)*(h + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 99255 and 1018?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - 19*d - 4*d)*(-143*d + 252*d + 334*d) + (4*d - 2*d - d)*(-d + 4*d - d).\nAnswer: -9744*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -75 + 73. Let g be t*1 - (7 + -3)*-1. Solve l = g*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(1539) + (sqrt(1539) + 0)**2 + -5*(sqrt(114)\/sqrt(6))**2.\nAnswer: 9*sqrt(19) + 1443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 + 7*z**2 + 6*z. Let u be i(-6). Let p be 2\/1 + (-2 - 0). Suppose -h + p*h + 8 = u. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/((-8)\/6 + (-354)\/(-261)). Let q = c + 87. Let a = 0.05 + -3.05. Sort 2\/3, a, q in decreasing order.\nAnswer: 2\/3, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -5*v - 95, -4*v - 3*t - 80 = 2*t. Sort 1, -2, v in descending order.\nAnswer: 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -356?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -20013097 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, i: 1, q: 4}. Give prob of sequence qm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*n - 155 - 17*n + 63*n - 25*n.\nAnswer: 4*n - 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -905*x**2 - 930*x**2 + 1813*x**2.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -87144757, -87144755, -87144753?\n\"Answer: 2*m - 87144759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - -1) + -4 + 2. Let u be 20\/6*(5 + a). Suppose -4*n + 0*n - 34 = -2*w, -2*w = 4*n - u. Solve 2*g - 20 = -4*p, 5*g - w = 3*p - 0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2053*o - 609. Is 6 a factor of s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + sqrt(80)\/(sqrt(24)\/sqrt(6)))*-3 + 0 + 4.\nAnswer: -24*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from sdbesddeedweddedeeb?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of -4\/3*h**3 + 0 - 1\/30*h**5 - 2*h**2 + 1\/3*h**4 + 0*h. Factor p(a).\nAnswer: -2*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of o**4\/4 + 28*o**3\/3 - 31*o**2\/2 + o - 21. Is s(-26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**5 + 6*q**5 - 2*q**5 + (24985*q**2 - 24985*q**2 + 6054*q**4)*(-2*q + 2*q + q).\nAnswer: 6056*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a47a (base 15) to base 10.\nAnswer: -34765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35860 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 2*m - 2*i + 16 = 0, -5*m + i - 22 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {e: 1, s: 2, x: 3, c: 4, h: 1, u: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of g**6\/120 + g**5\/20 - g**4\/12 - g**3\/6 + 8*g**2. Determine n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.08 + -0.52. Let k = s - -0.59948. Round k to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 + g - 1. Let w(q) = -q**3 - 10*q**2 + 7*q - 4. Let m(a) = -w(a) + 5*x(a). Let o be m(-5). Factor 3\/2 + 27\/2*u**2 - 6*u**3 - o*u.\nAnswer: -3*(u - 1)**2*(4*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 429, 1368, 2959, 5202, 8097?\n\"Answer: 326*r**2 - 39*r + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 4104 = 323*n - 319*n, -2*n + 2078 = -4*s. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 4:43 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 33495 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/140 and -121\/336?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from svsevvvk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, -1, -16 in descending order.\nAnswer: 4, -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -5  (b) -2\/7  (c) -431\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2822 is divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.836303203 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 138087 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -49*j. Let k be f(-2). Calculate the greatest common factor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -7*a**3 - 6*a**2 + 4*a + 1. Give t(-3).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * 200.\nAnswer: -3400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -5*v. Let a(q) be the first derivative of q**5\/120 - 2*q**3\/3 - 22*q - 201. Let j(g) be the third derivative of a(g). What is -6*j(i) + s(i)?\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*(-2)\/(-9)*42\/(-14). Let g(w) = -21*w**o + 4*w + 44*w**2 - 8 - 22*w**2. Give g(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 AM and 12:07 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5*b**3 + b**2 - b + 1. Let k be i(1). Let d be 5\/2 + (-2)\/k. Suppose 40 = 8*m - d*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 39?  (a) -9  (b) 10  (c) 0.5  (d) 0.2  (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 7*i**3 - 5*i**2 + 5*i - 8. Let a(p) = 2 + 6*p**2 - 8*p**3 + 6 - 3*p - 3*p. Let n(h) = -5*a(h) - 6*o(h). Differentiate n(q) with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-70)\/4)\/(-7)*(-9)\/(-60)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13338659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of p**8\/6720 - p**7\/2520 - p**6\/240 - p**5\/40 - p**4\/12 + 5*p. Let b(j) be the third derivative of w(j). What is b(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*v = 3386 + 1314 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*d**4*y**3 + 23*d**4*y**2 - 8*d - 2*y**3 wrt d?\nAnswer: -36*d**2*y**3 + 276*d**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1615, 3490, 5881, 9046, 13243, 18730, 25765, 34606?\nAnswer: 45511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g**2*n*r - 4*g**2*r + 554360*g*n - 2*n*r + 3385*n + 2*r + 125 with respect to g.\nAnswer: 2*g*n*r - 8*g*r + 554360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*u + 117 = 7*u - 93. Let b(v) be the first derivative of -294*v - 19 - 21*v**2 - 1\/2*v**u. Suppose b(h) = 0. What is h?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 360 by -2.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(3744) + sqrt(3744) + (-1*sqrt(3744) - sqrt(3744)))\/sqrt(2) + 0)**2 + -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 2:47 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1\/8, -3\/17, -0.04?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 4:21 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.09, -0.1008, 1 in ascending order.\nAnswer: -5, -0.1008, -0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kdhz when four letters picked without replacement from {z: 1, k: 1, h: 2, d: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 3*y**2\/2 + 27987*y\/2 + 27981 = 0.\nAnswer: -9327, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -11*m + 1. Let h be v(1). Let k be (165\/h)\/(2\/(-4)). Suppose -3*j + k - 6 = 0. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 (base 11) in base 6?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 9:13 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2613113 + 624?\nAnswer: -2612156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/(6 + (-4 - 1)). Let s(n) = -n**3 - 14. Let u be s(0). Let j be u\/(-270) + 2\/(-10). Is r >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42430 - 23256. Let m = u - 958577\/50. What is the common denominator of m and 99\/70?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -193674 and 207?\nAnswer: -40090518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 123\/10 and (-1131)\/1334*1\/9?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 56 - 32. What is the smallest common multiple of t\/14*7\/2 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 20, 70, 172, 344, 604, 970?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/23)\/a)**(-14)*(a*a\/(a*a**(-5\/2)))\/(a\/(a\/(a**(2\/67)*a))) assuming a is positive.\nAnswer: a**(52637\/3082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74617941 is divided by 4513?\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6279 and 8925.\nAnswer: 2668575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 86\/47 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 7*i**2 + 2*i - 6. Does 17 divide k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 88\/4096395 and -163\/2610.\nAnswer: 8192790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 + -32?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-4 - 1 - -3). Solve 15 = n*v - 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 + 84\/36)*(2 + 68\/(-4)). Let l = 19.6 - 20. What is the nearest to 1 in l, -3\/2, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34119 divided by 9?\nAnswer: -3791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -1. Let p = f + -1. Find the third derivative of 3*d**4 + 1 - 2*d**p - 4*d**4 - 1 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.47, -1\/20078, 0.3?\nAnswer: -1\/20078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) + 2)**2*-2.\nAnswer: -96 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7497 = 3*v + 4*v. Let g = v - -2024. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 229102027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 358 + 205 = 2*p - 5*y, 0 = 3*p + 4*y - 810. Let o = p + -3012\/11. Let u(w) = w + 3. Let s be u(-5). Are o and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1205.0487 microseconds?\nAnswer: 0.00000033473575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -719*i + 0 + 684*i + 2 + (-1 - 1 + 4)*(i - i - i).\nAnswer: -37*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0036138592 to five dps.\nAnswer: 0.00361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*r*u**3 + 183130*r - 23987581*u**4 with respect to u.\nAnswer: 15*r*u**2 - 95950324*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 = -3*t + 97. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.211 times 29173.4\nAnswer: 6155.5874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -0.4  (b) 0.9  (c) -3\/10  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 390, 1453, 3224, 5703, 8890, 12785, 17388?\n\"Answer: 354*a**2 + a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5482*l**6 - l**5 + 14*l**3 - l**2 - l - 112708.\nAnswer: 657840*l**3 - 60*l**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 9) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j**0*j*j**(-1)\/j)**(-1\/25) assuming j is positive.\nAnswer: j**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 34*u + 5 - 17*u + 5 + 6.\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**4 + 14*r**3 + 2*r**2 - 14*r.\nAnswer: -2*r*(r - 7)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -6. Suppose 1 = 2*o - x. Let a be o + 1\/(-6)*4. What is the nearest to 0.1 in a, -2, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 7)*-1 - ((-3584)\/(-64) - 5*2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k + 8. Suppose -3*o + 2*n + 46 = 2*o, -2*n = -4*o + 38. What is the lowest common multiple of h(7) and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 34\/5 of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 10 - 17 - (-13 - (-3 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, -152, -2, 3 in decreasing order.\nAnswer: 3, 2, -2, -3, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*h**2 + 5*h - 30*h**2 + 103*h**2 - 11*h - 31*h**2 to the form i + y*h + s*h**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36111, -72310, -108525, -144762, -181027?\nAnswer: -217326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 39, 39, 35, 27, 15?\n\"Answer: -2*v**2 + 6*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -7*h - 214 + 247, 2*h = -2 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 250101749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 571 a factor of 164813274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6051171649.384718091987 + -207676.615280798013. Let v = j - -6051379102. Let x = 224 + v. Round x to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 5, 0, -3, 0.3, 0.02, 6381?\nAnswer: 6381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20 by 15893.\nAnswer: -20\/15893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -32. What is the smallest common multiple of u and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -36*n**3 - 803*n**2 - 231*n + 219. What is b(-22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9.5 - 10. Let f = -1 - j. Let a = -0.5 + f. Put a, 0.2, -1\/2 in decreasing order.\nAnswer: 0.2, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*j - 2059 + 971 = 0. What is the remainder when j is divided by 47?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-15)\/(s**(-16)\/s) assuming s is positive.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000707 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + (8 - 6) - (0 + -11). Suppose u + u - 4*i = t, 2*u - 2*i = 12. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010230 (base 4) to base 9.\nAnswer: 6024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 (base 16) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 1\/136, 203, 2 in decreasing order.\nAnswer: 203, 2, 1\/136, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4361838 rounded to 2 dps?\nAnswer: 2.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 32*g**3 - 9*g**2 - 57*g + 344. What is the least common multiple of b(5) and 3834?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -402991 divided by 8.\nAnswer: -402991\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (60\/40)\/(-1 - 37\/(-34)). Let d(i) = 4*i**2 - 17*i + 28. Is d(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 40, 41, 42, 43?\n\"Answer: m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*l = l, 2*l = 2*p. Suppose 2*s + 11 - 19 = p. Solve 5*w + 1 = -s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q - 7*k = 3*q - 27, -4*q + 48*k + 47*k = 91*k + 36 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 92, 418 in descending order.\nAnswer: 418, 92, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y - 1. Let c(a) = -a**2 + 14*a - 3. Let l(z) = -c(z) + 6*h(z). What is l(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*p**3 + 5*p**3 - 3*p**3 - 7*p**3 - p to the form x*p**3 + g*p**2 + w*p + s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 - (13 - 25) - -49?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 4 = 2*g - d, -3*d = 0. Let s be ((-4)\/(-4))\/(1\/1). Let h = s - g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3450 is divided by 572?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4579.98 + 4580. Let l(z) = z - 5. Let r be l(4). Let u be (3\/r)\/((-28)\/(-4)). What is the nearest to f in 0.4, u, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6577 + -850675.\nAnswer: -850675.6577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 193613808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbabajaabaj. Give prob of sequence ajba.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**3 + 11388*x**2 - 56840*x.\nAnswer: -4*x*(x - 2842)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 0. Let x = 10 + -12. What is the closest to 0.2 in 5, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -52*r**3 + 18984*r**2 - 1458*r - 727. What is f(365)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 + 18*q**2 - 59*q + 237. Calculate the least common multiple of p(9) and 1653.\nAnswer: 8265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -3\/275  (b) 0.2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*b + 3016 = -355*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/588867 and -71\/61986.\nAnswer: 1177734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3a6b8757 + -5?\nAnswer: -3a6b8760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.306655 millilitres to litres.\nAnswer: 0.007306655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4046 (base 10) to base 12.\nAnswer: -2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*s - 14 = -5*i + 39*s, 1 = 2*i + s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w + 13 + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of -i**3\/3 - 2*i**2 - 5. Let g be o(-4). Let v(a) = -a - 3. Calculate v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 633331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 0)*(-5*q**2 + 3*q**2 + 0*q**2 + (-4*q - 8*q + 7*q)*(-q - 2*q + 2*q)) as x*q**2 + o*q + g and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + w = 16, 5*w + 11 = -i + 3*i. Let x = i + -14. Put 5, -5, x in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from clcyndcollycnll?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1062 or -20188\/19?\nAnswer: -1062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 5*j**2. Let l(w) be the first derivative of 2*w**3\/3 - 2*w**2 + 863. Determine q(l(a)).\nAnswer: 20*a**4 - 80*a**3 + 80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, -16, 0, 38, -7 in descending order.\nAnswer: 38, 3, 0, -1, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -9412\nAnswer: -28236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(684) + -2.\nAnswer: -12*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 2 k when four letters picked without replacement from kkjwkjjkw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 432*q + 3752 - 3752 in the form d*q + n and give d.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.52 - -25.48. Let y = 29 - k. Which is the biggest value?  (a) 2  (b) y  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 50656 = -3*c, 3*c + 6*j - 50641 = 7*j. Does 85 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - -4. Suppose -g = p - u, 4*p = -g + 9 + 6. Let l(x) = -5*x**2 - 3*x - 1. Let q = 13 + -5. Let r(w) = 14*w**2 + 8*w + 2. Calculate g*r(y) + q*l(y).\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1957 + 77)*(-3)\/9. Is m equal to -676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 759 = 694. Solve -100 = -5*j - c for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 421*q + 64 - 41 - 23.\nAnswer: 421*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 322 a factor of 1064210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 407547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*a**2 + 97*a**2 - 2*a - 42*a**2.\nAnswer: 34*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5\/2 + 11\/4. Let z = -114 - -114. Let d = z + -0.06. What is the second biggest value in -1\/4, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31658*a + 7860*a + 7632*a + 7844*a + 7681*a.\nAnswer: -641*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 - 26*a - 24. Is u(-13) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 84*z**2 + 5*z + 3. Give g(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y*y*y**(-2\/15)*y*y*y*y)\/y)**31\/(y\/((y*y*y*(y**(-17)\/y)\/y)\/y)*((y**(2\/23)*y)\/y*y)\/y) assuming y is positive.\nAnswer: y**(56504\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of h**4\/9 + 32*h**3 - 584*h**2\/3 - 3714*h + 2. Factor c(q).\nAnswer: 4*(q - 2)*(q + 146)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -5*z - 19, -2*s + 13 = 10*z - 13*z. Solve -10*h = -8*h - s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 + 4*x**2 + 5*x + 5. Let g be n(5). Solve o = g*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 61 + -63.695. Let k = 0.005 - j. Let b = k + -2.7052. Round b to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 91504026 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 183 at least -2\/5061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aagrrraara. Give prob of picking 4 a.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (75\/(-6))\/(5\/(-190)). Let i = -318 + a. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*i**2 + 19*i**2 + 21*i**2.\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (0 - 7)) + (-5 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - u + 4*u - 14 = 0, -3*z = -2*u - 34. Suppose -7*d = -z*d - 12. Put 3, d, -3 in increasing order.\nAnswer: d, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92556*v - 17522*v - 538892*v - 345412*v.\nAnswer: -994382*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or 79\/2107?\nAnswer: 79\/2107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 3*z - 14771, -z + 10650 = j + 3282. List the prime factors of j.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 10:56 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7\/9?  (a) 0.16  (b) 4  (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j\/j**(-3\/7))\/j)*j*(j**(-1\/32)\/j)\/j*j\/(j\/j**(-12))*j**3)**26 assuming j is positive.\nAnswer: j**(-27547\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u**3 - 41*u**2 - 47*u - 856. Determine c(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is 1663530.24 rounded to the nearest 100?\nAnswer: 1663500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -2\/7  (b) -2  (c) -18  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 7c4 (base 13) to base 7\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -8\/9*i - 8\/9 - 2\/9*i**2 = 0. Calculate i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 897\/81 + 4\/(-54) - 8. Let x(s) = -s**2 + 7*s - 6. What is x(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*d - 524192 = -78233. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 226970 divided by -16.\nAnswer: -113485\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*n - 2*n + 2*n + 42*h - 46*h - 90, 5*h = -105 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qmqb when four letters picked without replacement from {m: 2, q: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**(-8\/7)\/x)*x)\/x**(-12) assuming x is positive.\nAnswer: x**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1254*a**2 + 5 - 5 - 1227*a**2 to the form x + y*a**2 + u*a and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -29  (b) -1\/2  (c) 19  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 234 divided by -13?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 equal to -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 75, 171, 289, 429, 591, 775, 981?\nAnswer: 1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 - 24. Let v = -164 - -174.68. Let f = i + v. What is f rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7203b6 (base 13) to base 12\nAnswer: -a81625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370*q = -2*s + 369*q - 5, 3*q - 5 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57167 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6589132 and 4080?\nAnswer: 395347920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c5 - 7a4?\nAnswer: -4ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/61936 and -191\/33180.\nAnswer: 929040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -130 * -46\nAnswer: 5980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 536520769?\nAnswer: 269, 1994501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.0672758208 - 19.0672751608. Let b = j - -19. What is b rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -d5a (base 15) in base 4?\nAnswer: -233002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 67 = -1. Suppose 7*m - q = 4*m. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -19 + 20*u + 19 - 1. Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 378?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 6*o**3 + 2*o**2 - 4*o + 6. What is the remainder when l(2) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/w**(-2))**18*w**(-3\/13)\/w**(-5) assuming w is positive.\nAnswer: w**(998\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/2 of a millimeter in micrometers?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 3*r + 120, -5*d + 4*r = -44 + 163. Is -28 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002789942096 rounded to 6 dps?\nAnswer: 0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + (sqrt(208) - sqrt(13) - sqrt(13))*-4 + sqrt(468) + sqrt(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 8968*q - 2740. What are the prime factors of p(4)?\nAnswer: 2, 3, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -3*g - 4*j - 100, 0 = 5*j - 20. What are the prime factors of 4897*(-3)\/(-24) - (-5)\/g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 5 + -1*(sqrt(700) - (3 + -1*sqrt(700))))**2.\nAnswer: -400*sqrt(7) + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 6. Let c(h) = h**3 - 5*h**2 + 4*h. Let o be c(4). Suppose o*z + g = z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(200) + sqrt(200)*-1 + sqrt(200) + sqrt(200) + sqrt(200))*-2)**2 - sqrt(200))*-3 - (-5*(0 + sqrt(200))*-3)**2.\nAnswer: -66600 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2 = -2, 0 = 4*m + u - 302. Let c be ((-76)\/3)\/((-572)\/2145). What is the greatest common factor of c and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1404 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 21, 19, 1, -39, -107, -209?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -218, -852, -1904, -3380, -5286, -7628, -10412, -13644?\nAnswer: -17330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 < -2534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3724 and 3018050.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 6:10 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 8*x**2 - 31*x + 7. Let k be r(4). Solve 2*o - 5*c = 21, -o + 6*c - 27 = k*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 p, and 2 i when four letters picked without replacement from {d: 1, p: 6, i: 5, f: 6, w: 1}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 229597908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 5 + 25. Let i = g - -7. Differentiate -u**3 - u**3 + 3 + u**i wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 2 + -8 + 59 + -16.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 34460 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 625 - 104. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 113322113 - -1?\nAnswer: 113322120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/((-44)\/(-33)*(-6)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s - 7. Let q be j(7). Suppose 5*k - 4*n + 4 = 2, 4*k - n - 5 = q. Suppose 0 = -i + 3, k*d - 19 = -5*i. Solve d*o = 5*f + 24, -o + 3 - 1 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/7, 198, -7, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/56, -1583, -2?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 110*l - 12)*(-4*l**2 + 4*l**2 + l**2).\nAnswer: 110*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7504769*j**2*p**5 - j**2*p**3 + 4*j**2*p**2 - 3*j*p**2 + 4367837*p**2 wrt p?\nAnswer: 450286140*j**2*p**2 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -245 = -5*s - 3*h - 1019, 2*s + 315 = -3*h. Which is bigger: -114 or s?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27214194 is divided by 413?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 + 14. Let j = k - -13. Let s = 30137 - 30105. What is the least common multiple of s and j?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1385771 (base 10) to base 13.\nAnswer: 3969aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 488*x = 499*x - 88 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-10))\/((-1)\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**0)\/k**(1\/3))**(19\/5)\/((k\/k**(-2\/7)*k)\/(k*k**(3\/4)\/k)*k*k**(-1)*k*k**(-2\/15)) assuming k is positive.\nAnswer: k**(11\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, -2, -28, -74, -146, -250, -392?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 726, 1279, 1818, 2337, 2830?\n\"Answer: -k**3 - k**2 + 563*k + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*t**2 + 3*t**2 - 2*t**2)*(-3*t + 5*t + 0*t) + 44*t**3 - 26*t + 26*t to the form o*t**3 + s*t**2 + j*t + i and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 4*x**2 + 6*x + 3. Suppose 11*c + 8 = 9*c. Let g be s(c). Let y = g + -21. 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 next in 119, 471, 1059, 1883, 2943?\nAnswer: 4239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-17)\/c**16)**(2\/47) assuming c is positive.\nAnswer: c**(-66\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*l - 20 = -92*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(405)*5 + sqrt(405)*2*-4 - ((sqrt(405) + (sqrt(405) + -3 + sqrt(405) - sqrt(405)) + -2 - sqrt(405)) + sqrt(405) - (-3 + 3*sqrt(405))))**2.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 + 5*g + 16 - 4*g)*(121 - 7 - 13).\nAnswer: 101*g - 909","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-112)\/80)\/(210\/(-975))*4\/7?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -0.1, -21, -0.3, -0.03, -0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of l**5\/60 + l**4\/24 + l**3\/6 - 382*l**2. Calculate c(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20367*c = -19272*c - 98550 for c.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2242*j - 122 + 78*j - 768 - 1656 with respect to j.\nAnswer: -2164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-65067)\/1058)\/((-6)\/(-8))*((-15)\/5)\/6?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1759065 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 10:00 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3\/7, -4, 473, -14, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o + 8. Let f(s) = 3*s + 15. Let n be f(-5). What is q(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l - 5. Let h(g) = g. Let w be h(-4). Let k(d) = -d + 6. Let z be (-3)\/15 + 54\/(-5). Let c(m) = -m - 16. Let o be c(z). Determine o*y(i) + w*k(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 10*r + 11*r + 69 = 0, u = -22*r + 21*r - 64 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86726 is divided by 245?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1299953 + 0.13. What is d rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 14914*n - 45. Is i(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 3 + (-411)\/(-3). Let q be (z + -2)\/(2\/47). Suppose 3*f + 4*w = -f + q, -f + 801 = 2*w. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 16*f - 8. Let t(u) = -5*u + 3. What is 11*t(q) + 4*z(q)?\nAnswer: 9*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -104, -11953\/8, 1\/2, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 190*k**3 - 386*k**3 + 14*k**4 + 194*k**3 + 2*k**2 in the form r*k**3 + b*k**4 + p*k + q*k**2 + z and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 243 and 52308.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 40 = 6*v. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 6*a**2 + a - 4. Let g(f) = -7*f**2 - f + 3. Calculate -3*g(k) - 4*u(k).\nAnswer: -3*k**2 - k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -7 - 8. Let q(k) = k**3 - 5*k**2 + 3*k - 6. Let l be q(j). Factor 2 - 4*u**3 + 7*u - 3*u**3 + l*u**4 + u**2 + u**2 - 13*u**2.\nAnswer: (u - 1)**2*(u + 1)*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3675 smaller than -73513\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b + 5. Let u(h) = 4. Let l(w) = 4*r(w) - 4*u(w). Let o(s) = -s + 1. Determine 2*l(c) - 6*o(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 71633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 9:58 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -2*s, 3*s = -x + 42. Let j = x - 41. Sort j, -4, -3.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 + 432 = 57*z + 134. Let s(j) = -j**3 + 8*j**2 - 9*j + 8. Give s(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6636481 is divided by 22270.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 3*n - 2 - 2, -n - 5*z = 6. Let v be 26 - (-8 + n) - 0. Suppose 2*t + 15 = -3*j, 3*t + 5*j + v = 6. Sort 1\/5, t, 5 in descending order.\nAnswer: 5, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 350656 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/2)\/((112\/(-1120))\/(7\/(14\/20)))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 4*h + 159, 5*h = 3*l + 4*h - 521. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-17)\/(-34)*24\/1. Suppose 5340 = a*d - 2*d. What are the prime factors of d?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -3*y + 4*b + 7, -5*y - 5*b - 15 = 0. Suppose -y*i - 2*i = -392. Let p = 405 - i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 28623945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 348380 is divided by 1218.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -1 + 1 - 1. Suppose 0*b = b + 4*x + 6, 0 = -3*b + x - 5. Let n(w) = -w + 11. Let p(z) = b*n(z) - 18*r(z). Determine p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -4*n + 5. Suppose -71 = -21*p + 34. Suppose p*h - 3*a + 148 = 423, 0 = n*h - a - 220. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 21.6.\nAnswer: -6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/(2 + -5))\/(-1). Suppose 30 = 2*i - v + 5*v, -v + z = 0. What is the common denominator of 99\/10 and ((-2)\/(-6))\/((-6)\/i)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(77) + (sqrt(77)*-5 - sqrt(77))))\/sqrt(11) + 4.\nAnswer: 4 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 99566101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*v + 2135 = 2655 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3078, 3096, 3114, 3132, 3150?\nAnswer: 3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 13*h - 28 = 0. Let j = -12 - -6. Let f be (j\/(-21))\/(4\/28). Is f greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1330 - -113031?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 129 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r = -r - 1968. Calculate the least common multiple of 2 and r.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4696225?\nAnswer: 5, 37, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 33415521 (base 7) to base 3\nAnswer: 12110002102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*k**3\/4 + 2679*k**2\/2 - 176505*k + 6049050 = 0. Calculate k.\nAnswer: 70, 1646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 less than -10086477169?\nAnswer: -10086477169.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 27 = o, o = 2*y - 3*o + 8. Let q be (6\/10)\/((-2)\/y). Suppose q*w - 29 = 61. What is the remainder when 57 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.22  (b) 22.67  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1099500 divided by 1?\nAnswer: -1099500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a**2 - 3*a - 2392. Let i(h) = 2*h**2 + 2*h + 2393. Let m(u) = 3*i(u) + 2*z(u). Is m(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2959)\/1076)\/((-4)\/(-48)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*h*k**2 + 91140*h*k - 9190208*h*q + 2*h - 3*k**2*q + 16*k**2 - 2 wrt q.\nAnswer: -9190208*h - 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3*(12\/(-90))\/((-24)\/10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2137 - 2128. Calculate the remainder when 126 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 15, 2*i - 18 = -0*l - 4*l. Suppose m + i = 30. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -27. Let b(d) = -10*d - 3. Let h be b(-1). Let v be 591\/h - (-24)\/42. What is the highest common factor of l and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*v**4 + 274632*v**3 + 36*v**2 - 74701161 wrt v?\nAnswer: -8*v**3 + 823896*v**2 + 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00152406 rounded to five decimal places?\nAnswer: -0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 161*y + 240. What is the thousands digit of i(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 36 = -3*f - 3*o, -2*f + 12 = -2*o. Suppose 5*j = 4*c + f, j = -2*c - 2*j + 23. What is the smallest common multiple of c and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/7*(-13)\/(-2). Let l(g) = g**3 - 14*g**2 + 21*g + 5. Let n be l(12). Let h = 28 + n. Which is bigger: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -i*z**2 - 217898806*i - 8*z**2 - 1539793 wrt i?\nAnswer: -z**2 - 217898806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 6. Suppose 7*c + 7*c - 28 = p. Solve 3*k + 3*h = k, -5*k = -c*h - 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-2\/107)\/f*f\/f**(-41) assuming f is positive.\nAnswer: f**(4385\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of 43695750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.4 - 3.6. Let g = s + 7. Let z = -9 - -6. Put -2, z, g in increasing order.\nAnswer: z, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that c**5\/7 - c**3 - 6*c**2\/7 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19065005, 76259991, 171584967, 305039933, 476624889, 686339835, 934184771?\nAnswer: 1220159697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15?  (a) -0.9  (b) 4\/7  (c) -2  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 13*c - 15. Let y(l) = 20*l - 23. Let w(b) = -7*q(b) + 5*y(b). Find the first derivative of w(k) wrt k.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -473\nAnswer: -2\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -l + 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((4 + (sqrt(500) + 1 - sqrt(500))*2*3)*5)**2 + -2 + 2.\nAnswer: 2505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -9 + -13 + (5 - -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1 - (21\/3 - 3345 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 362 = -w + m, -4*w + 286 = -2*m. Suppose 717*h - 65 = 712*h. What is the remainder when w is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19720 + -19585. What is the remainder when a is divided by 81?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 216691224 divided by 4\nAnswer: 54172806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 511 is divided by 91?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98*u**3 - 9*u**3 + 284*u**3.\nAnswer: 373*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 57355.00002 - 57353. Let g = 2 - f. What is g rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -98457\/20 + 4924. What is the common denominator of 2 + ((-394)\/40 - -2) and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 0*a + 4 - 49 + 2*a.\nAnswer: 2*a - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2147978.\nAnswer: 2, 7, 153427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of b**3*g + 2*b**3*u + 3008*b**3 - 50*b**2*g*u - 44*b*g + 4*g*u wrt b.\nAnswer: 6*g + 12*u + 18048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8229 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -1829?\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 112599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1420500 to the power of 1\/2, to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + c**2 + 11*c - 20. Let v(j) = 5*j**3 + j. Let t be v(-1). What is the remainder when (-4)\/t + 76\/3 is divided by q(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3373 = 5*q + 4*l, q + 2*l + 683 = 2*q. Let c be 4\/16*-2*(1 - q). Let s = c - 228. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*l = 52 - 833 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 + 5202664*k + 5202668.\nAnswer: -4*(k - 1300667)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142066 is divided by 5737.\nAnswer: 4378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/14)*b**(-5)*b*b*b)\/(b**(-4\/11)\/b**(2\/11)) assuming b is positive.\nAnswer: b**(-235\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/741 and 47\/21.\nAnswer: 5187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of m**2 - 2*m + 0 + 1\/3*m**3. Let w be 2*1\/(-4)*796\/199. Calculate f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 71.6  (c) -3  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.01, -4\/13, 1\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/507 and -49\/11934.\nAnswer: 155142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -551*s + 22. Let c be o(0). Put 3, c, 2 in increasing order.\nAnswer: 2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/667 and 36\/115.\nAnswer: 3335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**3*s**3 + 6057*c**3*s**2 + c**3*s + 334*c**2*s**3 + 248*c**2*s**2 wrt c?\nAnswer: 6*s**3 + 36342*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -2*a**3 + a**2 - 8*a + 7. Let k be h(4). Let j = k + 241. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*5\/525 + (-2)\/(-7)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 492 divide 4400448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 136 - 94. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqqmmmqmmmmhgmm. Give prob of picking 2 q and 1 h.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 69234121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hehe when four letters picked without replacement from heeeeshsesh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 321*s**3 - 422 wrt s?\nAnswer: 963*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(-3)\/219*(2 + 0). Let s = x - 128\/657. Let p be -2 - ((-8)\/3)\/1. What is the closest to s in -3, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 - -2 - (7 + 3 + 2 + -8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-230)\/(-15042))\/(((-105)\/56)\/((-126)\/(-56)))\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -7 - (-60)\/9 - (-10)\/3. Let v be i\/(-12) - 200\/(-32). Solve v*y - w = 4*y + 2, -3*y - 5*w + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 z when three letters picked without replacement from tttttzzttzt?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.02 + -0.22. Let f = 1.2 + w. Let y = 0.413 - 0.613. What is the closest to -3\/7 in f, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9626, -9628, -9632, -9638, -9646, -9656, -9668?\nAnswer: -9682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((4*(sqrt(153) + sqrt(153) + (1*sqrt(153) + sqrt(153) - sqrt(153))))\/((sqrt(90)*-4)\/sqrt(10) - sqrt(9)))**2.\nAnswer: -4896\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 1:23 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 46 - -5813?\nAnswer: 5860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 75, 0, -2 in ascending order.\nAnswer: -2, 0, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 10. Let g = q - -10. Let u = -15 + g. Which is the second biggest value?  (a) 0.3  (b) 1\/4  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24936 + -23085. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/6)\/((-8)\/(-60)*-5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/6*1578\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 - -5 - -3 - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -222119 and -6?\nAnswer: 222113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (5 - 2) + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 910334519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000417397234 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1731860215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 37842 from 64.\nAnswer: -37778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {j: 2, h: 5, x: 3, s: 3, w: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25.094 - -22.4. Let x = 3.62 + a. What is x rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 - 35*l**2 - 38*l - 118. Give r(-34).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*l - 4*l - 4*l as s*l + g and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1155 (base 7) in base 16?\nAnswer: -1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -16412.913 to the nearest 100.\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16016 and 7436.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n**3*t**2 + 7727*n**3 + 3*n**2*t**2 + n + 38653*t**2 - 4*t wrt t.\nAnswer: 2*n**3 + 6*n**2 + 77306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + i + 513. What is the units digit of y(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -9 - 792\/(88\/(-4)) - -23?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1969 and 1070 + 20 + -4 + -12.\nAnswer: 11814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 25*i**3 + 44205*i**2 + 19545240*i + 3907280 = 0.\nAnswer: -884, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 6*q + 114. Let g be i(-18). Let t(j) = 7*j**2 - 14*j. Let h(z) = -z**2 + z. Let f(c) = g*h(c) + t(c). Determine f(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 18, -4 in decreasing order.\nAnswer: 18, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 + (7\/2)\/(7\/12) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*a - a - a)*(370 + 475 - 243)*(4 + 0 - 2) to the form v + g*a and give g.\nAnswer: -4816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*h**2 + 9 + 40 + 19 + 5*h**2 to the form f*h + b*h**2 + s and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 289.6596cm to kilometers.\nAnswer: 0.002896596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 9 = -1. Suppose -h*q + 303 = 3*j + 28, 2 = 2*q. What is the highest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, f: 1, h: 1, u: 1}. Give prob of picking 2 t and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5899928560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-3) - (-372697)\/52. Let f = c - 7180. Calculate the common denominator of 1\/6*118\/(-5) and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 207*d**2 - 35*d - 87. Calculate the smallest common multiple of n(-3) and 209.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1597 is divided by 530.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, f: 1, a: 3, x: 1, o: 3}. Give prob of sequence jxja.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -0.4  (c) -3  (d) -0.0338  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of 2*n**2 + 4 - 3*n + 1\/6*n**3. Let v(j) be the first derivative of z(j). Determine v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/(-36) - (-160)\/72. Suppose q - 14 = c*u - 18, 5*u + 2*q = 10. Solve 0*y + 0 + 0*y**u - 2\/3*y**3 + 1\/3*y**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(2\/51)*h)**(3\/19)\/(h**(-3\/11)*h)**44)**(-2) assuming h is positive.\nAnswer: h**(20472\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5.187*-0.02\nAnswer: -0.10374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 14022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 920, 2, 2.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 2, 7475.45, -4, 0.4 in increasing order.\nAnswer: -6, -4, 0.4, 2, 7475.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/((70\/(-21))\/(-5)))\/(12\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-510)\/20*144\/(-189108)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18888435 and 235.\nAnswer: 887756445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 6:20 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -428*r**5 + 2*r**2 - 18*r wrt r?\nAnswer: -8560*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 50867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -3*y**3 + y. Let k be p(-1). Let r(u) = 0 + u**k + 9*u + 3 + 7*u**2 - u**3. List the prime factors of r(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 70 - (21 + -13 - -27)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7657992 and 6570?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-199*d**3 - 474*d**2 - 87*d**3 + 474*d**2)*(0*d**2 + 5*d**2 + 2*d**2)*(-3 + 4 + 0).\nAnswer: -2002*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f**2 + 1262365*f*x**3 - 7657983*x**3 with respect to f.\nAnswer: 6*f + 1262365*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 727846139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k + 464. Let w be z(0). Suppose y - t = 210, t = 2*y - 112 - 311. Let v = y + w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 5:59 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11903372 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169*u = 160*u + 27. Let z(j) = -j**2 - 6*j + 2. What is the remainder when z(-4) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 4. Suppose 0*m = z*m - 96. Let h be m\/9*(7 + 2). What is the greatest common divisor of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-3) - (-70)\/15. Let s be 18\/15*q\/2. Suppose -2*x + s = -5. Solve -x - 8 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -302\/21 - -44\/3. Let o = -215.7 + 215. Let c(j) = -49*j + 632. Let y be c(13). Sort o, y, q in decreasing order.\nAnswer: q, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001868092 to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 186 + 3624 = 15*s. Is s bigger than 254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 38*f**5 - 679*f**3 - 1156*f**2 + 327 wrt f?\nAnswer: 2280*f**2 - 4074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 43*x - 75. Give b(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, -332, 122 in ascending order.\nAnswer: -332, -23, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 456*u + 147\/5*u**2 + 2160 + 3\/5*u**3 = 0?\nAnswer: -20, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -4 - 8 + 5 + 5*v**2 + v**2. Let n(z) = -3*z**2 + 4. What is 11*n(s) + 6*x(s)?\nAnswer: 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1185 and 1817?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 12 = 0, 4*n + 864*w = 901*w + 160 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(19) + 0 - sqrt(19)))**2 - (1 + sqrt(19) + -3)**2.\nAnswer: -23 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, 7.5, -1\/16, 1, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 5  (b) 4  (c) -12324  (d) 1\/2  (e) -0.5  (f) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of f**2*r**3 + 5*f**2*r**2 + 9*f**2*r + 159*f**2 - 8*f*r**3 + 10*f - 7*r**3 - 13*r**2 wrt f.\nAnswer: 2*r**3 + 10*r**2 + 18*r + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*i**3*r**2 + 182*i**3*r - 2*i**3 + 3*i**2*r**3 + 11*i*r**3 wrt r.\nAnswer: 6*i**3 + 18*i**2*r + 66*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -1 + 4 - 4*r + 2*r + 7*r. Let z be g(-4). Let k = -5 - z. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 1 - 9. Suppose -6 = -4*y + 2. Let c be 8\/y + 4 + d. Solve 3*z = -4*i + c, -2*i = i + z - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (24\/15)\/(-4 + 5754\/1435). Calculate the highest common divisor of j and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 59 + -19. Let c = s - 28. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-60)\/10 - 90\/(-4 - -1). Calculate the greatest common factor of 96 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 201 + -197. Let a = 21 - 15. Suppose -9*j + a = -6*j. Solve -2*g - j*v = -2, 2*v = -g - 0*v + l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3675 * -19118\nAnswer: 7025.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007375122 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 2*w - 2*w)*(0*w**2 - w**2 + 0*w**2)*(2 + 5 - 3).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(10)\/(-4*sqrt(125)) + 3 + sqrt(8) + (sqrt(10)\/sqrt(5))**2*4.\nAnswer: 23*sqrt(2)\/10 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -136, -164, -224, -328, -488, -716?\n\"Answer: -2*h**3 - 4*h**2 - 2*h - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(-2\/13)\/w)*w**(-2)\/w)**(8\/7)\/(((w**(-4\/7)\/w)\/w)\/w*w*w**(-8))**1 assuming w is positive.\nAnswer: w**(874\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1266 or -1252?\nAnswer: -1266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47 - -46. Sort 11, 2, i in increasing order.\nAnswer: i, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2291*z**5 + 3792*z**5 + 2703*z**5 - 2830*z**5)*(-6 + 2 - 1).\nAnswer: -29780*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*f + 33*f + 868 = 43*f. Solve -18 = 2*i + 16*c - f*c, -3*i = -c + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -221?\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + p**2 + p + 4. Let m be (1 + -1)\/(-3 + 4). Let z be l(m). Suppose -4 = z*j + 4. Are -3 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2216*u + 64260. What is o(-29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3534601469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7012800 and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 780362 divided by -158\nAnswer: -4939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 1 - (-5 + 0 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1014934.59 nanoseconds in days?\nAnswer: 0.000000011746928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 5*c - 725 = 0, 2*x - 67 = -c + 1338. Suppose 24*i - 3748 + x = 0. Calculate the remainder when i is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8.82 and 0.5.\nAnswer: -4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m**3 + 352*m - 352*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**3\/4 - 2232*d**2 - 6860007*d\/4 - 160527675\/2 = 0. What is d?\nAnswer: -1463, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*k + 1682*k**2 - 849*k**2 + 4*k - 5*k - 849*k**2 - 32 in the form n*k + y + r*k**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34 + 46. Suppose -i = -x - 5*i - 13, 0 = 3*i + j. What is the second derivative of 0*d**3 + 4*d**x - d - 21*d**3 wrt d?\nAnswer: -102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = 24, -l + 52 = -5*t + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 29269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15.4 + 0.6. Let x = -16.77 + p. What is x rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 + 2)*(4 - 4 - 2)*(-3 - 35 + 6)*(133 + 8*p - 133) to i*p + f and give i.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/11)\/c**(-1))\/(c**5*c*c**(-5)*c))\/((c\/(c\/c**(1\/9))*c)\/c*(c**(-7)\/c)\/c)**(-1\/33) assuming c is positive.\nAnswer: c**(-431\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7119299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 274, 2190, 7382, 17488, 34146, 58994, 93670?\n\"Answer: 273*o**3 + 5*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*l + 5*b + 36 = 0, 15*l - 3*b = 14*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from gggguugggug.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 67 = -4*z - r, 2 = -r. Suppose -5*u + z = -2*m, -7 = -4*u - m - 0*m. What is the third derivative of 2*g**2 + g**u - 13*g**4 + g**4 wrt g?\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13 and 127?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(6\/(-5))\/(11\/330*4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -9*o + 66 + 0*o**2 + 3\/2*o**4 - 7\/3*o**3. Let i(m) = 7 - 3*m**3 - 3 + 0*m**3 + 3*m**2. Give 9*i(d) + 4*n(d).\nAnswer: -3*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 6*c + 11 = -c, -m = -2*c + 4. Find the second derivative of 8*q - 23*q + 14*q - q**m wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*m - 4*u, -3*m = -4*m + 2*u - 4. Suppose -j - m*j = -20. Calculate the least common multiple of 7 and (-10)\/15*(-42)\/j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/4*b**2 + 273\/4*b - 93\/2.\nAnswer: 3*(b + 31)*(3*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/3 - (-7)\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64, 33, 464, 1397, 3000, 5441, 8888?\nAnswer: 13509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 42, 90, 138, 186, 234?\n\"Answer: 48*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10 and -0.27.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1167516 by 583758.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*c + 45 = 26*c, 3*o - 34290 = -5*c. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2 + sqrt(125) + -1.\nAnswer: 5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.5 + 1. Let d = 3 - 4. Let c = 1 - 0.8. Put n, d, c in increasing order.\nAnswer: d, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2656460, -10625832, -23908126, -42503348, -66411504?\n\"Answer: -f**3 - 2656455*f**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6288, -12577, -18866, -25155, -31444, -37733?\nAnswer: -44022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((56\/(-21))\/(679\/(-1746)))\/(1*(-6)\/(-21)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 50. Let a(m) = 6*m - 449. Let h(p) = a(p) + 9*z(p). Let b(v) = 2*v**2. Determine b(h(j)).\nAnswer: 72*j**2 + 24*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -76 + 73. What is the closest to -1\/2 in -0.2, s, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45320 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*j**2 - 35*j**2 - 10*j**2 - 11*j**2.\nAnswer: -46*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/10896 and -137\/13056.\nAnswer: 2963712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 83032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-8 - -3)*(484\/(-8))\/(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*w + 6*w - 4*w)*(-5*w + 5 - 5 + (4 - 2*w - 4)*(3 + 0 - 2) - 2 + w + 2 + 3*w - 3*w - w).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1207411206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -6082.778099 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/1980 and 97\/11880.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1*-2*((-789)\/72 + (-5610)\/(-510))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -7049137.\nAnswer: 704913.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1121 - -5?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**6)**(3\/11)\/(z\/(z*z**(-5)))**25 assuming z is positive.\nAnswer: z**(-1357\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 58*o - 2. Let w(a) = 175*a - 7. Give -8*d(j) + 3*w(j).\nAnswer: 61*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 5 - 2 + t - 5. Let n be z(6). Suppose 0*a - 28 = -n*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-2 - -2) + -1 - 7 - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c1 - -3?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24792.\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, 17, -4, -2, -235 in ascending order.\nAnswer: -235, -4, -2, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of v**6\/120 + 125*v**2. Let h(i) = 6*i**3 + 9*i**2 + 7*i + 5. Let l(w) = 5*g(w) - h(w). What is l(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8 - (-871)\/208)*12)\/(-4*(-6)\/(-32)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/109  (b) 0  (c) 2\/7  (d) -1  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -2*x + 1, x - q + 13 = 14. Sort x, 4, 135, 5.\nAnswer: x, 4, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*-2*-6) + (sqrt(104)*2*4 - sqrt(104)) + sqrt(104))\/(sqrt(512) - (sqrt(512) - (sqrt(512) - 1*sqrt(512)))*-5 - sqrt(512)).\nAnswer: -3*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -69519*t**3 + 81*t**2 + t + 109.\nAnswer: -417114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4846 divided by -4\nAnswer: -2423\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/(l*l**(-2\/5)*l*l)))\/(l*l**(-5)*l))\/(l\/(l**(-2\/9)*l)*(l*l*l\/(l*l**(-2\/9)*l)*l)\/l) assuming l is positive.\nAnswer: l**(187\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0758*6.64.\nAnswer: 0.503312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1648 (base 12) in base 4?\nAnswer: -221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -853 - 920 + 18*n**2 + 1779.\nAnswer: 18*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + 0 + -5)*-3.\nAnswer: -3*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1534 - 0?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**2 - b**2 - 3*b**4 + (3 - b - 3)*(4 - 4 - b)*(-44*b**2 - 673*b + 673*b).\nAnswer: -47*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 + -1)\/(1\/18). Let a(g) = 3*g + 4. Let w be a(-6). Let h = l + w. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6136 or 6157?\nAnswer: 6136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 - 3*c**2 - 3*c - 1. Let x be s(4). Solve -7 = 5*z + x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3332110742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10268, 10626, 10982, 11336, 11688, 12038, 12386?\nAnswer: 12732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5*3\/6)\/(3\/(-6)). Suppose -2*r - q*r = -35. Let o = -0.7 - -0.4. Which is the biggest value?  (a) r  (b) o  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 416 divide 1360715616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11052619 is divided by 519?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 2*j = -5. Let f = -27 - -68. Suppose -4*k = 2*h - 7*h - f, 0 = h + j. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18.1 + -18. Let q be ((-8)\/(-3))\/((-4)\/(-6)). Let g be 2*(-1)\/(-2) - q. Which is the third biggest value?  (a) d  (b) g  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/210 and -71\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - 300\/(-22) - (-12)\/(-6)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*l + l - l + (l + l - 4*l)*(1 + 0 + 1))*(-1 + 5 - 2)*(l + 0*l - 3*l) as y*l + c*l**2 + k and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -5*o + 42, 0 = -4*q + 4*o + 26 + 2. Suppose q - 1 = -2*r. Suppose 0*a + 2*a + 10 = 0. Is a greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -28625  (b) 47\/3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/553104 and -39\/42752.\nAnswer: 8849664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 5947.53046 to the nearest ten.\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -173367, -15, 0, -2 in descending order.\nAnswer: 0, -2, -4, -15, -173367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 13*(-125)\/(182000\/32)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -63660, -128391, -193114, -257823, -322512?\n\"Answer: a**3 - 2*a**2 - 64732*a + 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 343303?\nAnswer: 343303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 69184726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(32)\/sqrt(4) + sqrt(8)\/sqrt(4)*1.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (0 - 672\/(-98))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-146 - -142) + (25 - 0 - (10 + -11)) - 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-8) - 1\/(-4). Differentiate -5 + d + 2*z**3 + 2 wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11 or -1.18?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 - 258 - (3 + 8 + -4 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 516 by 24.\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**4 - 416*k**3 + 7316*k**2.\nAnswer: k**2*(k - 118)*(3*k - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07 - -4625479.763.\nAnswer: 4625479.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 606389448 to the power of 1\/3, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 2) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 10) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/95854380 and 103\/48.\nAnswer: 383417520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 4*y = -2*d + 2, -5*d - 3*y - 4 = 0. Suppose 1 = -2*h - 17. Sort 3, 5, h, d in increasing order.\nAnswer: h, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 13*p. Let h(f) = 13*f**2. Calculate h(t(o)).\nAnswer: 2197*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 0.0451, -1\/4, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ewzuucwzuczz. Give prob of picking 1 w, 1 u, and 1 z.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 957*t - 66996. Calculate z(70).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-7) - 80\/182 - 6077531\/(-183313)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 1082 = -a - 184, 1873 = -3*f + 5*a. Let x = f - -636. Solve -24 = 2*g - 5*h, -2*h + h = x*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4114298 and -3.\nAnswer: -12342894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/((1\/(-4))\/(2\/4)). Is (7\/(42\/3508))\/(a\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.448 + 3.448. What is the closest to 1\/2 in -1\/9, -0.01, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -327279*j**4 - 254000*j**2.\nAnswer: -7854696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 263446298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 84456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - -5. Let s be (-1)\/2*-1*l. Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -7*s**2 - 2*s - 1. Suppose -2*f - 3*u = -5, -2 = 2*f + 2*u - 6. Let i be -1*(f + -4 + 4). Give c(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.08 - 0.06. Let y = 0.24 + f. Let q(r) = -r + 16. Let g be q(12). Which is the closest to y?  (a) 0  (b) 5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of p**4\/12 - 2*p. Let q be c(1). Let o be 18\/2 + 2 + q. Calculate the highest common divisor of 48 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 PM and 9:15 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 7 = 8. Let g(b) = -2 - 4 - b + p. Let m be g(-5). Calculate the highest common factor of 8 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 0.3, 3, -1\/4, -11.7, 0.5, -2\/87?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 19*u**2 + 53*u - 7. What is s(-15)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-28)\/((-4 - -6)*-1). Solve 4*n - 5*x = 6 + 11, 2*x + a = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3588 + -3585. Put t, -1\/2, 1, -5, -2\/17 in decreasing order.\nAnswer: t, 1, -2\/17, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 6*d + 4)*(6*d**3 - 4*d**3 - 3*d**3) + 2*d**4 - 4*d**4 + 3*d**4 + (1 - 1 + d**2)*(d**2 - d**2 - d**2) + 0*d**4 + 2*d**4 + 0*d**4.\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 11 = u, u + 0*v = -v - 5. Let t be 200\/u*(-54)\/30. Calculate the greatest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-8)*s\/s**(-9\/4))\/(s*s*s**2)**(26\/9) assuming s is positive.\nAnswer: s**(-551\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.6 + -4. Let y = 0.6 + v. Let p = 0 - -1. What is the closest to y in -4, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t - 3*t - t)*(1 + 3 - 6) + 1 - 6*t - 1 - t - 2 + 2.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4626 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 14335*y - 5933. Let p(k) = 3*k + 4. Let v(d) = -10*p(d) + z(d). Differentiate v(u) with respect to u.\nAnswer: 14305","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - -1.5. Let r = 168349.4323 - 168339. Let d = r + u. Round d to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -6 - b - 2*b + 2*b - 6*b. Let q(l) = -7*l - 6. Let y(v) = -6*a(v) + 5*q(v). Is 10 a factor of y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 76765 and 22295?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.872 + -2.128. Let c = 6 + -10. What is the nearest to 2\/7 in -6, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 622205611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4*1\/((-4)\/248). Let j = 706 + a. Let w = 45 + j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/24*(-4)\/(-42)*-3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/210 and (122880\/(-61600) - (-14)\/5)*(-7)\/(-12)?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218030 is divided by 8071.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-one eighths of a millennium?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1940 is divided by 425?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/9 and -41\/7710.\nAnswer: 23130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-10) + 36\/5. Suppose 9 = 4*a - m. Solve -29 = -a*r + 5*q, r = -3*q - 10 - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(450)\/(-2*sqrt(9)) - (-4 + sqrt(50) + 1)) + (((sqrt(200) + 2 + sqrt(200))*-1)**2 - 5*-2*sqrt(200)).\nAnswer: 315*sqrt(2)\/2 + 813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -5*q**2 - 161*q - 14. Determine p(-32).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmpf when four letters picked without replacement from fpsfbemm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + -4 + (6 - 1) - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nvg when three letters picked without replacement from nvngnnggggngvg.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1798619 to the power of 1\/2, to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of -17034302 and -3.2.\nAnswer: -17034305.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 - 25 = 62*t + 125 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 843.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - 2*q - 2. What is g(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 407a (base 11) to base 13.\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 12:43 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9275128 and 2.\nAnswer: 9275128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -804, -2161, -5904, -13227, -25324?\nAnswer: -43389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 51*k**2. Let c(y) be the second derivative of 17*y**4\/6 - 56*y - 9. Calculate 5*b(l) - 8*c(l).\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 550014072.\nAnswer: 2, 3, 53, 432401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 225 and 155675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 579985176.\nAnswer: 2, 3, 1021, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/3051958 and 34\/49.\nAnswer: 21363706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**5\/20 - 25*z**4\/12 + 25*z**3\/6 - 15*z**2 - 8*z + 2. Let v be t(24). Sort -11, -1, 5, v in increasing order.\nAnswer: -11, v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 370134?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + 11*g**2 + 5*g - 6. Let n be f(-5). What is the hundreds digit of (-10)\/(-75)*5 - 776\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7757 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -50242.2 to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -67 + (-4 - -7) + 6 - (6 + 11 - 14)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 1\/6*w**4 + 0*w - 1\/2*w**3 + 2*w**2 + 0 - 1\/60*w**5. What is z(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 281881 + 210.544?\nAnswer: 282091.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (68*s**3 + 6 - 6 + 77*s**3)*(-3*s + 0*s + 4*s).\nAnswer: 145*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3\/11, 1\/1194, -8, 15\/7, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0615 - -0.048169.\nAnswer: -0.013331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -75848 minus -1258667.4?\nAnswer: 1182819.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 426483*539\nAnswer: 229874337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1, -2, -5, -8, -11, -14?\n\"Answer: -3*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -6. Suppose v = 19 + k. Let n = v + -6. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 121 + -3121132022?\nAnswer: -3121131301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 2*v = -3*f - 3, 5*f - v + 9 = 0. Let t(n) = 2*n**3. Let a(i) = -11*i. Let h(q) = f*a(q) - 10*t(q). What is the second derivative of h(u) wrt u?\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*n**2*x**3 + 1151*n**2*x + x**3 - 210*x wrt n.\nAnswer: -4*n*x**3 + 2302*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/4 - 6940*i - 48163600.\nAnswer: -(i + 13880)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 4*k. Let f(a) = a - 147. Give n(f(p)).\nAnswer: 4*p - 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1797, 3591, 5385?\n\"Answer: 1794*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t + t + t)*(0 + 0 - t**2) + 3*t**3 - t**3 - 3*t**3 + (-3 + 5 - 1)*(2*t**3 + 4*t - 4*t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6526 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b + 1499?\nAnswer: 147b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4038955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20222 is divided by 578.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 56 = -2*n, 3*n - 3*q - 84 = -0*n. Suppose 0 = 19*o - 18*o - n. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 2. Suppose j + v - 14 = 0. Let g = 1 - -10. Calculate the lowest common multiple of g and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3019 - 8*u - 10*u + 20*u - 5*u.\nAnswer: -3*u + 3019","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -10.1, 3, 198.8, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -408, -816, -1212, -1590, -1944?\nAnswer: -2268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2372*p - 3*p**3 + p**3 + 2360*p.\nAnswer: -2*p**3 - 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.8 in 0.5, 30, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -313660, -313659, -313662, -313675, -313704, -313755, -313834?\nAnswer: -313947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3220634?\nAnswer: 2, 523, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 60.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rderdeeii. What is prob of picking 2 r and 2 d?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1003 (base 6) in base 16?\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 254 - 371. Is g\/2*4\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - v = v - 88, 3*j + 4*v - 137 = 0. Let q be 28 + -23 - -1*3. Suppose 153 = q*h + 33. What is the remainder when j is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2932a23 (base 11) to base 7\nAnswer: 60562022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/23))**(-11\/5) assuming l is positive.\nAnswer: l**(-22\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3.627121nm?\nAnswer: 0.000000003627121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1537\/1271 - -39\/31. Suppose -5*u = 2*m - 9, 13 = 5*u + 8*m - 4*m. Is u equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 + 5*b - 4. Let p be c(-7). Let i = p + 135. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kizk when four letters picked without replacement from kkiippzriiippzpk?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2768059 and 476?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-276)\/(-138)*(1 + 41474\/24). Let s = f + -3444. Calculate the common denominator of 89\/270 and s.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*p + 2*p + 2*p - 1 + 12*p**3 - 15*p**3 - 3*p as a*p**3 + f*p + s*p**2 + x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 198*z + 4. Let s(h) = -11*h + 10*h + 1 + 67*h. Let d(g) = -11*s(g) + 4*w(g). Is d(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/137, 0.146, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-90))\/((-3)\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*r + 9 + 61 = -74 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(208)*2)\/(sqrt(20)\/(-2*sqrt(5))).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of -j**5\/60 + 7*j**2 - 3*j + 45. Let u(k) be the second derivative of p(k). Let d(v) = -70*v**2. Determine u(d(f)).\nAnswer: -4900*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 23*x + 27 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -7, 1, -3, 2, -83 in ascending order.\nAnswer: -83, -7, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*c = 2*h - 58, h + 6387 - 6410 = 7*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4900 and 8960.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.6995029897 - -4.6995. Round l to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h + 4*n - 25, 4*h + 16 = -5*n + 9*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 5*n + 3*i = -1890307, 1512240 = 4*n - i. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39\/11 + 173\/55. Let o = 1 + -4. What is the third biggest value in r, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*n**3\/3 + 2566*n**2 - 705100*n - 605000\/3.\nAnswer: -(n - 550)**2*(7*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0031407826 to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -10*s + 2585*s**3 - 2586*s**3 - 20 - 18*s**2 - 9*s. Give r(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 510103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 27173586 + 5?\nAnswer: 27173591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 467163.8621 rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 202030916?\nAnswer: 2, 50507729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 20*n**2 - 1. What is the tens digit of m(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q - 16. Let d be y(-12). Let i = d + 6. Suppose -3*g - 39 = 3*u, i*u - 7 = -g + 5*u. Calculate the common denominator of -87\/4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(252) + 2)**2*-2 - (sqrt(7) - (1 + sqrt(28)) - (4 + 0 + sqrt(7))))*-2*4.\nAnswer: -16*sqrt(7) + 3992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q**2 - 3*q**2 + q**3 + (0 - 2 + 1)*(q**3 + 0*q**3 - 3*q**3) + 167*q**3 - 2898*q**2 + 2898*q**2.\nAnswer: 170*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -6*u**3 + u. Let w = -3 + 2. Let y be z(w). What is y rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84455496 divided by -18?\nAnswer: -4691972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 778*i**2 - 389*i**2 - 394*i**2. Let n(a) be the third derivative of a**4\/24 + a**2. What is n(c(l))?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q**2 - 61045*q - 2081310 = 0.\nAnswer: -34, 12243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(18)*4 + sqrt(18).\nAnswer: -21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48240 divided by 720.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.12 + 0.18. Let x = d + -0.4. Is -2 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 813882933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 26 = y, -5*x = 4*y - 8*y + 14. Let v be (54\/(-24))\/(1\/4). Let w = x - v. Solve -5*s - w*b = -5, 4*s - 5*s = -2*b - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 36712965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 + (53 - 28 - 49).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -g**4\/12 - 5*g**3\/6 + 9*g**2\/2 - 2*g. Let p be u(-7). Let v be (-147)\/42 + (-1)\/2. Sort v, p, 2 in descending order.\nAnswer: 2, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/1940025 and 109\/20?\nAnswer: 7760100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2. Let p(o) = 2*o**2 - 573*o. Give p(l(k)).\nAnswer: 2*k**4 + 573*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 + 11*y - 32. Give t(-10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/4*168\/(-63). Which is the closest to 4\/35?  (a) 2  (b) -4  (c) -5  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r, 1 o, and 1 u when four letters picked without replacement from {l: 1, o: 2, u: 7, i: 2, m: 2, r: 2}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, d: 3, f: 1, j: 1, w: 5}. What is prob of sequence dw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5746 - 5521 = 3*t. Let c = -1.2 + 1. Which is smaller: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 0.005946?\nAnswer: -0.002973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -v**6\/40 - 5*v**4\/6 - 7*v**3\/6 + 5*v**2. Let g(x) be the first derivative of t(x). Differentiate g(w) wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.07*0.031.\nAnswer: 0.00217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4528 = -161*q + 199*q + 245*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 10*d**2 + 14*d + 19. Is n(11) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12300221 + -1000?\nAnswer: -12301221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34775340?\nAnswer: 2, 3, 5, 83, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, s: 1, x: 1, m: 2, i: 2}. Give prob of picking 1 m, 1 x, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21.2 - -22. Let k = h - 0.7999968. What is k rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 3\/2, 0.1, -2\/13, -0.11, 0.4, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 959.5 rounded to the nearest ten?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22\/(-198))\/(3\/9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 1956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 69966400 a multiple of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**3 + 70*h**2 + 21*h + 830. Calculate l(-35).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 50*g**5 - 549*g**4 - 33*g**5 - 2*g**5 - 792*g**3 - 228*g**2 = 0.\nAnswer: -1, -2\/5, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9507*r**4 - 12761*r**3 - 16562077*r**2 - 2*r - 2 wrt r.\nAnswer: -228168*r - 76566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 642527\/2*14\/441. Let w = a + -10198. What is the common denominator of w and -58\/117?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 338*d = -257*d + 3570 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/10 + (3 - 3). Let t = -0.01 - 0.99. Let z = -1 + t. Which is the second biggest value?  (a) z  (b) h  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**2 - 33. Let p(h) = 310*h + 14. Let x(z) = -1243*z - 63. Let b(r) = 9*p(r) + 2*x(r). Determine b(f(q)).\nAnswer: -608*q**2 - 10032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nwncaanwnnwanxnann. Give prob of picking 1 x and 1 a.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 + 5*a + 5. Let z be d(-5). Is 2 - z\/(20\/(-308)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -61 + 134. Let n = f + -43. Let g be ((-12)\/10)\/((-1)\/n). Calculate the greatest common divisor of g and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (7 + -1)*(-10068)\/(-72). Let u = 1340 - i. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -68\/7, -3, 207?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**2 - 4 - 2*t + 1 - 3*t. Let x be 14457\/244 + -59 - (-15)\/4. What is d(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29387282726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*z + 12*z + 50*z + 10*z + 2*z.\nAnswer: 107*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 2\/11, -2967323, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171190 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1900 times 0.1?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -29*j**2 - 10*j - 2. Let a be (-6)\/21*(34 - 41). Let h(x) = -146*x**2 - 54*x - 11. Let f(n) = a*h(n) - 11*b(n). Let w(t) = -t**2. Calculate f(w(l)).\nAnswer: 27*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0*-7.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 167 - -20?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 371 + 361 + 371 - 1094 - c. Determine f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bttvtvmmjcjv. What is prob of sequence bjv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 617445591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 + (9 - 3))\/2. What is the tens digit of y\/(-6)*39\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 - 2*x**2 + 11*x - 2. Let q be h(-5). Let o be (-4)\/q + (-16)\/9. Let y = -5 + 2. What is the smallest value in 1, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 736571448 to the power of 1\/2, to the nearest integer?\nAnswer: 27140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(2\/3)\/y*y)\/((y\/(y\/(y*y*y\/(((y\/(y\/y**(-3\/5)))\/y)\/y*y))))\/y))\/(y**(1\/3))**(-16)*(y**(-5)*y\/y**(-5))\/(y*y**(-1)*y**6) assuming y is positive.\nAnswer: y**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*h**6*j - 22*h**4*j - 21*h**4 - 4*h**2 - 2*h*j - 2*j - 248 wrt h?\nAnswer: -1080*h**3*j - 528*h*j - 504*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*v - 3*v. Suppose 2*c + 0*n = 3*n + 22, -v*c + 26 = -n. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**4 - 44*h - 17. Let s(v) = -15*v - 6. Suppose -3*a + 12 = -a. Let w(q) = a*u(q) - 17*s(q). Find the second derivative of w(m) wrt m.\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153223034 is divided by 7333.\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5091, -5105, -5129, -5163?\nAnswer: -5207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171 = -2*d - 3*g, -2*d - 2*g + 192 - 18 = 0. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 3*w + 48 = 0, -608*p = -612*p - 2*w + 36 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 10*v**2 + 9*v + 5. Let q(p) = -52*p**2 - 44*p - 24. Let k(f) = -16*c(f) - 3*q(f). Find o, given that k(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*z - 2909872*z**3 + 2909858*z**3 + 17*z.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**3 - 5*d**2 + 4*d + 8. Let b(h) = -h**3 + h. Let g(k) = -3*b(k) - i(k). Let a(l) = l**3 + 2*l**2 - 3*l - 4. Calculate 5*a(v) - 2*g(v).\nAnswer: 3*v**3 - v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 167 - 168. Sort v, -0.1, -1\/5 in descending order.\nAnswer: -0.1, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248\/7 + 6\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003094318 to six dps.\nAnswer: -0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*b - 150 = -48*b. Let n(x) = 8*x + 1 - b*x + 28*x - 10*x. What is n(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 398 + -209. Calculate the greatest common divisor of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-nine fifths of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + -1100000010000?\nAnswer: -1100000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 - 33. Let a = d + 11. Let f be (-7)\/(-6) - 26\/52. Put a, f, 5 in descending order.\nAnswer: 5, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119*l - 984 = -122*l. Suppose -2*v - 133 = 151. Let k = v - l. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*p**4 + 268*p**3 - 3994*p**2 + 22612*p - 38640 = 0. Calculate p.\nAnswer: 3, 23\/3, 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 149*n - 66*n + 1162 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111 + 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + v + 3*v = -26, 2*s + v = 6. Let f be 10 - 3\/(s + -2). Let u = 6 + f. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -59 + 64. Suppose -5*z - 2*k = -25, -3*z + 4*k + 15 = s*k. What is the third derivative of -19*b**z + 483 - 15*b**2 - 483 wrt b?\nAnswer: -1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xvvxvvxxvxvx. Give prob of sequence xx.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*f - 154 - 122 = 0. Let v = -17.21 + 0.21. Let d = v - -17.5. What is the fourth biggest value in f, d, 0.2, 5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.2581 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -15, 22, 59, 96, 133, 170?\n\"Answer: 37*k - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 107 = 42. Let j be 2 - (4\/(-28) + f\/7). Suppose d + 4*y = -j*d + 290, 2*d - 149 = 5*y. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 39*p - 67*p + 28 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -1.71.\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9486?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 94, 99, 114, 145, 198, 279, 394?\n\"Answer: d**3 - d**2 + d + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert dbec (base 15) to base 9.\nAnswer: 70786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 7*x + 19 = -2*g, -4*x = 2*g + 16. Let v = x - -6. Solve 5*t + 9 = -4*m, v*t - 5*m + 0 = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -11, -4, 7 in descending order.\nAnswer: 7, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23305 + -3 + (-2 + -4)\/(39\/(-26)).\nAnswer: 2, 43, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -78963, -78976, -78989, -79002?\n\"Answer: -13*p - 78950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7988166 by -522.\nAnswer: -15303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p - 3. Give r(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + 2. Let b be l(-2). Find the common denominator of ((-26)\/(-15))\/(8\/b) and 82\/4*(-2)\/(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**3 - 2*i**2 + 7*i - 5. Let r be w(1). Suppose 4*s - r = s. Which is the smallest value?  (a) 0.05  (b) -2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30 and 421584.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174534 is divided by 219?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 424.\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 515 = -98*f, -5458*h = -2*f - 5463*h + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxexuxdedxxeekxex. What is prob of picking 2 x and 1 d?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 17*q + 105. Suppose -m - 5*o = 2*m - 126, 0 = 3*m - 3*o - 126. What is the remainder when m is divided by u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -2*d + 15. Let x(b) = 2 + 1 - d + 3*b**2. Let q(r) = r**2. Calculate q(x(y)).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-6) - (-134)\/(-6). Let w = -19 - i. Solve -w = 3*h + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 17*a - 10. Suppose 0*v + 22 = 2*v. Let h(s) = -6*s + 3. Let d(c) = v*h(c) + 4*w(c). What is the remainder when 7 is divided by d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30225037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6447657 and 5365?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 x, and 2 n when four letters picked without replacement from {n: 3, x: 2, c: 2}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v - 1062000 = -11*v. Round v to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*z**6 + 36*z**4 + 901*z**2 wrt z.\nAnswer: 480*z**3 + 864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = 2*g, 767*g - 4 = -8*s + 771*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/2089 - 572396\/10445. Let t = -55 - n. Which is the biggest value?  (a) t  (b) -1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -206.8443232 rounded to the nearest integer?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 7*l**2 - 11*l - 5. Let p(d) = -4*d**2 + 6*d + 3. Calculate -6*i(g) - 11*p(g).\nAnswer: 2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 4*r**2 - 3*r + 2. Let t be l(0). Suppose t*s + 8 = 5*k - 2*k, 0 = -4*k. Which is the third smallest value?  (a) s  (b) -2  (c) 1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8286 + 115*k**2 - 8286 + k as l + f*k**2 + g*k and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 656594 is divided by 2174?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 49225 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 10, z: 4}. Give prob of sequence zvz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 15*3 + 312 + -338\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of d**7\/2520 - d**6\/720 + d**5\/5 - 6*d**2. Let m(a) be the third derivative of b(a). Determine m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -5*v - 2. Calculate the greatest common divisor of 20 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + -2 + 3 - -2. Let o = 7 - f. Suppose 4*q - p = 138, -83 = -5*q - p + 94. Calculate the greatest common divisor of o and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + 6 + 176\/16. Suppose -2*h + 4*x = -s, -2*x - 12 = -0*h - 3*h. Suppose -h*f - 1559 = -4*j + j, -4*j = -f - 2072. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 694, 1375, 2056?\nAnswer: 2737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(28\/(-7)))\/(1\/(12\/(-234)))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/40)\/((-60)\/(-100))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-1 + (1 - (-4 + 3))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 819 - 812. Which is the third smallest value?  (a) 4  (b) 0.3  (c) -1  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*m + 14*m - 162. Let r(n) be the first derivative of 2\/21*n**3 - 1\/7*n**2 - 2\/7*n + 1\/14*n**4 - m. Factor r(c).\nAnswer: 2*(c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -11*o**2. Let c(l) be the second derivative of -5*l**4\/3 + 3*l**2\/2 - 163*l. Determine c(h(k)).\nAnswer: -2420*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 197 + -197. Solve j = -6*y + 4*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*j**2 + 48*j**2 - 22*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 8) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 15 = -8*u. Let y(g) = 2*g**2 - 15*g - 52. Suppose 0 = -4*d + 49 - 37, 0 = -2*m + 2*d - 12. Let h be y(m). Sort h, u, 4 in decreasing order.\nAnswer: h, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23 + 86. Suppose 0*w + w = m. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-28))\/y)\/y*y\/y**24*y**(3\/2)*y**(-20)*y assuming y is positive.\nAnswer: y**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 177*h**3*q**2 + 2*h**3 - 64*h**2*q - 2*q**2 wrt q.\nAnswer: 354*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 40 + (57 - 161) - -47\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22*x - 3*x**2 - 22*x + 6)*(x - 2*x - 2*x) to the form l*x**2 + o*x + m + p*x**3 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -91*y - 3*y**3 + 4*y**3 + 153*y + 6 + 6*y to a*y + h*y**2 + g*y**3 + c and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 3*j + 17. Let a = -41 + 72. What is the remainder when a is divided by p(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5*w = -2*x - 20, 28 = -3*x + 4*w. Suppose -5*i + 17 + 48 = 0. Suppose 82*r - 216 = -26*r. Sort x, i, r in decreasing order.\nAnswer: i, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 949\nAnswer: -3796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 38*y + 165. Let k be s(-33). Suppose -5*o + 5*h + 30 = 0, 0*o + h - 4 = -4*o. Which is the closest to o?  (a) -2\/5  (b) 5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2752 + -2651. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -402 - (-4 - (-6 + 4)). Suppose 0 = 7*k - 2*k + 1415. Let m = k - z. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 104752*m - m**4 + 11 - 209489*m + 104746*m + 3*m**2 + m**2 to the form p*m**2 + y*m**4 + w*m + n + v*m**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 368*x - 370*x - q = -4192, 0 = -5*x + 2*q + 10471. Is 128 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 650573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 11:40 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 31*u**2 + 2143*u + 278. Determine w(-69).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*p**3*s**2 + 24*p**3*s - p**3 - p**2 + 35*s**2 - 2*s wrt s.\nAnswer: -26*p**3 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -367, -1\/2 in increasing order.\nAnswer: -367, -1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -131.7 + 132. Let m = -229\/909 + 3\/101. What is the fourth biggest value in -0.1, m, -2\/33, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (80\/(-80))\/(1\/5). Let d(c) be the first derivative of 1\/2*c**2 + 1\/3*c**3 + 1 + c. Let r(s) = s**2 + s + 1. Give h*r(z) + 4*d(z).\nAnswer: -z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1\/5  (b) -2\/689  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 763\/2298 + 1\/766. What is the closest to u in 2\/39, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*v**3 - 53295*v**2 + 58446192*v - 17946790764.\nAnswer: 3*(v - 658)**2*(3*v - 13817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34606 + 69034 - 34752 + 2*n**2 + 11*n.\nAnswer: 2*n**2 + 11*n - 324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22833 = -24*w - 6345. What is the remainder when w is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 5*l - 3, -4*l = -l - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25089*r - 493972*r - 269658*r.\nAnswer: -738541*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 202777077 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00093799659 rounded to 5 decimal places?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + q - 40 = 0, 0 = -4*j + 2*j - q + 20. Suppose -3*p = k - j, 5*p = -10*k + 8*k + 17. Solve -r + 1 = -p*o + 4*r, 0 = -2*o + 3*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + -4*2*sqrt(13) + -2 + sqrt(1872))**2 + 3 + sqrt(1573) + -1.\nAnswer: -9*sqrt(13) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35342893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 175.9509 days to microseconds.\nAnswer: 15202157760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19675742.\nAnswer: 2, 9837871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 8\/(-52) - ((-134)\/26 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 675.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -5*g - 17. Let j be i(-7). Suppose 3*p + 9 - 21 = 0. Suppose -7*l - 5*d + 88 = -3*l, d = -p. Calculate the highest common divisor of l and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 4*w**4 - 48*w**3 - 368*w**2 + 1920*w - 2048 = 0.\nAnswer: -8, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -30*l**2 - 136*l - 264. Determine o(-16).\nAnswer: -5768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -32379*z - 744333. Give k(-23).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -71.4 + 51. Let z = -2.6 + p. Let g = -22.3 - z. Which is the second smallest value?  (a) -2\/9  (b) -1\/4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2192*z + 63452 = 23845 - 52457 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100110110100001110001110000 + 1?\nAnswer: 10100110110100001110001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -635, -665, -687, -701, -707?\n\"Answer: 4*t**2 - 42*t - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1263 divide 28313926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - 3. Let y = b - -2.95. Let w = 465 - 466. Is w > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 31 in 1, -0.046, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*n = 13*n + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13338334934515348.0000039 - 13338334343628800. Let n = z - 590886575. Let l = 27 + n. Round l to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 541169.6 millilitres to litres.\nAnswer: 541.1696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, t: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 5*x - 4 = 0, -276*x + 132*x = -2*o - 146*x + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -27*a + 86. What is f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xmssr. Give prob of picking 1 s and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1823 is divided by 887.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 34. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100000110110 (base 2) in base 9?\nAnswer: 2785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 70083, 70113, 70189, 70335, 70575, 70933, 71433?\n\"Answer: 4*a**3 - a**2 + 5*a + 70075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 654927 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1105)\/30)\/17*-6. Solve -7*b + w*b + 18 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f**4 + 0*f**4 - f**4)*(2723 - 342 + 3530 + 74 - 958).\nAnswer: 15081*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, q: 1, w: 2, f: 1, o: 2, g: 1}. Give prob of picking 1 g, 1 q, and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -60156 - -60856.42. Let s = b + -689. Round s to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1079.38 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of w**9\/16632 - w**8\/9240 - w**7\/2310 - 17*w**3\/6 - 11*w**2. Let o(c) be the first derivative of l(c). Factor o(i).\nAnswer: 2*i**3*(i - 2)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -298 divided by 37557\nAnswer: -298\/37557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -2*b. Let j be b + -4 + 2 - 0. Let c(u) = u**2 - 1. Let k be c(j). Solve k*r + 8 = -1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.013 - -8.313. Let n = 21.7 + v. Let d = 30.0000094 - n. What is d rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - (-70)\/12)*(-2)\/5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 247*r + 347*r - 20835 = 131*r for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2450*c - 4*c**4 + 1377*c**3 + 232324 + 551*c**3 + 522*c - 232320*c**2 = 0. What is c?\nAnswer: -1, 1, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18.049 - -18. Let t = 0.0332 + k. Let o = t - -0.012. What is o rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000004331477 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-2 - -10) + (1 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 249765352?\nAnswer: 2, 191, 223, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 + 30 = -10*o. Find the third derivative of -57*t**3 + 6*t**2 + 2*t + 4*t**o + t - 16*t**2 + 8*t**2 wrt t.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1458*p - 41155 + 11995 = 0 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of 65*j**6\/6 - 2*j**3\/3 + 127*j**2\/2 + 2*j - 122. What is the second derivative of k(y) wrt y?\nAnswer: 1300*y**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 178642 - 429*h - 178642 + (0*h + 0*h + 3*h)*(3 + 1 - 2) in the form x*h + j and give x.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-4))\/(2*3\/(-24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18432 by 4.\nAnswer: -4608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30543\/10 - 5975\/2. Is u bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 2*b - 9. Let k be (-160)\/b*(2 - 0). What is the greatest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m**3 + 28*m**2 + 7*m - 19. What is y(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - 37862\/57)\/((-6)\/(-9)). Let m = -993 - b. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1004483 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -132887, -132851, -132755, -132569, -132263?\nAnswer: -131807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(72) + -1) - (-5 + sqrt(2)*-1 + -2).\nAnswer: 1 + 37*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -10. Which is the closest to m?  (a) -0.2  (b) -0.1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -30*p - 16. Let v be w(-3). Let y = v - 74. Let i be (y - -4) + 1 + 0. Solve -i*q + 4*q = 4*z - 25, 2*q = -3*z + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(5\/2)*m**(-1\/4)*(m**(-1\/2))**(1\/52) assuming m is positive.\nAnswer: m**(233\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 2794893?\nAnswer: 2794893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 217 * 41.9\nAnswer: 9092.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1477\/47897*(-23)\/((-3059)\/(-38))?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 8:06 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 180\/(-2)*(-4476)\/14920?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50 - -53. Suppose -3*m + 4*h - 49 = -55, -h - 6 = -l*m. Solve 3*y + 10 = -2*j, m*y - 4*j - 6 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-4) + (-10)\/(-4). Suppose -4 = -5*r + 2*r - 2*z, 0 = -4*r - z + 2. Suppose 7*u = -y + 6*u, r = u. Solve -v*l - 2 = -y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**3 - 3*v**3 + 0*v**3)*((0*v + 2*v - v)*(0 + 2 - 4) - 1 + 0 + 23*v - 39*v).\nAnswer: -18*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 7670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 PM and 1:30 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 576 divided by -3\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9109109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.8, -0.5, -141\/18560 in descending order.\nAnswer: -141\/18560, -0.5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*q**4 - 75*q**3 - 3512*q**2 + 3355764*q wrt q.\nAnswer: 60*q**2 - 450*q - 7024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4*d**3 + 4*d**2 + 3*d + 2. Let m be j(-2). Let o(p) = -p + 39. Let a be o(11). Let x = m + a. What is the least common multiple of x and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q**2 + 7 - 11 + 7 + (5*q**2 - q**2 - 2*q**2)*(-3 + 3 + 5) as s*q + o + y*q**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150233 is divided by 9802?\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43 - -102. Calculate the remainder when x is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**3 - 10*h**2 + 3. Let p = -11943 - -11948. Determine n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -29\/700712?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -1865?\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*p - 5*m - 3, 0 = -5*m. Let h be (p\/2)\/(11\/(-44)). Let r be (-2)\/5 + (-54)\/h. Solve -5*w - 3 - r = -2*n, -3*w - n = -4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108955?\nAnswer: 5, 7, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -806201*-0.3\nAnswer: 241860.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccccbcccbccc. Give prob of picking 1 b and 2 c.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1233554261*x**5 - 1219272640*x**2.\nAnswer: 74013255660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (1*3*(-63)\/(-126))\/(3\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1661 divided by 6?\nAnswer: 1661\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) 1\/5  (c) -1685  (d) -3  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + 4\/(-2) + 1. Suppose 3*i - 5*c = -13, -1 = i + 2*c - 4. Let k be (-16)\/44 + (-1 - i). Is z less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 32, 60, 110, 188, 300, 452?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/(-1) - 0) + 4\/(-6). Let v = -1.7 - -2.7. Which is the closest to v?  (a) h  (b) 1\/5  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126225 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*k**3 - k**2 + 5*k**2 + 2*k**2 wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) -1  (c) -883687\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16 - (3 - 2)) + 3 + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -138 - -141. Solve 7*w + 34 = y*x + 2*w, 4*w = -3*x - 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 1799*y**3 + 6*y**2 + 10*y. Let a(d) = -2698*d**3 - 9*d**2 - 14*d. What is 5*a(t) + 7*q(t)?\nAnswer: -897*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 22 = 5*u + 7, 4*u = 4*j - 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-24))**(-24)\/(o**20\/(o**15\/o)) assuming o is positive.\nAnswer: o**570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 942508433.\nAnswer: 19, 49605707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**4 + 187*i**3 - 4355*i**2 + 27209*i.\nAnswer: -i*(i - 161)*(i - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4329691501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 4*t + 50, -t = h + 2 + 7. Let b(y) = 2*y**2 + 21*y - 19. Determine b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4067 = -787. Let v be -4 + 2 - (-6426)\/j. Let g = v + -3\/164. Calculate the common denominator of g and -103\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5015.203l to millilitres.\nAnswer: 5015203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21 + 2110210200121101?\nAnswer: 2110210200121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 830 divided by 96845\nAnswer: 166\/19369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 712715440 rounded to the nearest one hundred thousand?\nAnswer: 712700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42 - ((5 - 3) + 1) is divided by (-3)\/1*40\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l + 7*l - 7 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 4*n - 15 = 0. Let w = n + -3. Let s be w\/6*(2 + 0). What is the second biggest value in s, 3, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 498650258?\nAnswer: 2, 23, 37, 292979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -401*d - 802. Let h be q(-2). Sort -8, h, 584 in descending order.\nAnswer: 584, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2332076 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -75052, -74998, -74932, -74854, -74764?\n\"Answer: 6*v**2 + 36*v - 75094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -710 and 67494.\nAnswer: -47920740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-37108 - 989*v**2 + 37108)*(10*v - 2*v + 18*v) as z*v + p*v**2 + t*v**3 + m and give t.\nAnswer: -25714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {j: 7, f: 9}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41920.95cm to millimeters.\nAnswer: 419209.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-857*i**3 - 20*i**4 + 22*i**4 + 923*i**3)*(-3*i + 3*i + 2*i).\nAnswer: 4*i**5 + 132*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of -2\/3*w**4 - 8*w**3 + 2\/15*w**6 - 2 + 18*w**2 - 23*w + 4\/5*w**5. Determine i, given that c(i) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -90 + 93. Suppose h - 4*h + 39 = b*r, 0 = 2*r + 5*h - 26. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = -25 + 4 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43957 - -43956.999919606. Round h to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1182 (base 9) to base 6.\nAnswer: -4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -32486, -32503, -32528, -32561, -32602, -32651?\n\"Answer: -4*s**2 - 5*s - 32477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*y**5 - 2*y**4 + 225*y**3 - 6*y**2 + 3*y - 55 wrt y.\nAnswer: 360*y**2 - 48*y + 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 17*z + 76. What is b(-7)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -5*i + 4 - 5, 2*h - 2 = 2*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/34630 or 1?\nAnswer: 3\/34630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4 + sqrt(119)\/(sqrt(7)*1 + sqrt(7)) - (sqrt(204)\/(-2*sqrt(12)) + 4)) + -3)*3)**2.\nAnswer: -198*sqrt(17) + 1242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -146 (base 10) in base 7?\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n. Let l(m) = m**2 + 130. Determine l(t(h)).\nAnswer: 9*h**2 + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 10*v = -9*v - 21, -v = 3*b - 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -224191 + -28?\nAnswer: -2241b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 + n + 1. Let a(i) = 8*i**2 - 6*i - 4. Let y = -133 + 127. Determine y*b(k) - a(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b + 5. Let z(a) = -4*a - 8. Let o(d) = -7*u(d) - 5*z(d). Calculate o(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-v + 5*v - 3*v)*(3127*v - 17740 + 17740 + v**3) to the form o*v**3 + i*v**2 + n*v + r + x*v**4 and give i.\nAnswer: 3127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -58312 times 2\nAnswer: -116624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6*h + 3)*(-2 + 3 - 2)*(3*h**3 - 2*h**3 + h**3) - 3*h**4 + h**4 + 5*h**4 + (-5*h + h + 2*h)*(-2*h**3 - h**2 + h**2) - h**4 + h**4 - h**4.\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*t - 837 = 17*t. Calculate the greatest common divisor of t and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 8 = -2*b. Let s be 87\/28 + 1\/b. Let k = s + 23\/14. What is the third smallest value in k, -4, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 52\/(-8)*(-168)\/273.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 551814 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2003023100211 + -100?\nAnswer: 2003023100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -228\/5 + 43. Let o = h - -153\/55. Which is smaller: o or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 268*j - 328*j - 1745 = 643, -2*g + j = 5*j + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177177 is divided by 909.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of g**2 + 12*g - 363. Calculate z(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.048 and 61.57496?\nAnswer: -2.95559808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-26)\/(-65) + (-77)\/5. Let j = 11 + f. Suppose -2*w - 5*a = 19, -2*w + 5*a + 6 = -5. Put w, 0, j in decreasing order.\nAnswer: 0, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 5*l**2 + 2*l + 1. Let d be i(-2). Let n = 11 - d. Let g(p) = -p**3 - 6*p**2 + 2*p + 3. What is g(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131430.\nAnswer: 2, 3, 5, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j + 2*j**2 - 210757 + 210757 - 5*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1044095591.\nAnswer: 7, 11, 13559683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/1786710 and 115\/2144052.\nAnswer: 10720260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -178646, -178553, -178460, -178367, -178274, -178181?\n\"Answer: 93*z - 178739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 250, 3\/8248, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 76, 171, 304, 475?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of 2*g**3\/3 + g**2 + 10*g. Let t(i) = 9*i + 5. Determine -6*t(c) + 14*y(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 31391685 and 270?\nAnswer: 62783370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of h**2*w*z - 19*h**2*w + 4305*h**2*z**2 + 3*h*w*z**2 + 4682*h*z**2 wrt h?\nAnswer: 2*w*z - 38*w + 8610*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -c**5\/20 + 7*c**4\/12 + c**3\/3 + 21*c**2\/2 - 25*c. Let a be b(7). What is the greatest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-29*f - 55*f - 125*f)*(0 + 0 + 2) to r*f + y and give r.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/15 + 35\/75. Put -5, 5, w in decreasing order.\nAnswer: 5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*d + 17*d**3 - 7*d - 4*d wrt d.\nAnswer: 102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -180 * 0.0924.\nAnswer: -16.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15.87 + -16. Let j = g - -0.1265. What is j rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*z - 0*z. Let c(s) = -2*s**3 - 3*s**2 - 3*s + 2. Let f(j) = -j**2 + 8*j + 1. What is the remainder when c(z) is divided by f(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + i + 3. Let u be n(0). Let r = u + -1. Let t(k) be the second derivative of -k**4\/4 + k**3\/3 - 4*k. What is t(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 306*y**2 + 302*y**2 + 20.\nAnswer: -4*y**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (2 + -2 + 4) - (15 + -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 - 6*t**2 + 4*t + 1. Let j be u(7). Suppose j = 4*n - n. What is the remainder when n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -13*o + 5. Let q be i(-1). Suppose 4*s - k = 41, -2*s - 3*k + 13 = -q. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(363)*-2)\/sqrt(11))\/(sqrt(1584) + -2*sqrt(1584)) - (1*sqrt(243) + sqrt(243) + -4 + (sqrt(9)\/(3*sqrt(9)\/sqrt(3)))**2).\nAnswer: -107*sqrt(3)\/6 + 11\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9045 and 2485485?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 3463602066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 105 + -99. Suppose 2*u + f = 3*u. Find the first derivative of -205*c + 205*c + 12*c**3 + u wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 763245352.\nAnswer: 2, 19, 5021351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3 + 1 - y**4 - 6 + 3*y**3 - y**2 - 3*y + 4.\nAnswer: -(y - 2)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.491 + -0.191. Which is the smallest value?  (a) g  (b) 2\/9  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, w: 4, z: 1}. What is prob of sequence pppp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 40 = 3*m. Suppose -m*y + 7*y = -27. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0915 - -0.1715. What is the closest to 0.5 in z, -2\/15, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -59?  (a) 0.4  (b) 5  (c) -13  (d) -1\/7  (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(363) - (sqrt(363) + sqrt(363) + 1 + -4)) - (-2 + sqrt(363)*-1 + (-5 + -2*sqrt(363) - sqrt(363))))**2.\nAnswer: 858*sqrt(3) + 3436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from ssmssms.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/(-15))\/((-5)\/((-90)\/(-4))). Let x(l) = -4*l + 4. Calculate x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 + 41*d**2 + 46*d + 257. Let n be k(-40). Let r(b) = -7*b**3 + 3*b**2 + 6*b + 6. Let q(p) = 20*p**3 - 9*p**2 - 17*p - 17. Give n*r(f) + 6*q(f).\nAnswer: f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -50. Factor -v*l + 8*l**2 + 2 + l**3 - l**5 - 2*l**4 + 0 + 29*l + l**3.\nAnswer: -(l - 2)*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13896903 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - -10021?\nAnswer: 10015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + 4*w**2 + 2. Let m be g(-4). Suppose 8 = 2*s - m. Suppose -4*f - 110 - 38 = -4*b, -s = -f. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -94172 greater than or equal to -94159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4585\/142 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1084093363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12 or -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*x**4 + 9*x + 39*x**2 - 41*x**2 - 4*x**3 - 6*x**3 + 3*x**3 - 26*x as o + u*x**4 + y*x**3 + w*x + m*x**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-2))\/(30\/(-20)). Let o = 0.05244 + 0.24756. Let s = -10 + 5. What is the nearest to s in o, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 - -6586?\nAnswer: 6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of b**2*c**2*p + 34*b**2*p + 2*b*c + 3*b*p - 2*c**2 + 13*c*p wrt b.\nAnswer: 2*c**2*p + 68*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1033342212 + -1002?\nAnswer: -1033343214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6108 and 2.\nAnswer: 6108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q - 187 = 13. Let g = -37 - q. Let x(l) = l**2 + 13*l + 12. Let r be x(g). Solve 3*y + n - 1 = r, 3*y + 2*n + 5 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 206 divided by -4.\nAnswer: -103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 11 = -1. Let x = 18 + r. Solve b + 4*o = -x, 4*b + 5 = -7*o + 2*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1.5, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1568 + 1568 - 165*q**3.\nAnswer: -165*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5396\/5 - 1079. Let k be (2\/(-7))\/((-4)\/((-84)\/(-129))). Sort -3, k, q.\nAnswer: -3, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1352886470 to the nearest 1000000.\nAnswer: -1353000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + (-22)\/6)\/((-2)\/12). What is the greatest common divisor of p and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 5 - 7 + 3*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 29 = -3*p - 4*n, -9 = 3*n. Is 0 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (135\/(-405))\/(14\/(-30))*12\/(-10).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -28379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 7:04 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 449922.1l?\nAnswer: 449922100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 7:19 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -422, -419, -414, -407, -398?\n\"Answer: s**2 - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 38.4+0\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (300\/(-33))\/(24\/(-132)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 times -0.1?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 8*l**2 - 2*l + 4. Suppose 7*q = -87 + 185. Suppose -k - q = -6. Determine c(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26\/((2\/14)\/(444\/24))?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 821841224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 5*m = -7*m - 22, 0 = -4*g + 3*m + 28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, b: 2, q: 1, r: 6, a: 5}. Give prob of sequence vq.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6064 and 15568.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -5*y + 15. Let c(d) = -8*d - 10. Let w(o) = o + 1. Calculate y*w(j) + 2*c(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 35 - 21. Suppose 0 = -5*d + 6 + u. Let f(n) = -5*n + d - 2*n + 9*n. Determine f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8070775 to the power of 1\/2, to the nearest integer?\nAnswer: 2841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.05 and 0.42.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3702265*k**3 - 8*k**2 + 166803852*k?\nAnswer: 22213590*k - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -4540 bigger than -4539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert bb8390 (base 12) to base 16.\nAnswer: 2d771c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(42\/740)*(13 + -20). Is -2 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - -8) + 12 - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6787, -6784, -6779, -6772, -6763?\nAnswer: -6752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -85 + 936\/11. Let c be 0\/(-24)*(1 - 0). Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xvvxxxvxxv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 11*a + 8. Suppose 3*t - 5*t = -2*q, -4*t + 2*q = -4. Let j be w(t). Differentiate -3 + 2 + 35*y**3 - j*y**3 - 11 wrt y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29136432 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.4  (b) -2\/7  (c) 49\/3230  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 692.3639 centuries in years?\nAnswer: 69236.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**12*i*(i**(-8\/5)\/i*i)\/i*i*i*i\/(i**(7\/2)*i*i)*i**4 assuming i is positive.\nAnswer: i**(119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 685707044.\nAnswer: 2, 11, 79, 197269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -553286, -1106923, -1660560?\n\"Answer: -553637*q + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2 - -0.6. Let a = -2 - -3. Put 5, a, f in ascending order.\nAnswer: f, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 69, 1, -1, -3, 33, -20, -2 in decreasing order.\nAnswer: 69, 33, 1, -1, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 331842673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 4 = 2*y. Suppose 0 = -y*f - 4*a - 0*a, 4*a = f - 20. Suppose -52 = -f*i - 4*s, 0*i + 3*i + 5*s = 43. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - h. Let n(o) = -704*o - 6 + 4 - 9 + 708*o. Let r be n(3). Solve h*c + r = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*w**4 + 914*w**2 + w - 21234 wrt w.\nAnswer: -12*w**3 + 1828*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -870*z + 4344. Determine o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 3*v - v)*(-3*v**3 - 6*v**3 + 33*v - 32*v - 2*v**2 + 2*v**2 + v**3 + (-v - 2 + 2)*(6*v**2 - 4*v**2 - 3*v**2) + v**3 + v - v).\nAnswer: -30*v**4 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 124 a factor of 278504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = k - 2. Let l = 10 - 8. Suppose 0 = -k*v + l + 2. Solve -v*o = -4*y - 22, -2*y + y - o = -2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 47560*l**5 - 5063*l**3 + 385335476*l.\nAnswer: 951200*l**3 - 30378*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/216 and -63\/360596.\nAnswer: 19472184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (0 + (-1348)\/18)\/(344\/(-1548)) is divided by 91.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*c + 66 + 205 = -467 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*g - 29*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 46649353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 73939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*x - 56 = -22. Let a(b) = 4*b + 46*b**x - 12*b + 3*b + 6*b + 2*b**2. Let h(l) = 2*l**2. What is a(h(r))?\nAnswer: 192*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3\/(-7))\/((-9)\/(-12)))\/((-684)\/266)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/(-5))\/4*5\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 3*d + 7 - 17 - 6*d + 9*d. Suppose 3*m - 11 = 3*u - 4*u, 3*u = 3*m - 15. What is the remainder when z(m) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -273025.83 times 0.2\nAnswer: -54605.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 600 (base 11) to base 4\nAnswer: 23112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -323575*j**5\/3 - 10206695*j**4\/3 + 90238877*j**3\/3 + 32444557*j**2 - 922962*j + 6480 = 0. Calculate j.\nAnswer: -270\/7, -1, 3\/215, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of 116*i**3\/3 + 2*i**2 - 9. Let h(g) = 12*g + 125. Let v be h(-10). Let f be k(v). What is f rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 37667910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2475550 or 2475537?\nAnswer: 2475537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 22 - -8) + -11 + 6 + -3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 793963 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -1. Let v(p) = -6*p - 12. Let n be v(f). Solve 0 = 3*b - 3 - n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -176, 0, 4, -3, -4, 12 in decreasing order.\nAnswer: 12, 4, 1, 0, -3, -4, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 7*j - 16291. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*z + 3*b, 5*z - 3*z - 3*b + 10 = 0. Let n be (z\/6*-3)\/(-3)*2. Suppose n*u + 6*u**3 + 0 + 8\/3*u**2 + 5\/3*u**5 + 16\/3*u**4 = 0. Calculate u.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2678*a - 4834 - 2866 = 2853*a for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 45328372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -4*x**3 + 6*x**2 - 6*x + 6. Let n(r) = 3*r**3 - 5*r**2 + 5*r - 5. Let j be ((-14)\/5)\/((-6)\/60). Let o = j + -22. What is o*n(a) + 5*z(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/1274 and 45\/998218.\nAnswer: 48912682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 4  (c) 16  (d) 24939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 35 = -i + 5, -4 = -w. Calculate the remainder when 191 is divided by i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - 13 - (-2 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 32119276 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.089  (b) 9  (c) 0.4  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 PM and 11:01 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6438 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/3 - 170192*j\/3 + 7241329216\/3.\nAnswer: (j - 85096)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1746 (base 12) in base 3?\nAnswer: -10211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/63 + (-6)\/63.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t*t\/t**(2\/13)))*(t\/t**(-1))\/t)\/(t**6*t*(t\/(t*t\/(t\/(t**(2\/5)\/t))))\/t) assuming t is positive.\nAnswer: t**(-244\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5310588 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207 = 4*m - 215, 3*f + 18*m - 159 = 0 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5d68 - -a?\nAnswer: -5d5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r + 3. Let d(u) = -3*u + 7. Let z = -13 - -19. Suppose -z = 3*q - 0*q. What is q*d(v) + 5*j(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-4*(sqrt(612) - (sqrt(612) + -1*sqrt(612))) - ((sqrt(119) - ((2*5*sqrt(119) - sqrt(119)) + sqrt(119)))\/sqrt(7))**2*-1.\nAnswer: -144*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19 and -129536.\nAnswer: 2461184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 251, -45, 5 in increasing order.\nAnswer: -45, 4, 5, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 49*z**4 - 35*z**2 - 12*z - 8887 wrt z.\nAnswer: 588*z**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -9208404 divided by 879?\nAnswer: -10476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 104.613012ms?\nAnswer: 0.00000121079875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -106 and -2?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3104, -12341, -27694, -49163, -76748?\nAnswer: -110449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -45.21.\nAnswer: -135.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-4))**(-50))**(1\/12) assuming w is positive.\nAnswer: w**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n + 9 - 42 = 0. Solve -n*y - 2 - 1 = -3*m, 0 = 2*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 - 13*a + 64. Determine k(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 174, 208, 316, 540, 922?\n\"Answer: 7*a**3 - 5*a**2 + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 95*c**2 + 58*c**2 - 44*c**2 + (-c - 2 + 2)*(-1 + c + 1) in the form i*c + z*c**2 + n and give z.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 4, -1088, 20, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d**(1\/8)\/d*d)\/d)**(-9))**(2\/19))**(-21) assuming d is positive.\nAnswer: d**(-1323\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 22 = o. Let v = 264 + -174. Suppose -5*x = 25, 0 = -2*a + 2*x + 52 + v. What is the highest common divisor of o and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -333\/5 + 67. Let -4\/5 + s*m + 6\/5*m**2 = 0. Calculate m.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11595 divide 933956842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, 5, -3\/2, -3, 54\/101, 0.5 in increasing order.\nAnswer: -3, -3\/2, -1\/7, 0.5, 54\/101, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24585 and 1115265.\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -3*o**4 + 4*o**3 - 9*o**2 + 3*o. Let l(s) = s**4 - s**2 + s. Let v(n) = -a(n) - 5*l(n). What is t in v(t) = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*z**2 + 61*z**2 - z - 28*z**2.\nAnswer: 82*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - c + 72 = -42, 5*d + 594 = -c. Let o = -116 - d. Suppose 2*v - 2 = 4, -5*r - v = -58. Solve -2*u + o = -j, j + 3*u + r = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 3 + 5 = 0. Suppose -16 = -m*r - 2*j, 4*r - 56 = -0*j + 2*j. Let x = r - 2. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -4*y**2. Suppose -3*s - b - 14 = 0, -10*b = 2*s - 6*b + 16. Let t(l) = 6*l**2 + 5. Let x(a) = 2*a**2 + 2. Let k(q) = s*t(q) + 10*x(q). Give j(k(c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16590031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -100031 (base 4) to base 14\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 2*a + 5)*(9*a + 9*a + 28*a - 12*a - 7)*(-381 - 264*a + 381) to r*a**3 + n*a + y*a**2 + c and give r.\nAnswer: -17952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3378358*g**3*k + 6023461*g**3 wrt k?\nAnswer: -3378358*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2295\/13 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23 + -23.007. Let x = h - -0.00700006. What is x rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -41*y**4 - 6*y**2 + 6*y - 15. Suppose -2*f + 7 = -7. Let h(m) = 42*m**4 + 7*m**2 - 7*m + 16. Let n(g) = f*t(g) + 6*h(g). Differentiate n(b) wrt b.\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 726 + -722. Let l = -3 + 2.99. Which is the third smallest value?  (a) l  (b) 0.2  (c) u  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12+-861940\nAnswer: -861952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1517*v**2 + v - 1518*v**2 - v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**2*u)**25\/(u**(-4\/7)\/u**(2\/5)) assuming u is positive.\nAnswer: u**(2659\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 3:27 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -16*j + 37. What is the units digit of t(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 27 = 2*p - 5, 4*p + 80 = 4*u. Let t = 12 + -18. Let i(c) = c**2 + 7*c + 8. Calculate the lowest common multiple of i(t) and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 6941 + (-15)\/5 + 5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1532 and -0.1.\nAnswer: 153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -1  (b) -16  (c) 2  (d) -0.1733  (e) 3  (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -53, 43 in ascending order.\nAnswer: -53, 2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 - 18*q**2 - q + 26. Let t be j(0). Put t, 4, 30 in ascending order.\nAnswer: 4, t, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**5 + 3660*n**4 + 839052*n**3 + 835396*n**2.\nAnswer: 4*n**2*(n + 1)*(n + 457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182 - 550 = -4*h. Suppose 4*n - 3*n + 53 = a, -h = -2*a - 5*n. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = q + q. Let s = -9 - q. Calculate the lowest common multiple of s and (16 - (0 - -1)) + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or 3227765?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6\/(-5) - -1)\/(516 + -515). Let s be 2\/2*0\/1. Which is the closest to -1?  (a) s  (b) o  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1+713444072\nAnswer: 713444073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/26)\/((-15)\/100*-5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 25*f**2 + 5*f. Let s be t(4). Let u(b) = 2*b + 20. Let v be u(-10). Suppose 8*i - 3*i - s = v. Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75520098 divided by 157662?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -361 + -5?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63783 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3bcd - -10?\nAnswer: -3bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/73539 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -3 - 2*(-74)\/38?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.039 + 0.068. Let t = 25.971 + d. Let h = t + -26.016. What is h rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from bbttbttttctbtbtc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32397864.\nAnswer: 2, 3, 521, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.7 in 1\/4, 2, 0, 1.3, -5, -443?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*p + 85*p + 3 + 377 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83 = 8*d - 67 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 32658737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.63219*343.\nAnswer: -559.84117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 e, and 1 y when four letters picked without replacement from yyysdyysyyeypd.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 - (92 - (10 - (-5 + -4)))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -1 - 9. Let p(c) = 13*c**2 + 5*c + 5. Let k(t) = -20*t**2 - 8*t - 8. Determine j*k(l) - 8*p(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 613680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**2\/15 + 28*p - 14942\/15 = 0?\nAnswer: -241, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 6 = 4*o, -p = -3*o + o. Suppose 4*b - 2*b = 10. Suppose 0 = -2*j + 2*s + 6, -b*s = 2*j + 3*j + 5. Solve j + 1 = p*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 7*p**2 - 7*p + 14. Let y be h(6). Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/33794 and 89\/320?\nAnswer: 5407040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 246381659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xul when three letters picked without replacement from {u: 1, q: 2, l: 3, k: 5, x: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 10*m**2 - 8*m - 11. Suppose 0 = -3*q + 3*f + 12, 5*f - 10 = 2*q - 3*q. Let l be (-1)\/(1*q\/(-20)). Suppose l*t - 90 = -6*t. Calculate d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -3, 2\/3, 1\/21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 776428863703 less than 0.4?\nAnswer: -776428863702.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 AM and 10:35 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -0.05, 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = 3*j - 100. Suppose 4*f - 215 = j. Suppose -5*x + l + f = -l, 2*x = 2*l + 28. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 9 = -1. Let c(u) = 2*u**2 + 29*u + 16. Let k = -30 + 16. Let h be c(k). Solve -13 = -d - h*i, -x*d - 4*i + 36 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = 3*l - 3*r, 7*l = 2*l - 5*r + 190. Suppose -323*c - l = -329*c. Let s(o) = o + 1. Let k(n) = 6*n - 3. Let z(g) = k(g) - 5*s(g). Calculate z(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21*-107.32\nAnswer: 2253.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 - 45 = 143*f + 41. What is the nearest to f in 2\/9, -0.06, -8?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hgh when three letters picked without replacement from jxljgngnjlxnggh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -7*q + 12 + 6*q - 10*q + 2*q**2 - q**2. Let m be v(10). Factor -2\/3*x**m + 0 + 2\/3*x.\nAnswer: -2*x*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, x: 2}. What is prob of sequence ixx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/9 - 70\/(-15). Suppose k + 4*k = -a. Let r(y) = -10*y**3 - 2*y**2 + 2*y + 1. Let w(h) = -h**2 + h. Let c(q) = r(q) - w(q). Give c(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -48 + 1247*q**2 + 38*q**4 + 20*q**5 - 20*q**4 + 176*q + 34*q**4 - 84*q**3 - 1363*q**2 = 0.\nAnswer: -3, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35 + 28. Let d(v) = -v**3 + 3*v - 4*v - 5*v**2 - 5*v**2 - 2 + 3*v**2. Determine d(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (417\/(-4))\/((-15)\/(-12)). Let a = -83 - l. Let o be 5*-6*(-1)\/10. What is the closest to a in o, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 622647746?\nAnswer: 2, 7, 17, 19, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 2*n**2 + 0 - n**4 + n + 0*n to the form h*n + o*n**3 + d + a*n**2 + u*n**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29\/238 + 1\/238. Let y = -28 + 27.992. Let w = -2.992 + y. What is the nearest to -1 in w, i, 1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*t + 35 - 53, -7*t + 24 = 2*o. Suppose -5*k = -5 - 15. What is the nearest to -0.1 in o, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28993 * -125\nAnswer: 3624125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/((-12)\/(-6) + -3). Let g(p) = p + 3. Let r be g(l). Suppose 2*b - 7 = 5*k + b, r*b + 9 = 0. What is the third biggest value in 0.3, k, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + q)*(-1 + 3 + 0) + 9*q - 9*q - 25*q to g + j*q and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-315)\/(-14868)*59)\/(1\/(-122)*-5)?\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2+-89581234\nAnswer: -89581236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 + 25. Let c(i) = -i**2 - 25. Let f(w) = -7*c(w) - 6*x(w). Differentiate f(k) wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6129254381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 divided by 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3a65 + a64?\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*s + 1861 - 205. Let h = s - 88. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6619*r - r**2 - 4 - 3237*r + 4 - 3382*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(2057)*1 - sqrt(2057) - sqrt(2057))*-5 - ((sqrt(2057) - sqrt(2057)*1) + 3)))**2.\nAnswer: -5280*sqrt(17) + 822944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*q**3 + 4822*q**2 - 2411*q**2 - 2411*q**2.\nAnswer: -57*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.1 - -2.6. Let g = -594\/5 + 119. Which is the closest to 0.2?  (a) g  (b) d  (c) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -10 - (12949\/(-1035) + 4\/36). Which is the nearest to 1?  (a) 3\/13  (b) 2\/3  (c) 0.5  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 36 + 353911?\nAnswer: 353947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 27b (base 12) in base 9?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 12 - 4)*(-45*r - 2*r - 74*r) as l + q*r and give q.\nAnswer: 1936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 77 = 13. Solve -p = -3*l - 2*m, 2*m + 1 = 3*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**3 + 0*u**3 + u**3)*(1 + 0 - 4) + 4 + 5*u**3 - 4 + (-u**2 - 2 + 2)*(-1 + 1 + u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7116 by -4.\nAnswer: -1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 58452951 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.42 - -1.3. Let q = b - -0.24. Let i = q + -5.12. Put -2\/17, 3, i in increasing order.\nAnswer: i, -2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, t: 2, k: 3, c: 4, f: 3, y: 2}. Give prob of picking 2 k, 1 d, and 1 c.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1159731*f**5 - 1834160*f.\nAnswer: -23194620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 207 + 9 = 0. Calculate the remainder when g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -163, -1\/5?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + n + 0*n)*(6 - 6 + 3*n**2) - 2*n**3 - 3 + 3 - 4 - n**3 + 4.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -32095 and -9?\nAnswer: 288855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/1895936 and 121\/840.\nAnswer: 28439040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z. Let a(b) = 10*b + 7. Let c(t) = -a(t) - 5*m(t). Let y be c(-5). Suppose 5 = -5*n + 3*p, 2*n + 2*n = -2*p + y. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -91*p - 24. Let m be 8*(-2)\/(-2) - 21\/7. Suppose -4*h = -h - 2*q + 4, 4*h + 3 = m*q. List the prime factors of y(h).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/19, 3, 5, -5, -89 in descending order.\nAnswer: 5, 3, 1\/19, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.24?  (a) 0.3  (b) -2\/3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of t**4\/24 + t**3\/6 - 5*t**2. Calculate the remainder when 7 is divided by x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.05, -4, 47.7788?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t**3 + 29*t**3 - 77*t**3 + 47*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2350405464?\nAnswer: 2, 3, 11, 37, 240623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 2*q - 14 = -0*p, p = 3*q - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16027 is divided by 2017.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x*x**0\/x*x)*x*x*x)\/(x*(x*x**(1\/4))\/x)*x*x\/(x**5*x*x)*x*x\/(x*x\/x**(-2\/7))*x**7*(x*x\/x**2)\/x*(x**(-1))**(-9) assuming x is positive.\nAnswer: x**(293\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 272*h**3 - 2*h + 5*h - 3*h - 51*h**3.\nAnswer: 221*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2038230 is divided by 1649?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2747, -5484, -8221, -10958, -13695?\n\"Answer: -2737*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 - 308*v**2 - 626*v + 1757. Determine g(310).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 22*y. Let x(k) be the first derivative of 3*k**2\/2 + 29*k + 2348. Calculate x(l(i)).\nAnswer: 66*i + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 9. Let r be (-5 - -3)\/(d\/1). Is r at most as big as -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -133984, -133936, -133888, -133840?\nAnswer: -133792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k = -20*k + 30. Calculate the remainder when 34 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of -v**8\/420 - v**4\/12 + v**3\/3 - v. Let o(w) be the second derivative of i(w). What is the first derivative of o(x) wrt x?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from gfhbfsyby.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11834, -11851, -11848, -11813, -11734, -11599, -11396?\nAnswer: -11113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4*q**2 - 6*q - 7. Let g = 165 - 172. Let h(u) = 5*u**2 - 5*u - 6. Give g*h(w) + 6*j(w).\nAnswer: -11*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of 61*g**7\/210 - 9*g**4\/4 + 2*g**2 - 10*g. Find the second derivative of b(l) wrt l.\nAnswer: 732*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155*l**4 + 20*l**5 + 1754*l**3 - l**2 + 1607*l**3 - 3061*l**3 - 114*l**2 - 50*l = 0. What is l?\nAnswer: -1\/4, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 158*f. Let m(z) = 7327*z + 1. What is m(r(n))?\nAnswer: 1157666*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 689678*x**3*y + 5*x**3 + 61*x**2*y + 6373*x**2 wrt x.\nAnswer: 4138068*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**3 - 167*l**2 - 5119*l - 4953 = 0. Calculate l.\nAnswer: -127, -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - w = 2 - 0, -2*k = w - 13. Suppose j = t - 1, -2*j + k*t - 11 = j. Suppose 0 = -3*q + 3 + j. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 24812\/349 or 70?\nAnswer: 24812\/349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -278*g - 2*g**2 + 49*g + 124*g + 57*g + 48*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of h**4\/4 + 2*h**3\/9 - h**2\/2 - 2*h\/3 + 41. Factor a(k).\nAnswer: (k - 1)*(k + 1)*(3*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51026775647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5514, -5127, -4482, -3579, -2418, -999, 678?\nAnswer: 2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2b1b - 3b?\nAnswer: -2b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 51\/3 - (1 + -1). Let h(u) = -a*u - 8*u + 4*u**2 + 25*u. Let q(d) = d**2. Give q(h(z)).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 7 = y, -h + 5*y + 45 = 0. What is the least common multiple of 160 and h?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 + -5.66329.\nAnswer: 0.33671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t - 67310 + 104114 + 202929. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 463*y - 209*y - 1778 = 0. What is c in -2 - 5\/4*c**3 - y*c - 11\/2*c**2 = 0?\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5.4015 and 259855?\nAnswer: 259849.5985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 12:01 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = z + 8, -2*f - 4*z + 4 = 2*f. Solve f*j = 2*t + 2*t - 16, 5*t = -2*j + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14 + 22 + 12*s**2 + 4*s**3 + 12*s - 4.\nAnswer: 4*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0089878 to 5 decimal places.\nAnswer: 0.00899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 + 37696*n + 866485. What is i(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**5 - 52*v**4 - 264*v**3 - 496*v**2 - 320*v.\nAnswer: -2*v*(v + 2)**3*(v + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11 + 38171574?\nAnswer: 38171585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -55625 or -55411?\nAnswer: -55411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*k**3 - 51*k + 2*k**2 - 52*k + 102*k as t + j*k**2 + r*k + y*k**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 973151 to the power of 1\/2, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 1) + 37 + -25 - (-22 + 71 - 19)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 3*o**2. Let j(n) be the first derivative of 0*n**2 - 2 + 0*n**3 + 2*n - 1\/6*n**4. Let c(q) be the first derivative of j(q). Give a(c(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/203875 and -41\/32620.\nAnswer: 815500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58 + 454 - 512 - 5*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 337195089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/8, -1\/11, -1\/5, -3.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2702\/56 - 1\/4 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Factor -l**3\/4 - 55*l**2\/2 - 109*l\/4.\nAnswer: -l*(l + 1)*(l + 109)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 234*j = 238*j + 3*w - 4, 2*j = -2*w. Solve 2*a + 5*n + j = 0, -3*n - 6 = -11*a + 14*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 307 + -81. Suppose -3*s = -5*k + 585 + 561, -s = k - r. Suppose 0 = 5*l - u - 304, -2*l = -6*l - 3*u + k. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5860985 + 2*a - 5860985.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 55, 10, -10, 0, 12 in ascending order.\nAnswer: -10, 0, 1, 10, 12, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (9\/138)\/(3\/20). Let m be (-115)\/(-69)*2\/(-10). Which is greater: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 6*x**2 + 88*x + 14. Give m(-12).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1192.5 - 8653.5. Which is the closest to -0.1?  (a) 3  (b) n  (c) -3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 7.6. Let c = -1.1 + d. Round c to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9114.638ml to litres.\nAnswer: 9.114638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence buk when three letters picked without replacement from kuubnibz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -4*n**3 + 2*n**2 + n - 1. Let w(r) be the second derivative of r**5\/4 - r**4\/4 - r**3\/3 + r**2\/2 - 9043*r. Determine 3*f(j) + 2*w(j).\nAnswer: -2*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 42 - 68 = 0. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/60)\/((-33)\/(-44))*-1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4776995 is divided by 2388471?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44 - 16 - 28 + 26*t - 4*t**2 - 4*t.\nAnswer: -4*t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -27da (base 14) in base 2?\nAnswer: -1101110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1355 + -1353. Let h(t) be the second derivative of -2*t**3 + 0 - 15*t - 9\/2*t**n - 1\/4*t**4. Factor h(u).\nAnswer: -3*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -13\/4, -5\/4, 1\/10, -2\/57, 3?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.111393 rounded to 4 decimal places?\nAnswer: 0.1114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 25*g**2 - 2*g - 1. Let p be b(-1). Let a be (-2)\/(-3) + (-4)\/6. Suppose a = 2*v - 30 - p. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27.252 + -27.232. What is the nearest to 0.3 in -1, -4\/65, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0*14\/168)\/(-1 + -1). Let g(a) be the first derivative of f*a + 2\/5*a**5 + 3\/2*a**4 + a**2 - 5 + 2*a**3. Factor g(n).\nAnswer: 2*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(51)\/(-3*1*sqrt(3))*-1 + -1 - (((2 + (sqrt(1700) - (-1 + sqrt(1700) - sqrt(1700))))**2 - ((1*sqrt(1700)*5)**2 - sqrt(1700))) + -2).\nAnswer: -209*sqrt(17)\/3 + 40792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3937469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40 - -43) + (-4)\/10 + (12032\/(-60))\/47.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**4 + 47*d**3 + 123*d**2 + 133*d + 50. Let s(u) = 2*u**4 - 49*u**3 - 123*u**2 - 131*u - 49. Let k(h) = 5*p(h) + 4*s(h). Solve k(f) = 0 for f.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddc when three letters picked without replacement from ccddddcddd.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.7415 to 1 decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/18 and 85\/4686.\nAnswer: 14058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 333193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1122020202 - 10?\nAnswer: -1122020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -2.4. Let o = -0.29 - 0.11. Let a = o + -1.6. What is the third smallest value in a, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 28\/(-4) + 2 - (10 - 20). Solve -2*h - 14 = -2*d - 0*d, 4*h = -m*d + 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41548019 a multiple of 1578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1452, 2884.53 in descending order.\nAnswer: 2884.53, 1452, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/50730 and 121\/1258104.\nAnswer: 6290520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 + 14*h**2 - 25*h + 36. Give u(14).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5216 and 0.1446.\nAnswer: -754.2336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -68 + 173. Let o = 102 - h. Which is the third biggest value?  (a) 0.3  (b) 1  (c) 0.2  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -170 + 180. Calculate the highest common divisor of 70 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.4 + -4. Let w = 8.2 - 8. Let l be 8\/3*(-870)\/(-8120). Sort y, l, w in descending order.\nAnswer: y, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 134 - -265. Which is bigger: 400 or i?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 440895?\nAnswer: 3, 5, 7, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppvmdpmp. Give prob of sequence dmm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 312425355 (base 6) to base 4\nAnswer: 110301311213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 1, -16, -7258, 3, -2 in decreasing order.\nAnswer: 3, 1, -2, -12, -16, -7258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 - 80*j - 72. Let y be v(81). Calculate the highest common divisor of y and 13572.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 15*q**2 - 18*q + 14. What is the smallest common multiple of -12 - -2*(13 - -4) and o(17)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 175 = 3*p - 4*p, 4*d - 4*p - 140 = 0. Let v = 19 - -2. Calculate the highest common divisor of v and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/700 greater than 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 3*w - 4, -2*w + 0*w + 3*t = -3. Suppose 0 = -3*i + 2*i - 3. Sort i, w, 5 in decreasing order.\nAnswer: 5, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -103, 4, 458 in ascending order.\nAnswer: -103, 4, 13, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0011730218 to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - 18\/(-2)) + -4. Suppose -j + 21 = 6*c. Solve -c = -2*b + b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u + 2. Suppose 2*o + 14 = 3*t - 3, 4*t = -2*o - 10. Let r(j) = -5*j - 4. Calculate o*z(l) - 4*r(l).\nAnswer: 6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*f + 3699247 + 7178753. Suppose 43*g - f = 29*g. Round g to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2548)*-3*1)**2.\nAnswer: 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*c**5 + 636009*c**4 + 18*c**2 + 471880000*c?\nAnswer: -280*c**3 + 7632108*c**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {r: 2, i: 2, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 90538.86 decades to years.\nAnswer: 905388.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -7. Suppose 4*g + 9 = r. What is the units digit of (-2)\/(-4)*(g + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -121021 (base 3) to base 12\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -2*n**2\/3 + 380*n\/3 - 374 = 0.\nAnswer: 3, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 bigger than 2\/1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106016 is divided by 265?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i - 17*i + 2*r + 2378 = 0, i - 2*r - 1193 = 0. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q**2. Let r(z) = 39*z**2 - 4*z - 70. Let o(h) = -20*h**2 + 3*h + 30. Let t(l) = -7*o(l) - 3*r(l). Give t(u(v)).\nAnswer: 92*v**4 - 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -1059*i + 4232. Calculate q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 1 = -5*y + 24, -3*h + y = -9. Let i = -11222 - -11222. Factor i*b + 0 + 1\/5*b**h - 1\/5*b**2 + 1\/5*b**3 - 1\/5*b**5.\nAnswer: -b**2*(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/462 and 137\/294?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + 3*o - 10. Let u be r(-7). Suppose -u = -25*v + 22*v. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -9*w**2 + 5*w. Let s = 111 - 99. Let t(b) = -22*b**2 + 12*b. Let o(a) = s*n(a) - 5*t(a). Let j(m) = 0*m**2 - 2*m**2 - 7*m**2. What is o(j(p))?\nAnswer: 162*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 535 divide 606690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2136 = -4*j + 8*j. Suppose -2*i = -i - j. Suppose z + i + 426 = 0. Round z to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 1 - (75 + (-65 - (42 + -70)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 240214 and 8164?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -852 + 855. Let j = -365 - -368.06. Let f = 0.06 - j. Which is the nearest to 0.1?  (a) s  (b) f  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 11100010010?\nAnswer: -11100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 382085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2942 = -25*b + 4033. What is the remainder when b is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(140)\/(sqrt(20)\/sqrt(4)*-5) - (1*sqrt(28)*-4 + 2 + (-1*sqrt(28))**2))*-4 + 1).\nAnswer: -605 + 152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 79 + 162 = 4*h + 75, 2*y + 7*h = 2 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = -5*h + 197. Suppose 2*t = h + 21. Let w = t + -32. Calculate the greatest common factor of w and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -410 (base 6) to base 2\nAnswer: -10010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/15  (b) 17  (c) -3\/4  (d) 42  (e) 3.2  (f) 3\/149\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 11, l: 2, n: 7}. Give prob of picking 1 i and 2 l.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1786915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*10.047424\nAnswer: -3.0142272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*n**3 - 1170 + 3*n**3 - 181 - 3*n**2 - 12*n**3.\nAnswer: 2*n**3 - 3*n**2 - 1351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 319.9611km?\nAnswer: 319961100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 386 + 3753. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-5)\/2*(-1)\/5). Suppose -i*b + 7*a = 3*a - 8, 5*b = -2*a + 44. Solve -b*h = -3*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -974 - -977. Which is the closest to 1?  (a) -37  (b) o  (c) 0  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50837, 101698, 152559?\nAnswer: 203420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 648\/5 + 4\/10. Suppose -50*p + 14456 = 506*p. What is the highest common factor of p and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3*n**3 + 1019*n**2 - 1750*n + 20274. What is k(338)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -25 + 29. Let w be (-6)\/(-16)*k*4. Let f be (44 - 28\/(-7))\/1. What is the highest common factor of f and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 583 a factor of 7424828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -551667 by 32451.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 289719.\nAnswer: 3, 32191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2 + ((-28)\/(-5))\/2\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 12874, -3.\nAnswer: -3, -1, 0, 12874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -8*c**2 - 3256*c - 6502. Give y(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, 0.5, 45, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*h = -5*a - 29*h + 3*h + 93, 0 = -29*a - 3*h + 774 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18473685, 18473704, 18473723?\nAnswer: 18473742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22526 + -22521. Solve q + 2*s = -2, -89*s + r = 3*q - 94*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -19, -48, -87, -130, -171, -204, -223, -222?\n\"Answer: q**3 - 11*q**2 - 3*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.4 - 0.49. Let u = y + 0.16. Let k = u + -1.07. Which is the third smallest value?  (a) 5  (b) k  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46639 less than -192.077?\nAnswer: 46446.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 5 - 4*y + 2*y + (-22 - 1 - 105)*(-2 - 3 + 6)*(-2*y + 1 - 1) as q + o*y and give o.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h - 8*h - 8*h to u + q*h and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (8\/(-3) - -7)\/(2\/150). Calculate the greatest common factor of b and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 9) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 484018.6 centuries to decades.\nAnswer: 4840186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 645, 4785, 15935, 37599, 73281, 126485, 200715, 299475?\n\"Answer: 584*x**3 + x**2 + 49*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 3*z**2 - 12398*z - 1615. Let n(i) = -i**2 + i + 21. Let s(j) = -5*n(j) - y(j). What is the derivative of s(g) wrt g?\nAnswer: 4*g + 12393","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 - 4*d**2 - 4*d + 4. What is s(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11322133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.5 - -1.5. Let h = 0.8 + 0.1. Let j = h - 0.7. Which is the third biggest value?  (a) j  (b) 0.1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 3*k - 61, 77 = 3*z - 3*k + 26. Let x(i) = i**3 - 17*i**2 + 18*i - 10. Calculate x(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 44*k. Suppose 291 - 1401 = -263*t + 41*t. Let a(r) = 132*r. What is t*a(i) - 16*q(i)?\nAnswer: -44*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 63845081 a multiple of 1819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -4. Let l(i) = -4*i + 3*i + 0 - 2. Let h be l(-7). Sort -4, h, k in ascending order.\nAnswer: k, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 313492613?\nAnswer: 7, 44784659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 3*x - 4. What is the units digit of y(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1227 + -582?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.27 plus -17?\nAnswer: -28.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -53\/5  (b) 0  (c) -1\/5  (d) -1  (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/2*b**4 - 3*b**2 + 3\/2*b**5 - 3*b**3 + 3\/2 + 3\/2*b.\nAnswer: 3*(b - 1)**2*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 606 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, g: 12, l: 4}. What is prob of sequence ghl?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 1)*-3*-2 + -1 + (2*sqrt(1331))**2.\nAnswer: 6*sqrt(11) + 5329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -157935, -314538, -471141, -627744, -784347?\n\"Answer: -156603*l - 1332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -146 (base 13) to base 2.\nAnswer: -11100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 6*j + 7800005. Let z be (-1 - 1)*20\/8. Let l(d) = -5*d - 7800004. Let w(p) = z*l(p) - 4*a(p). Let x be w(0). Round x to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4629691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 21*o + 20. Let g(d) = d**2 - 2*d - 15. Let w be g(5). Let k be (4 - 0)*(-12 + 13) - w. List the prime factors of t(k).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -570be?\nAnswer: 570bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 15  (b) -11\/106  (c) -2\/25  (d) -1  (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*g + 23*v - 27*v, 0 = -g + 4*v + 15. Sort g, -5, -1, 14, 2 in descending order.\nAnswer: 14, g, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**2 + 9*s + 8. Suppose -3*n - 4 = -2*n. Let j be o(n). Suppose -1053 = -7*d + 2*d - 2*k, j*d = 3*k + 847. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88163874.\nAnswer: 2, 3, 4897993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2639*h - 12 + 12 + 2621*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 6618.\nAnswer: -2647.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4056.39 + 4056. Which is the second smallest value?  (a) -9  (b) h  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -591144*p**3 - 16*p - 249649 wrt p?\nAnswer: -3546864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -674 or -639?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*y + 34*y - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*l**2*r*u**2 + 12*l**2*r - 27*l**2 + 2*l*r*u - 673*l*u**2 + 2*r wrt l.\nAnswer: 22*r*u**2 + 24*r - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 36671.8894 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 6 - -10 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -601 - 1032 = -z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of -1\/24*t**6 + 0*t**5 - 2*t**2 + 0 + 1\/6*t**3 + 0*t + 0*t**4. Suppose 4*k = 2*h + 18, 4*h - 3*k = 5 - 21. Calculate u(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a century in years?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of 1217*w**5\/20 + 526*w**3\/3 + 1257*w. Find the second derivative of d(r) wrt r.\nAnswer: 7302*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -140*h**4*u + h**4 - 6*h**3*u**2 - h**3 - 457*h**2*u**2 + 8*h**2 wrt h?\nAnswer: -3360*h*u + 24*h - 36*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3538.61*-6.\nAnswer: -21231.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7000 and 5530.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -165588 + 165586.27393. Let y = o - -1.73. Round y to four decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7581233515 - 4006034109. Let h = -3575199493.99999959 + t. Let c = h - -88. Round c to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p - 3. Let m(w) = -3*w + 4. Let y(d) = -3*m(d) - 4*q(d). Let u(k) = -6*k**2. Calculate y(u(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32\/3 - 20\/3*n**3 - 22*n**2 - 80\/3*n - 2\/3*n**4.\nAnswer: -2*(n + 1)**2*(n + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7192*h = 6377*h + 69275 for h.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1384976, 1384974, 1384972, 1384970, 1384968, 1384966?\nAnswer: 1384964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + 332306712?\nAnswer: 332306715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 28 + -28 + (3 - 0) + (5 - 7) + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*s + 132*s + 32*s + 107*s to the form q + v*s and give v.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 43. Let c(g) = 2*g**2 + 6*g - 6. Let b be (-276)\/(-161) + (-4)\/(-14). Calculate the lowest common multiple of o and c(b).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {v: 1, q: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 7:53 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 13*v - 275. Let j be x(21). Let h be (j\/12)\/((-5)\/(-6)). Which is the nearest to -1\/3?  (a) 0.5  (b) -3  (c) h  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/2*8\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -537*c**3*q**3 - 17*c**2*q**3 + c**2*q**2 + c**2*q wrt c?\nAnswer: -3222*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -70201.99999962173 - -70202. What is q rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*r + 218. Suppose -21 = -4*g - 3*z + 34, -5*g + 60 = 2*z. Calculate the lowest common multiple of r and g.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1155 and 1991?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35207 - -35228. Let x(j) = 2*j**3 - 42*j**2 - j + 14. Give x(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-13)*w*w)**(-3)\/(w**(-5\/6)\/(w*w*w**(-5)*w*w)))**(-1\/5) assuming w is positive.\nAnswer: w**(-179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000054952 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1096001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand p - 2*p**4 - p + (-2 - 2 + 2)*(-1 - 2*p**4 + 1) + 11*p**4 - 92*p**2 - 8820235*p**3 + 8820235*p**3.\nAnswer: 13*p**4 - 92*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2025, 1824, 1623, 1422?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8136656.065 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**4)**(15\/8) assuming n is positive.\nAnswer: n**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.91 * 0.2.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/22 - (1177889\/(-142065) - -8) - (-16)\/(-360).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 0 + 2 - 100*m in the form u + j*m and give j.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2375.344*1\nAnswer: 2375.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 64960 and 3648.\nAnswer: 3702720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 332, 598, 1040, 1658, 2452, 3422, 4568?\nAnswer: 5890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1205483 (base 9) in base 15?\nAnswer: cd9c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 12729*y + 216397. Determine d(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 61 - 83. What are the prime factors of (2*(1 + k))\/((-20)\/10)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -19*m**3 + 4*m**2 + 62*m + 230. Give c(-4).\nAnswer: 1262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11395 is divided by 9240?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (m**2 - m**2 + 4*m**2)*(-2 + 4 + 2)*(-10*m + 0*m - m) as y + i*m**2 + j*m**3 + g*m and give j.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5720, 6589, 8946, 13535, 21100, 32385?\nAnswer: 48134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31256.775 minutes to days.\nAnswer: 21.70609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o + 3. Suppose 0*t + 4*t + 2*y - 12 = 0, -5*t - 3*y = -14. Suppose w - t*k = -15, w + 5*k - 1 = 11. What is q(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((35\/25 - -1) + (-22)\/55)*-4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 212\/12 + 1\/9*3. Is 19 a factor of q\/9 - (-414)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l\/l**7)*l**(-2)\/l*l**(2\/7)\/(l*l*l**(-10\/9)\/l) assuming l is positive.\nAnswer: l**(277\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -373 - -379. Suppose 18*l + 54720000 = -u*l. Round l to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -2\/12277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51240.\nAnswer: 2, 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3591739 is divided by 97074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of -p**5\/20 - 11*p**4\/12 - 3*p**3\/2 + 6*p**2 + 6*p. Let h be l(-10). Solve 0 = 4*v - 4*a + 12, -a - 21 = 3*v + h*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 0*z + 0*z - z. Let c(o) = -3*o + 3*o + 3*o. Determine s(c(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43 + 46 - 126 - 131*c + 36)*(0 - 8 - 1).\nAnswer: 1179*c + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-447)\/149)\/(1\/((-4)\/15)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*m + 28. Suppose 2*i - 29 = -1. Suppose s - i = -m. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 6*n**2 + n - 6. Is u(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-21*p + 20*p - 37*p)*(4 + 0 - 2) in the form u*p + x and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 942759?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 95 + (1427 - 1487)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*a + 8*a = 60. Put 168, 0, a in decreasing order.\nAnswer: 168, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3353361775 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + -4)\/((-4)\/24). Let n be (q\/4)\/((-2)\/(-40)). What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 12*b - 390 = 0. What is the derivative of -2 + b*d + 87*d - 82*d wrt d?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -692 - -692. Which is the closest to 0.1?  (a) -5  (b) -1  (c) -0.4  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12130128 divided by -15672.\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*q**5 + 2*q**5 + 2*q**5 + (4*q**2 - 3*q**2 - 4*q**2)*(q**3 + 3*q**3 - 6*q**3).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343)*1*6 + -2*sqrt(343)*-6 + 5)**2*4.\nAnswer: 5040*sqrt(7) + 444628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2625, 2610, 2605, 2616, 2649?\nAnswer: 2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5983*c**3 - 4*c + 4*c + 2991*c**3 + 3000*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.36 - 0.36. Which is the nearest to -0.1?  (a) d  (b) 0.02  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5490)\/21 + 8\/(-14). Let f = -237 - b. Calculate the least common multiple of f and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 360183831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 111599236 to the nearest integer?\nAnswer: 10564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -4. Let r be ((-25)\/(-5))\/(-5) + i. Suppose 0 = x - 4*d + 11, -r*x - 2 = 3*d - 13. Which is the closest to x?  (a) 0.1  (b) -2\/13  (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 64106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -311*r**3 - 3*r**2 + 1397*r**3 - 152*r**3 - 2.\nAnswer: 934*r**3 - 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and 2758.\nAnswer: 2758.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (1 - 1) + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 49568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (141*s - 141*s - 117*s**3)*(1 - 3 - 2*s + s) in the form u + z*s**2 + y*s**3 + o*s + n*s**4 and give n.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -1.9. Let p = -0.3 + 0.3. Which is the closest to p?  (a) -0.2  (b) o  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -60 + 68. Let l = 33 - q. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7421772*o**3*q**2*z**2 - 123*o**3 - 8298*o*q**2*z + 4*q*z wrt z.\nAnswer: -14843544*o**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 5*j = 6 + 11, -2*j = -p + 11. Suppose 70 = r + 3*w, -55 + 223 = p*r - 5*w. Suppose 18*o = 19*o - r. What are the prime factors of o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 22603, 1, -4, 42 in increasing order.\nAnswer: -4, -3, 1, 42, 22603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 201286*d**3*f**2 - 479*d**2*f**2 - 6*d*f - 1 wrt d.\nAnswer: 1207716*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19 and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-18))\/(6\/(-18))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 273 - 276. What is the smallest value in d, 2, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5698, -3, -1, -5 in increasing order.\nAnswer: -5698, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 15023081.25 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-46)\/23*2\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.041537771 to 5 dps.\nAnswer: -0.04154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 32*s + 5 + 70*s.\nAnswer: 38*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1522 + 1640. What is the smallest common multiple of 26 and b?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, d: 1, q: 1, c: 1}. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/(-80) - (-1242)\/(-180). Let y(l) = -2*l - 13. Let r(m) = -6*m - 40. What is h*y(p) + 2*r(p)?\nAnswer: 2*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20 - -45. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 177*-2\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -31 + 43. Let n(w) = w**3 - 3*w**2 + 2*w - 1. Calculate n(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + -363. Let s = i - -511. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 11:48 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1512 and 900?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-95)\/(-10)*6 - 0 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 32*o - 45226 = 26*o, 4*v + 4*o - 181064 = 0. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from vvowwwoyeeewvyeyo.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -29700 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((0 + sqrt(1872) + 2 + sqrt(1872) - sqrt(1872)) + (sqrt(1872) - 2*3*sqrt(1872)))**2.\nAnswer: -119824 + 768*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 34549426 smaller than 34549425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 1705*r + 261. Is z(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, -8, 0.9196, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(4)*-3)*1.\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -178*r + 177*r + 46, -3*k + 30 = r. What is the lowest common multiple of 9390 and r?\nAnswer: 9390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -415 (base 6) to base 13\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 1 + 6 + -5. Let f(r) = r**2 + 4*r - 8. Let x(j) = -j + 1. Let k(y) = l*f(y) + 4*x(y). Factor k(u).\nAnswer: (u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j**2 - 4*j - 7. Let h be 3\/(3\/(-6)*-2). Let n(p) = 0*p - h*p - 6 - 5*p**2 + 3*p**2. What is 6*n(r) - 5*u(r)?\nAnswer: -2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -129199 and 2.5?\nAnswer: 129201.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3*j**2 - 6*j + 5. Let s be -2*1\/(2\/(-4)*-1). Let z(p) = 0*p - p**2 + 3*p**2 - 5*p + 4. Calculate s*h(x) + 5*z(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 - 29445.9.\nAnswer: -29445.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -240*r**2 - 34*r wrt r?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2747125 and 6?\nAnswer: 16482750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 6*m - 20. Let s be n(4). Which is smaller: s or 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 2828*a + 2802*a - 2.\nAnswer: -26*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1572 divided by 1388.\nAnswer: 393\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -65 - -70. Sort 2\/3, 1\/5, 1, y in increasing order.\nAnswer: 1\/5, 2\/3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x + 1. Suppose 8 = -4*h + 2*h. Let i be 0\/(2 + h) + -2. What is q(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + 4*x - 1. Suppose 0 = -5*q + 5*z - 10, 2*q - 5*z = 2. Give r(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2222638 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -30?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*m**4 - m**3 + 3*m - 47*m**2 + 8*m**2 - 1 - 4*m**4 - 2*m**4 + 4*m**4 to the form y*m + q + p*m**2 + k*m**4 + s*m**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35542 - -74913. Suppose 0 = -18*r + t + 60763. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -6211.\nAnswer: 2484.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -452 (base 16) to base 2\nAnswer: -10001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3731943378.\nAnswer: 2, 3, 53, 1499, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*h**2 - 5 - 20*h**2 - 24*h**2 - 3*h**2 - 7*h**2 - 20*h**2.\nAnswer: -44*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-54)\/3*(1 - -3). Let p = 115 + b. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 divided by -3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 9 + 3 - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - 52*q**2 + 41*q - 148. Does 8 divide a(-53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -22*j - 152. Let f be r(-7). Solve -f*d + 3*v - 1 = 2, -v = 5*d + 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, e: 9}. Give prob of picking 3 c.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12137, -24301, -36527, -48845, -61285, -73877, -86651, -99637?\nAnswer: -112865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -61, -405, -1327, -3115, -6057, -10441?\n\"Answer: -48*z**3 - z**2 - 5*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 10, -1, -3, 86\/11, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 285 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36347642 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 932 + 1?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = w - a + 19, -a = -5*w + 325. Let f be (-1 - -7*1)\/2. Let d be (1\/f)\/(4\/156). Calculate the greatest common divisor of w and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -415136?\nAnswer: -1245408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of w**5\/60 + 7*w**4\/36 - 40*w**3\/9 - 96*w**2 + 27*w + 5. What is y in v(y) = 0?\nAnswer: -8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n + 2*n - n. Let y be (-17)\/(-3) + (-6)\/9. Let r(p) = y*p - 4*p + 0*p. What is c(r(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12781032 to the power of 1\/2, to the nearest integer?\nAnswer: 3575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -688, 379?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 139*c + 51. Let l be d(-3). Let h = l + 360. Which is greater: -9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 12, 28, 44?\n\"Answer: 16*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 5*g - 14 - 13 = 0, 0 = -2*j + 5*g + 18. Solve -j = -7*z + 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16 or -21590?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 19*v**3\/2 - v**2\/2 - 6*v. What are the prime factors of o(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88600817?\nAnswer: 1381, 64157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 93 - 97. Let i(b) = -b**3 - b**2 + 4*b - 20. Let k be i(g). What is the highest common factor of 732 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-396)\/((-90)\/10) + -22 + 46?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 2*i - 40247 - 31972, 0 = -2*i + 4*t + 72218. What are the prime factors of i?\nAnswer: 3, 12037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 - 2*2\/4. Let d = -5119\/415 + 2\/1245. Let w = d + 113\/9. What is the third smallest value in k, w, -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -0.3, 3, 0 in ascending order.\nAnswer: -0.3, 0, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 127775155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l and 1 u when four letters picked without replacement from lluldllllullllu?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 75 + -53. Suppose 6*p = 5*p + a. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*u**5 + 25*u**4 - 40*u**3 + 30*u**2 - 10*u + 1.\nAnswer: -(u - 1)**4*(6*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/9 - 29\/(-9). Let j(r) = 4*r**3 + 3*r**2 + r + 2. Let z(l) = -l**3 - l. Let y(k) = b*z(k) + j(k). What is y(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1750, -3526, -5324, -7156, -9034?\n\"Answer: -2*s**3 + s**2 - 1765*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of -171*l**5\/20 + 11*l**4\/6 - 7*l**2 - 1010*l. Find the third derivative of p(o) wrt o.\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/14)*d**16\/d)\/(d**7)**(-4) assuming d is positive.\nAnswer: d**(601\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 186*c = 154*c + 765359 + 883889. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 8026*z - 3*u - 51 = 8020*z, -4*u - 68 = 160*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -7*g**2 - 9*g - 1. Let r(n) = -13*n**2 - 17*n - 3. Let o(j) = 11*p(j) - 6*r(j). Let v = -7 - 0. What are the prime factors of o(v)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 4 - 2 - 1 + 5 + (-4 + 2 + 3)*(0 + 0 - 2) - 1 + 3 + 0 + 30 - 3 + 43)*(5*c - 2*c - 2*c).\nAnswer: 70*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -56*a**2 + 112*a**2 + 2 + 4*a - 59*a**2 + 0. Let l(o) = -2*o**2 + 2*o + 1. Let s be -2 + -1*(0 + 1). Give s*h(k) + 5*l(k).\nAnswer: -k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-19)\/j)\/(j**38\/j))\/(j\/(j*j**(2\/27)))**47 assuming j is positive.\nAnswer: j**(-1445\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6584185 centuries to millennia.\nAnswer: 0.06584185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.36853528 + -32.63149072. Let q = n - -33. Round q to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7, 0.034, -7, 0, 32, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxsxxximsmmxsxsisxcc. What is prob of sequence xsi?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 66 - 156. Suppose -j + p = 119, 5*p - 473 = 4*j + 2*p. Let w = q - j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 3)*(-4*p**2 + 0*p**5 + 2*p**2 + 5*p**5 + (2*p + 2 - 2)*(0*p**4 - 2*p**4 + p**4) - 13*p**2 + 13*p**2 - 18*p**5).\nAnswer: -60*p**5 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 + 6*g**2 - 2*g - 6. Let z be c(5). Suppose z + 6 = k. Let i be (2\/5)\/(24\/k). What is the nearest to 0 in -3\/4, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**3 + 20*n**2 - n**3 - 5*n**4 - 20*n + 10*n**3.\nAnswer: -5*n*(n - 2)*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 906437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -10  (b) -2\/25  (c) -27  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of -r**5\/6 + 5*r**4\/8 - 5*r**2\/2 + 10. Let x(b) be the second derivative of s(b). Find the second derivative of x(m) wrt m.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide (-1)\/(-4) + (-2093)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -210 + 124. Let j = r + 94. Solve 0 = 5*v + 17 + j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -21 + 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*b + b. Suppose b*m - 22 = -3*t + 22, -m = -4. Suppose t*s = 8*s - 3280000. Round s to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 14015820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 AM and 10:50 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/900*5*-3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3919 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oppppppoopo. Give prob of sequence poop.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 6. Suppose -a + t*a - 70 = 0. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15322, 3, 0, -11, 5 in descending order.\nAnswer: 15322, 5, 3, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 plus 22.8?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2*v - 766 = 0, 0 = 3*j - 7*v + 8*v - 1143. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*s + 66 = -20*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i - 9. Calculate f(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 divided by -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ioyo when four letters picked without replacement from {y: 5, i: 1, o: 2, d: 8}?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 7, v: 9}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 516945 is divided by 276.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 72*g**3 - 8*g**2 + 26*g - 4. What is h(2)?\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13966 at most as big as 237446\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -27*r**2 + 176*r + 2. Let x = 603 + -605. Let i(d) = 81*d**2 - 527*d - 7. Let c(s) = x*i(s) - 7*g(s). Find the second derivative of c(q) wrt q.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1232, 2107, 7670, 15457, 25468, 37703, 52162?\n\"Answer: 1112*n**2 + 3*n - 2347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 241968.5ng to kilograms.\nAnswer: 0.0000002419685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1611 = -5*g - 1139. Let n = g - -12153\/22. What is the common denominator of 1\/(-22)*31*1 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192296 is divided by 614.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/11*-8*(-9)\/(-288)*-1.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 5*q = -3*f - 16, 0 = 5*f + 5*q + 30 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-17805)\/(-13057))\/(-4*4\/(-176))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110012112221 - -10?\nAnswer: -110012112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 135056.3ns in microseconds?\nAnswer: 135.0563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6478 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: Let v(l) = -35*l + 1635. Determine v(47).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p + 11 = 21*p. Calculate the greatest common divisor of p and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g + 2. Give t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2783, 5707, 8633, 11561, 14491, 17423, 20357?\nAnswer: 23293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, -163, -406, -789, -1336?\nAnswer: -2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1\/((-3)\/2 + 2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + t = 5*y - 79, -5*y - 3*t + 87 = 0. Does 24 divide y\/10*3*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 6:01 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*p - p + 2*p)*(-2 + 1 + 0)*(-1 - 3 + 2)*(-6*p + 7 - 7) to the form o + k*p + b*p**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/6 and -89\/31824?\nAnswer: 31824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13566.\nAnswer: 2, 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 113509636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 173 - 97. Let q = 45 - n. Let u = q + 52. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 654823 and 187?\nAnswer: 7203053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + (7 - 9) - 19) + -13 + 3 + 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, -4, -0.6, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1 and 670800.\nAnswer: 670800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 14570000 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1731*o + 1729*o**2 + 1731*o)*(o - 4*o + 5*o - 3*o + o + 3*o + (3*o - o - 4*o)*(2 + 1 - 4) - 3*o + 5*o + 0*o) as v*o**2 + m + w*o**3 + g*o and give w.\nAnswer: 12103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: 123303220130 (base 4) to base 7\nAnswer: 115646546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/9*-2)\/((-6)\/(-9)). Put h, -6, 4, 5 in decreasing order.\nAnswer: 5, 4, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = 11*n + 75 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189)*-2*-1 - 1*sqrt(189)*6)\/(sqrt(147) + 5*sqrt(147)*2 + sqrt(147) - sqrt(147)) + -2.\nAnswer: -2 - 12*sqrt(7)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8)\/(-24) + 1\/(-3). Suppose 2*d + 9 = 3*g, 0 = 4*g - 3*d - t*d - 11. What is the remainder when 12 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123486 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 106276135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/387 and -91\/162.\nAnswer: 6966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 12915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q**2 - 29*q + 88. Let i be k(-17). Factor -2*c**2 - 4*c**3 + 3*c**2 + 20 + 40*c + 9*c**i + 24*c**2.\nAnswer: 5*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -2\/5  (c) -4  (d) 2\/15  (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-6) - (-9)\/(-6). Let d = 0.406 + -0.606. What is the closest to w in -2, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 231, 943, 2133, 3801, 5947, 8571?\n\"Answer: 239*r**2 - 5*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qvvvvqvqoqvoo. Give prob of picking 2 q and 1 o.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 222154 + -158499. What are the prime factors of v?\nAnswer: 5, 29, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of a**5\/15 - a**4\/24 - a**3\/6 + a**2 + 2. Let p(i) be the second derivative of n(i). Does 17 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 120270 - -380467. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34 and 6358.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 + -1 + 11 + 3. Suppose 4*d = 3*x + 285 + 53, -l = 5*x. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 - -19. Let h = -46 + v. Solve h*i = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*q + 40. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -53624 by 13406.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4461480?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*v + 0*v - 47*v)*(0*v**2 - v**2 - v**2) + 1 + v**3 + 2*v**2 - 1.\nAnswer: 81*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 3*i - 19 = 0, -212*i = -209*i - 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (10\/2 - (7 + -6)) + 94. Let o = y + -678\/7. Determine m, given that -2\/7*m**4 + 0 + o*m - 16\/7*m**2 + 10\/7*m**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -13650*x. Let b(n) = -29*n. Give a(o) - 3*b(o).\nAnswer: -13563*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6549186669.\nAnswer: 3, 2183062223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 3)*(-6*a**2 + 6*a**2 - 3*a**4) - 32*a**4 + 1 - 2 + 8909*a**2 - 8908*a**2.\nAnswer: -26*a**4 + a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, 0, -2, 635960 in decreasing order.\nAnswer: 635960, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -7*h**2 - h - 2. Let r(t) = -22*t**2 + 11*t - 1. Let j(c) = 3*d(c) - r(c). Let b(p) = -p**2 + 15*p + 6. Determine 5*b(i) + 6*j(i).\nAnswer: i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 13*n**3 + 4*n + 8. Let j(k) = 9*k**3 + 3*k + 5. Let y(c) = -7*j(c) + 5*p(c). Is y(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 312606 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - (2 + sqrt(468)))**2*-3.\nAnswer: -987 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (4 + sqrt(637)*3)**2.\nAnswer: 168*sqrt(13) + 5752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 14.1. Let h = -0.1 + n. Put 1\/4, h, 1 in increasing order.\nAnswer: 1\/4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, e: 4, r: 2}. Give prob of picking 1 s and 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 - u - 1. Let z(i) = 14*i**3 + 14*i**2 + 12*i. Let y(j) = -28*j**3 - 32*j**2 - 28*j + 1. Let c(d) = 3*y(d) + 7*z(d). Determine -c(w) - 3*p(w).\nAnswer: -14*w**3 + w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 24*k**2. Suppose 177 = 3*p - 114. Suppose 77 = 3*b - p. Let u(a) = -58 - a + b. What is q(u(r))?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -212*i - 71*i + 4811 = 0. What is the remainder when 19311 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 375*r**5 - 841200*r**4 - 41911470*r**3 - 73622844*r**2 - 43810065*r - 8725644 = 0.\nAnswer: -47, -3\/5, 2292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -821445 from -17.\nAnswer: 821428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -767.924368 plus 392.4?\nAnswer: -375.524368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -62 + 53 + 4*b + 0*b. Let o be g(4). Solve o = 2*t - k, -3*t + k + 3 = 2*k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4*j**3 + 3*j**2 + 3. Let s(v) = -5*v**3 - 4*v**2 - 4. Let q(d) = -4*b(d) - 3*s(d). Let o(t) = 7*t**3. Give o(w) + 5*q(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1116, 4, -1150.\nAnswer: -1150, -1116, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -2*m + 7*m. Suppose -g - 3 = f, -6*f - 12 = -m*g - 2*f. Determine u, given that 4\/11*u**3 - 2\/11*u**2 + 0*u + g = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 + 2*g**2 + g. Let a = -61 + 60. Let p be z(a). Suppose p*h + 50 = 5*h. What is the least common multiple of h and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.2  (b) -1  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 395266.9 years to millennia.\nAnswer: 395.2669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -48520841 - -65\nAnswer: -48520776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4938, -13, 1, -374 in decreasing order.\nAnswer: 4938, 1, -13, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d + 5. Let f be y(-7). Let i(s) = -s**3 - 2*s**2 - 4*s - 3. Let n be i(f). Let u(o) = -2*o**3 - 1 - o**3 + 2*o**3 + 5*o**2 + o. What is u(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*d**4 - 198516*d**3 + 3216873978*d**2 + 2222592084060*d + 376053599163675 = 0. What is d?\nAnswer: -335, 33421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3*v**2 - 4*v + 1. Let a(o) = 4*o**2 - 5*o + 1. Suppose 0 = -2*n - 0 - 8. Let l(k) = n*a(k) + 5*g(k). Let m = -598 + 600. Determine l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of -8*t**2 + 0 + 0*t**3 + 0*t**4 + 22*t + 0*t**5 - 16\/15*t**6. What is the derivative of u(x) wrt x?\nAnswer: -128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 44 + -44. Suppose n = -4*y - 4*o + 8, -4*y - 3*o + 8 = 2*o. Find the third derivative of 3*b**y + 23*b**3 + 5*b**2 - 8*b**3 + 9*b**2 wrt b.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 799*r + 1519*r + 773*r)*(-3*r**3 + r**3 + 3*r**3).\nAnswer: 3091*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + (3 - -6 - 3). Suppose 191 = -y*s - 4*b + 60, 0 = 4*s + b + 107. Let v be 2\/6 + (-399599991)\/s. What is v rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 65 - 27 = 0. Suppose 3*y = q + 21, -2*y = -q + 3*y - x. Is (-10)\/(-45) + (-6026)\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-15)*(2316\/24318)\/((-20)\/(-126))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 6*t**2 + 1160*t - 394. Calculate f(0).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 444*s**2 - 216*s**2 - 226*s**2. Let q(x) = x + 1. Let u(k) = -11*k + 11. Let n(o) = 11*q(o) - u(o). What is r(n(c))?\nAnswer: 968*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 2*k**2 - 5*k - 2. Let x be o(-3). Suppose t + x*t - 102 = -4*p, -3*t = 3*p - 60. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 times -1409?\nAnswer: 49315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-2\/21))\/((c\/(((c**(-3\/2)\/c)\/c)\/c))\/c))**24\/((c*c\/c**(-1))**(-1\/42)\/(c**(-2\/7))**35) assuming c is positive.\nAnswer: c**(-1347\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 89720480 divided by -11215060\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-1*4 + -1). Let j = 0.07 + -0.97. Let z = -0.4 - j. What is the third smallest value in -2, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of -1\/2*u**3 - 1\/20*u**5 - u**2 - 2*u + 0 - 1\/4*u**4. Let n(a) = a**2 - 3*a - 2. Let m be n(3). Calculate z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 7*d - 2*d. Let k(p) = 16*p**2 - 4*p + 7. Is k(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -133*w - 4. Let h be r(3). Let t = h + 6043\/15. Let o = 26 - 23. What is the second smallest value in t, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 86637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 64816.\nAnswer: 64816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37 + -38 - (135\/24 - 3) and -35\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191752 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6185\/(-15))\/((-2)\/(-12)). Let q = -14515\/6 - c. Let g = -55 + q. Sort g, -0.01, -4 in increasing order.\nAnswer: -4, g, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from sussysqq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -2. Suppose h = -3*h + 20. Solve 0 = -l*o + t - 11, 5*o = -4*t + 5 + h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -1, 0.4727?\nAnswer: 0.4727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-48)\/9 - 4\/(-12). Let f(p) = -p. Let h(w) = -w**2 + 5. Let q(j) = -5*f(j) - h(j). What is q(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226392 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5912 - 5908. What is the fourth smallest value in 4\/9, d, -1, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-36))\/(6\/27)*6 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/12)\/((-450)\/480).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 15*p**2 - 17*p + 19. Calculate w(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -4*s**2\/5 + 279655104*s\/5 - 4887936074578176\/5 = 0?\nAnswer: 34956888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 34 = -38. Calculate the greatest common divisor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 1 - 0 - 10 - -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 92 = -3*w, -s + 20 = -w - 0. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 + 13*l**2 - 31*l + 8. Suppose 80*q - 64 = 72*q. List the prime factors of a(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 3:31 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -7.4.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 7*c**4 - 7*c**3 + 26*c**2 - 34*c + 23. Let r(o) = -9*o**4 + 9*o**3 - 27*o**2 + 33*o - 24. Let p(u) = -5*r(u) - 6*t(u). Let p(n) = 0. What is n?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 36 - 84 + 50 - 1344*s**4 + (-3*s**3 + 6*s**3 - 2*s**3)*(-2*s - 2*s + 8*s).\nAnswer: -1340*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 10036734, 20073470, 30110206, 40146942, 50183678?\n\"Answer: 10036736*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 n when four letters picked without replacement from ulunjnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 154939407?\nAnswer: 3, 7, 7378067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/(-330))\/((-19)\/11).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 362 by -244.\nAnswer: -181\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x**2 + 481299*x - 481299*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -705*n**3 - 1. Let j be d(-1). Let k = 44 + j. Suppose 3*q = 152 + k. Round q to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 108 - 288. Let i = a - -587. Round i to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 2*x**4 + 21384*x**3 - 3384890*x**2 - 3406272*x = 0.\nAnswer: -10848, -1, 0, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**26*r)**(-2) assuming r is positive.\nAnswer: r**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -b + 277, 23 = t - 2*b - 28. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (52 - 64 - 11) + 3 + 9 + -3 + 107?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 + 8*o + 2. Give a(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k. Let w(b) = -b - 3459. Give h(w(t)).\nAnswer: 2*t + 6918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 59*a**3 - a**2 + 6*a - 7. Calculate the remainder when 397 is divided by k(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25061 - 25001. Calculate the greatest common factor of s and 14380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/28)\/((-2)\/4). Let s = h + -5\/14. Which is the closest to s?  (a) 2\/3  (b) 0.2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 + i + 110. Give n(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -10947, -10249, -9551?\n\"Answer: 698*j - 11645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1066\/104*10*(72\/30)\/6\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2*i + 2 - 3)*(305*i**3 - 7427 + 7427) to the form q*i**2 + w + z*i + j*i**4 + o*i**3 and give j.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-6)*x*x**5*x*x**(2\/5))\/((x**1*x\/(x\/(x\/(x*x*x\/((x*x**(3\/5))\/x)))))\/((x\/x**5)\/x*x\/x**2)) assuming x is positive.\nAnswer: x**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -38 - -77. Let d = q - 27. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/3400 and -81\/9460?\nAnswer: 1608200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6332 - -6360. Solve -w - d = 5*t, -3*w = -t + 4*t + 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118718505 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 194936?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 17\/4, 8, -42, 0, -1\/10, 1.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.90181 to two dps.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 629745 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14503 = 20*f - 577. What is the highest common divisor of 1566 and f?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -68, -19882 in descending order.\nAnswer: 0, -5, -68, -19882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3170665031?\nAnswer: 11287, 280913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k = 5*k + 18. Let z be (-11)\/k + 1 - (-105)\/108. What is the second smallest value in z, -1, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5875249613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38 + 50. Suppose -p + 3*t = -14, -6*p + 5*p + 4*t = -u. Suppose 5*h = -0*h - l - p, h + 4 = -5*l. Sort 4, -2, 9, h.\nAnswer: h, -2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5420575 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -506234 (base 7) to base 13.\nAnswer: -30320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*l + l**3 - 29 + 7*l - 6*l**2.\nAnswer: l**3 - 6*l**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 79480829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + -2 - (0 - 31). Suppose -d = -4*q + 15. Solve 4*b - 3*l + l - q = 0, 3*l - 32 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -226213.6 times 0.08\nAnswer: -18097.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3, -29, -119, -297, -593, -1037, -1659, -2489?\n\"Answer: -5*i**3 + i**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 40 - -400?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 13*g + 20. Let z(v) = 7*v + 12. Let y(n) = -3*m(n) + 5*z(n). Let j(w) = -12*w. What is j(y(f))?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20462 - 20451. Solve 52*x = 3*p + 54*x + 13, -p - 4*x = y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i + 1. Let o(k) = -8*k + 3. Suppose t + 19 = 4*c, 0*t - 3*t - 4*c = -23. Let g(f) = t*o(f) - 2*x(f). Let d = -9 - -11. Calculate g(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 25. Let d = 1 + 2. Suppose 4*b - 4 = -0*b. Solve b + i = -d*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*m + 987*m**3 - 503*m**3 - 499*m**3 - 10*m.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3134777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 82 + -1419. Let y = b + 1981. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 900*q - 919*q + 25498. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 - (-11127)\/12)\/(-1). Let w = 33517\/36 + t. Calculate the common denominator of 70\/3 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -270662 - -0.9?\nAnswer: -270661.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10711 by -1014.\nAnswer: -10711\/1014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -3*g - 2*g + 3*n, -6 = -2*g - 3*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 + 10*u - 12. Let t be r(8). Suppose q + 0*k - 25425 = -t*k, 0 = 6*q + 4*k - 152470. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1030130 (base 4) to base 12\nAnswer: -29b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(1377) + 4 + (sqrt(1377) + 1)**2 + sqrt(1377) - ((sqrt(1377) - (-1 + sqrt(1377)))**2 + 0)).\nAnswer: -6905 - 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 + 31434*w + 817972. Calculate j(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 45.6  (b) 35\/6  (c) 1\/6  (d) 4\/3  (e) 64  (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v - 5. Let b be c(10). Suppose -3 - 7 = -5*k - w, -4*k + b*w = -37. Solve 0 = -k*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 269998 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-70720)\/(-325))\/(3\/30). What is the highest common factor of v and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 42  (b) -1  (c) 190\/9  (d) -2\/11  (e) -2  (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2 + 4*j + 7. Let c be 1 + (3 - 1) + 48. Let g = -34 + c. Suppose -5*y = -2*l + 12, -2*l + g - 5 = 2*y. Give v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00967014423 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 9 - 4)*(-4*r**5 + 3*r**5 + 6*r**5).\nAnswer: 35*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*p = 175738 + 34823. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - -3. Let c be (1 - 21\/(-9))*3. Suppose q = -4*q - c. Sort z, q, 0 in ascending order.\nAnswer: q, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-5) - 21\/105)\/(-1 + 2). Let j(c) = -c + 1. Let z(h) = 9*h - 15. Calculate w*z(p) - 6*j(p).\nAnswer: -3*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32825121?\nAnswer: 3, 7, 1563101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -124457 divided by -7?\nAnswer: 124457\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97*q + 190*q + 11 = 94*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 10 = -5*r, -w + 0 = -r - 8. Suppose -w*v = -42 + 27. Solve -4*y - 36 + 11 = 3*t, t = 2*y + v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 5*i = -26, -4*i + 17 = -1354*h + 1351*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*t + 2311 - 5*t - 13166 + 0*t - 9497 as v + q*t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 2*a + 18 = -3*o, 0 = o + 5. Let u = -13.5 + 13. What is the nearest to a in u, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12503 is divided by 6214?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of h**2\/2 - 2*h + 2. Let g be y(6). Let q = -3 + g. Are -1 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*n + 2*n**3 + 9315731 + 0*n**3 - 9315681)*(3*n + 0*n + 0*n).\nAnswer: 6*n**4 + 81*n**2 + 150*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1022332 + -11?\nAnswer: -1023003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 6. Let v be q(-5). Suppose 3*o - v + 31 = 0. Is (25\/o)\/(1\/(-12)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 3702 + 3699 - 7401 + r**2. Let i(v) = 2818*v**2. What is x(i(l))?\nAnswer: 7941124*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10711, 10230, 9429, 8308, 6867?\nAnswer: 5106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n + 6. Let s be (-4)\/3*(3 - -3). Let v be z(s). Sort -4, 0, v in decreasing order.\nAnswer: 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 207 + -199 + (0 + (0 - 1) - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29031851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8, -7\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a**2 - 7*a + a**2 - 7*a to the form o*a + i + u*a**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is cc - 72?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/101716 or -1?\nAnswer: 1\/101716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2*(-3)\/12)\/((-8)\/(-48)). Suppose c*h + 8*i - 36 = 5*i, i = 5. What is the greatest common divisor of 203 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(350)\/(5*(sqrt(28)\/sqrt(4) - sqrt(7) - sqrt(7))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108\/(-30)*(-140)\/21 - -3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 17 = -4*r, 353*s - 5*r = 123*s + 120*s + 113*s + 2*r + 13 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24\/(-30)*26\/52. Are p and 11512 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1401 (base 6) to base 8\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 - 6*z - 16. Let l(q) = -5*q**2 - 29*q - 80. Let s(n) = -n**2 - 7*n + 2. Let a be s(-8). Let b(j) = a*l(j) + 33*r(j). Factor b(k).\nAnswer: -3*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 16. Let x be 62*(4 + w\/6). Suppose 7*q = -4*q + x. What is the remainder when 152 is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*n = -24029 - 17533 - 141966. List the prime factors of n.\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-5\/4)\/b**(2\/5))\/(b*b**(-1\/3)*b*b*b**0*b) assuming b is positive.\nAnswer: b**(-319\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -18. Solve 4*q + 0*q + 4*x = m, -3*x = -4*q - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 556055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2888?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (-4 + (-11 - 1) + 17 - -85)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 5946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20546, -20472, -20398?\nAnswer: -20324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/28)\/((-298)\/(-10430))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 12*n. Suppose 0 = 28*j - 24*j - 2*z - 8, 0 = -3*j - 5*z - 7. Let w(d) = -3339*d + 1 - j + 3351*d. Calculate -7*m(i) + 6*w(i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - 2 - (-4 - -3). Let y(b) be the first derivative of -2 + j*b - 1\/3*b**3 + 1\/2*b**2. Find the second derivative of y(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4128 and 1056.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (180*o**2 - 171*o**2 - 134*o**2)*(-1 + 2 + 2) - 2*o + o**2 + 2*o.\nAnswer: -374*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 414*u = 877*u - 705*u + 7986 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-15)*(-68)\/1122.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 736340 by -20.\nAnswer: -36817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.8  (b) 0.3  (c) -0.1  (d) -56\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 819.2 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r - 6. Let j be b(4). Suppose 0 = m + 3, -3*d + 5*m = j*d - 25. Suppose -3*z - d = -4*z. Which is bigger: 3\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/6*-9*(-6)\/(-72).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-11 - (-37 + 14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/32 and (-42)\/7 + 153\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, i: 2, a: 3, k: 8, w: 2, n: 1}. Give prob of sequence wa.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/9, 5, 3, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 8) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 263 - 550. Let g = 283 + l. Are -1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 40, 35, 28, 19, 8, -5?\n\"Answer: -k**2 - 2*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xuuuuxx. Give prob of picking 3 u and 1 x.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 3*h + 92910, -80*y - 4*h = -83*y + 69693. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140 - 10 = -15*t. Suppose t*i - 26*i + 16 = 0. Let l(j) = j**3 - 2*j + 1. Let w be l(i). Which is greater: w or -1\/50?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 16*a**2 - 6*a - 6. Let v(r) = -16*r**2 + 5*r + 5. What is 5*u(i) + 6*v(i)?\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -6, -4, -0.2 in descending order.\nAnswer: -0.2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-11120)\/(-4170))\/((-40)\/(-1005))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 7) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9860 divided by -6.\nAnswer: 4930\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -806*c + 808*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**3*h**(-4\/3)*h)\/(h**(6\/7)\/h**5) assuming h is positive.\nAnswer: h**(143\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*k**3 - 15*k**3 - 51888*k**2 + 51883*k**2.\nAnswer: -10*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-2 + ((sqrt(133)*1)\/sqrt(7) - sqrt(19) - (1 + sqrt(19) + 2))*-2 + -5))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3*d**2\/2 + 6526449*d\/2 = 0.\nAnswer: 0, 2175483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = c + 12, -5*c - 2*z + 2 = -10. Suppose 0 + c = 4*v. Suppose 0*j - 3*j = -9. Put v, -1, j in descending order.\nAnswer: j, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.23789 - -0.238. What is z rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 + -19. Let b be (-8)\/h*(-1395)\/(-6). Suppose b = 2*k - 72. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 2*y + 2 - 1, 28 = 2*x + 2*y. What is the lowest common multiple of x and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 PM and 3:04 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 5. Let j be 1\/2*(-9)\/(-60)*(-16)\/6. Sort 4, j, w, -23.\nAnswer: -23, j, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -460 divided by -23.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1182492 is divided by 5972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2348.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 0 = 3. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of k**6\/180 + 25*k**2\/2 + 20*k. Let j(u) be the first derivative of z(u). Factor j(s).\nAnswer: 2*s**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + (130\/15 - 8). Which is the biggest value?  (a) p  (b) 1  (c) 3  (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 4*k + 74, k = -508*x + 511*x - 106. What is the lowest common multiple of 230 and x?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*q + 687364 = 687892 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i + 4. Let h(g) = g**3 + 3*g**2 + 2*g. Let c be h(-2). Let j be n(c). Let y be (-4)\/12 + 2\/3. Sort y, j, -0.3 in decreasing order.\nAnswer: j, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5869697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -252198392 by -248.\nAnswer: 1016929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 4*f = 16, -4*f = -d - 2*d + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-1 - (6 - 0) - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -17697, -13568, -6687, 2946, 15331, 30468?\n\"Answer: 1376*p**2 + p - 19074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3161, 2, 3, -4 in increasing order.\nAnswer: -4, 2, 3, 3161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 484 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 2*o + y, -4*o - 5*y + 12 = 0. List the prime factors of (-2)\/2*o - -17.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 21. Let x = 9 + -5. Let o = s - x. Solve 9*n = 4*p + o*n + 16, 0 = -4*p + 2*n - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -3*t**4\/4 + 42*t**3 - 1719*t**2\/4 + 3045*t\/2 - 1650 = 0.\nAnswer: 2, 5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28221.05 litres to millilitres.\nAnswer: 28221050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from cycclccclccccc.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -3*b - 9. Let w(r) = -3*r - 8. Calculate -4*i(h) + 5*w(h).\nAnswer: -3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1602222 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66 + 86 - (-2 - -35).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0\/(-3))\/2 + 1. Let s be ((-1)\/(-3)*202)\/((-1032)\/(-10224)). Let w = s - 667. Is w at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 6*t + 39. Determine c(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4\/21  (b) -0.6  (c) 3  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2*1)\/(-4))\/(-9 + 2795\/312)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 4*o**2. Let t(v) = 3*v**2 - 7 - 4 + 7*v**2 - 6*v**2. Suppose -3*m - 6 = 12. Let r(a) = -2*a**2 + 6. Let s(y) = m*t(y) - 11*r(y). What is x(s(i))?\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5878 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: -84767*-7401\nAnswer: 627360567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 44.498743481 from -0.2.\nAnswer: -44.698743481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -4, -1, -16.\nAnswer: -16, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + -3 - (2231 + -2175).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2\/7  (b) -5  (c) -8889\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 387 = 1677. What is the remainder when k\/35 - 2\/7 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 295\/1*(-5 + (1 - (-12 + 7))) is divided by 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 495256341.\nAnswer: 3, 31, 5325337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41 + 44. Let l(z) = -z - z - 4 - 2*z + 8*z**2 + 6 - z**h. Give l(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2383 or -2638?\nAnswer: -2638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3 + (37758\/4692 - 5) and -87\/20.\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 23 in -66, 0.5, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/5556 and 125\/5502.\nAnswer: 5094852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1040395164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3587 or -355093\/99?\nAnswer: -355093\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/31?  (a) 2  (b) 0  (c) 2\/7  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 4621, 8, -1.\nAnswer: -7, -1, 8, 4621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1422.9 times -33810?\nAnswer: -48108249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 677007 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 244 - 89. Suppose -39*c + 38*c + x = 0. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -97*a**3 + 32*a - 94*a - 98*a + 7*a**3 - 109*a**3 wrt a?\nAnswer: -1194*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((0 + sqrt(1008))*4 - (sqrt(1008) - (-1 + sqrt(1008))*-1)))**2*-3.\nAnswer: -12144 - 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2893, 5120, 7021, 8590, 9821?\nAnswer: 10708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 94 = -5*k, 4*f - 88 = -0*f - 2*k. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -36*g**3 + g**2 - 3*g + 4. Let q be a(3). Let m = -7717\/8 - q. Find the common denominator of m and -51\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 26*r = 31*r - 151, 0 = -4*g + 3*r - 672. Let q = g - -166. Let s = -0.2 + 0.1. Which is the closest to 2?  (a) q  (b) s  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 830*d = 828*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3701 + 0.3601. Which is the closest to 1?  (a) 3  (b) j  (c) 0.02  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 + -11. Suppose -d + 3 = 0, -3*q = -l*d - 1 - 2. Suppose m + 3*j = 87, -3*m + 375 = 2*m - q*j. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -14, -30, -50, -74, -102, -134?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -2*k - 0*k + 4*z, 0 = -k - z - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2395*p + 2417*p = 3289198. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -131 or -731.93?\nAnswer: -731.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -232550000 to the nearest 1000000.\nAnswer: -233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 5:53 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 28827911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 607\/10 + -238\/5. Let r = 27\/2 - o. Suppose -g + 2*d = 5, 0 = g - 5*d + 5. What is the third biggest value in g, r, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.123 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 0 + 2)*(-2*d - 1 + 1) + 3*d - 3*d - d - 5*d + 4*d - 4*d)*(2*d**3 - d**3 - 8*d**3) in the form f*d**2 + x*d**4 + l + u*d + c*d**3 and give x.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -4 + (61 + -32 - 38).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 56977 or 338?\nAnswer: 56977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 2 = -p. Find the common denominator of -1*((-182)\/4 - p) and (-231)\/(-2)*1\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 11) in base 9?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 20582557, 20582559, 20582561, 20582563, 20582565, 20582567?\n\"Answer: 2*h + 20582555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 2*j - 13, 5*z - 6 = 4*j + 15. Calculate the remainder when ((-6)\/(-8)*z)\/((-3)\/(-88)) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2294411701.\nAnswer: 41, 139, 367, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from zzjhwhjhhjw.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 6*q. Let g(h) = 1. Let k(f) = f - 3. Let v be 1\/(-5) - 98\/35. Let o(r) = v*g(r) - k(r). Determine b(o(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + f - 120 = -4*f, 4*f + 1204 = 1196 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13660 and 736.\nAnswer: 2513440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-3\/5)*b*b)\/b*b**7*b*b*b**(-6)\/((b*b*(((b**1\/b)\/b)\/b)\/b)\/b)*((b*b**1*b)\/b)\/b**4*(b\/b**(-5\/2))\/b**(3\/5) assuming b is positive.\nAnswer: b**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1111100001110101111 (base 2) in base 9?\nAnswer: -855005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-15456231.\nAnswer: -46368693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - 4*f + 3. Let s be l(-4). Suppose -4 = -4*g + 4*y, -s*g + 0*y = 5*y - 3. Suppose g + 9 = 5*j. Solve i - o + j = -2, -2*i = -5*o + 23 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((5\/15)\/((1\/3)\/(260\/26)))\/4.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -0 + 3. Let v(b) = b**2 + b - 1. Let p(l) = 8*l**2 + 6*l - 6. Let x be (-120)\/(-16)*(-8)\/10. Determine a*p(q) + x*v(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of -b**6\/1260 + b**5\/210 - 5*b**3\/6 - 5*b. Let o(y) be the second derivative of n(y). Factor o(v).\nAnswer: -2*v*(v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30258 divided by -21\nAnswer: 10086\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 55448544 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.4163 to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.87 + 0.23. Let d = w - 4. Let z = 0.3 - -0.2. Which is the closest to d?  (a) z  (b) -5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 - 3*d**2 - 2*d - 8. Let n be p(4). Suppose t = -n*t + 2. What is the tens digit of 57 + 0 - (-5 - (-12)\/t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.2036  (b) 0.1  (c) -4  (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 209\/4 - 1695\/32. Find the common denominator of 35\/2 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -44*i**4 - i**3 - 5264*i**2 - 227989*i wrt i?\nAnswer: -528*i**2 - 6*i - 10528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 7 - 15 = 0. Suppose 4*b + f - 22 = 1, -f = -3*b + 12. Suppose 2*h = s - 3*h - 74, 5*s - 310 = -b*h. What is the remainder when s is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7638885847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -q**4 + 49537*q**3 - 792301*q**2 - 1733217*q - 891378 = 0.\nAnswer: -1, 18, 49521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - t + 58, -4*f = -t - t - 84. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1437517.\nAnswer: 1437517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 3*i + 18, 44 = 2*t + 5*i - 14. Suppose -3*f + f - t = 0. Let q = 22 - f. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3665 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u. Let c(k) = -830 + 23*k**2 + 830. What is c(g(n))?\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*b + 4 + 861*b**5 + 870*b**5 - 415*b**5 - 2 + b wrt b?\nAnswer: 26320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of t**7\/294 + 29*t**6\/105 + 57*t**5\/7 + 3971*t**4\/42 + 6859*t**3\/42 + 50*t. Factor y(j).\nAnswer: j*(j + 1)*(j + 19)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 220101111110021022 - 12?\nAnswer: 220101111110021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + (1*1*sqrt(52) - (sqrt(52) - -4*(-2 + sqrt(52)))) + (3*sqrt(156) - sqrt(156))\/sqrt(3) + -1.\nAnswer: -4*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9b76b + -3?\nAnswer: 9b768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 13) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 15 + 5?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/7 - 894*o\/7 - 1780\/7.\nAnswer: -2*(o + 2)*(o + 445)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -208398\/11 or -18946?\nAnswer: -18946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 392*i - 394*i - 5*g, -i = 2*g - 11 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 658, 679, 700?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*c - 2. Let x be (2 - 2) + 2 + -2 + -9. Is x*c\/(-6) + 716 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, -5\/6, -1327, -2\/5, 0 in decreasing order.\nAnswer: 0.07, 0, -2\/5, -5\/6, -1327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/9 + 7\/3. Let x = h - -1. Let z be x\/(-12) - 494\/(-6). Round z to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-6)\/4*8305\/(-495) and -37\/737.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 973554\/913 - -25\/2739. Let a = s - 1057. What is the common denominator of 0 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(1\/1) + 1. Let x(r) = 0 + 2*r**s + 0. Let j(b) = 19*b. Let z(m) = -110*m. Let y(p) = 6*j(p) + z(p). Determine x(y(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-57)\/(19380\/(-200)))\/(15\/((-5100)\/(-16)))?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t - 140 + 78 = 253 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1072740339 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50379 is divided by 442?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1736.4*-0.3.\nAnswer: -520.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 24*i**2 - 10218*i - 172372. Give y(442).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 3*i = -3087, 2*k - 8*i = -4*i - 1538. Is k\/(-12) - (-2)\/(-8) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26459788 is divided by 75.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19 + 15. Let z be (-1 - 1)\/(0 + 2). Which is the closest to 2?  (a) z  (b) j  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 420 + -339. Let j = 0 + 5. Suppose -j*g = -0*v + 2*v - t, -v - 53 = -3*g. What is the remainder when 66 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (240\/(-260))\/(-2*(-2)\/(-2))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 20064.14.\nAnswer: 10032.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/2)\/2*-7. Let l(f) = 2. Let j(z) = -z + 7. What is y*l(c) + 2*j(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3003*y = 2390*y + 31876 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f, 1 n, and 1 q when four letters picked without replacement from fffvfqnq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 3  (c) -1\/8  (d) 1  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 - 92519874*y**2 + 92519920*y**2 + 22.\nAnswer: 46*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -d - 4*d, 2*l - 2*d = 64. Let i = -48 + l. List the prime factors of i\/9 - (-954)\/27.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-34)\/17*3\/(-24)*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/668 and -33\/548.\nAnswer: 91516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -382 times 2?\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 3*v**5\/5 - 6*v**4\/5 - 63*v**3\/5 + 186*v**2\/5 - 24*v = 0.\nAnswer: -5, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -84*c + 3. Let j be n(2). Let f = 193289\/51930 + 1\/8655. What is the common denominator of f and 255\/6*9\/j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2*(-1)\/(-1)*1. Suppose 0 = k*c - 7 + 3. Let o(x) = -22*x + 2. Let z be o(c). Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, i: 3, n: 3}. Give prob of sequence iil.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 807940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29985?\nAnswer: 3, 5, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 242.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 732*u**2 - 1204*u**2 + 664*u**2.\nAnswer: 192*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 64 = 62*t - 10, 0 = 4*c - 3*c + 5*t + 4 - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -71063 + 71062.99956851. What is o rounded to 5 decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 66*f*s**2*v**2 - 43*f*s**2*v + 4*f*s*v**2 - 2*f + 209*s*v**2 wrt s?\nAnswer: 132*f*v**2 - 86*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -12011220100 (base 3) in base 4?\nAnswer: -120321210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 528.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -101449, -202901, -304353, -405805, -507257?\nAnswer: -608709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 2620 and 0.36374.\nAnswer: 2620.36374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 + 7*r**2 - 21*r - 24. Let m be p(-8). Let z = m - 44. What is the highest common divisor of 396 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/5 - 4708*c\/5.\nAnswer: -2*c*(c + 2354)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tpvetpvrrrpvk. Give prob of sequence erp.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 13707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 12*r**2 - 19*r - 12. Suppose -5*v - f - 2 - 18 = 0, 5*f - 20 = -v. What is the lowest common multiple of l(3) and (-8 + v)\/((-1)\/2)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6651 = -18*n - 7029 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - -4)\/((-5)\/(-10)). Suppose -v = -6*a + a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = 125 - 62. Let l(z) be the first derivative of -3 - 7\/3*z**3 - z**2 - p*z - 1\/4*z**4. Calculate l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14 - 11. Put -5, v, 4 in ascending order.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47344 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226*k - 15 = 231*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-2 - (1 - 7)) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 3 = -3*y - 1, 3*k + 5*y = -14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 PM and 4:23 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2812 + -2812.4. What is the closest to 1\/3 in 3\/5, y, -11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34 * 0.029205\nAnswer: -0.99297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/8 and 79\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127012*y**3 - 63508*y**3 - 63352*y**3.\nAnswer: 152*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-2 + -1 + sqrt(396) - sqrt(396)) + 5*-1*sqrt(396)).\nAnswer: 18 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -221*u**3 - 5 - 11 - 244*u**3 + 493*u**3 + u**2.\nAnswer: 28*u**3 + u**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9*c**2 + 215914*c - 4056638.\nAnswer: 18*c + 215914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265*y - 70 = -255*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 35, 28, 19, 8, -5?\n\"Answer: -g**2 - 4*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, a: 5, i: 11}. Give prob of sequence ra.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4852038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*u**4 - 3*u**4 - 4*u**4 + (10 - 47 - 56)*(2*u**2 - 2*u**2 - 3*u**4).\nAnswer: 277*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6104 + 11*h**3 + 6104.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (15 - (35 - 17) - 4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1688419643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 i when four letters picked without replacement from siiiiissiiisiissiii.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 8:23 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -319387  (b) -3\/7  (c) 7  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 516 divide 196167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/11 + 17565\/1925 + (1 - 10). Let b be (2\/6)\/((-52)\/39). Sort 0.3, 0.1, b, p.\nAnswer: b, p, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1734 - 1752.752. What is h rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of 5*p**4\/12 - 5*p**3\/2 + 5*p**2 + 4*p + 6. Factor z(n).\nAnswer: 5*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*m**3 - 17077 + 17077 - 3*m**3.\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -629442*t**4 + 10244911 with respect to t.\nAnswer: -2517768*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188985 is divided by 14537.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 387.4 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 230 (base 5) in base 16?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7\/92  (b) -1\/11  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20010 - -11?\nAnswer: -14444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 37, 5, 2, -41, 0, -2 in descending order.\nAnswer: 37, 5, 2, 0, -2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**5\/(j**(-1\/3)*j*j*j))\/(j**(-9)*j**9))**(-6\/11) assuming j is positive.\nAnswer: j**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 - 7. Suppose -6*u = -2*u + y. Let g(q) = q**3 + 2*q**2 - q - 2. Let t be g(u). Which is smaller: 0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8397756 by -4.\nAnswer: 2099439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/20*2*18\/(756\/574)?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -1.411 and 1.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 956 + -953. What is the smallest value in -21\/10, f, -2\/9?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 4*v**2 + 22*v + 8. Let z be ((-2)\/(-2) - 4)\/(9\/30). Let c be p(z). What is the greatest common factor of 47 and c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fa0 (base 16) in base 15?\nAnswer: 12ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (86\/(-43))\/(-1*-1*10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*f = 29*f + 504 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7.74251ns?\nAnswer: 0.00774251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.196543 rounded to three decimal places?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 6*u**2 + 170*u - 514. Determine g(-31).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37945?\nAnswer: 5, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7508706.3 nanoseconds to hours.\nAnswer: 0.00000208575175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 506 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 4*c**2 + 9*c + 16. What are the prime factors of u(12)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25049*a**2 + 127270*a**2 - 152314*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 42\/23 and 516\/(-1472) - 15\/240?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 523 + -519. Is 15 a factor of 42\/56 - (-2997)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -3*p**3 + 6*p**2 - 11. Let y(f) = -f**3 + 3*f**2 - 5. Suppose 30*h - 46*h - 24 = -20*h. What is h*v(n) - 13*y(n)?\nAnswer: -5*n**3 - 3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 66, 41, -56, -243, -538, -959?\n\"Answer: -3*o**3 - 18*o**2 + 50*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-95)\/(-19) + 1 + 97 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 4*w - 13*w + 3 + 11*w**2 + 14*w + w**3 - 13. List the prime factors of k(-7).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 835  (b) -5  (c) -1493\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, k: 4, d: 10, v: 1, r: 3}. What is prob of sequence zrkr?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 48072 divided by -8?\nAnswer: -6009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m + 29*m - m - 12*m - 13*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 - 5*h**2 - h + 2. Suppose -3*l - a = -4 - 11, -4*l = -4*a - 20. Let t be i(l). Let u(r) = r**3 + 4*r**2 + 2*r. Calculate u(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -18*j + 85. Is 5 a factor of u(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/((-49)\/(-6)))\/((-538)\/11298).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 13467\/680 and 21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of -t**5\/60 - t**4\/8 - t**2. Let i be c(-3). Which is greater: i or -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -6. Let q(n) = 2*n + 55. Let r be q(11). Let a = r - 67. Solve f*p + a = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9257\/687 + 3162\/229. Determine z, given that -7*z + 2*z**3 + z**4 - 10\/3*z**2 - 3 - s*z**5 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 338265197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*m - 710 = -7*m + 1435. Solve 2*f + 3*n + 16 = 0, -4*f - 3*n = -m + 65 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**3 - 2*x**2 + 2*x**2)*(-27 + 27 - x**2) - x**5 - x**5 + x**5.\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*w**2 + 4*w**4 + 269*w**3 + 1 - 15*w**2 - 267*w**3 - 2*w in the form j*w + y + c*w**2 + l*w**3 + g*w**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6357*k**3 - 8502.\nAnswer: -19071*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -5\/2, 215, -2\/5, -1\/5 in increasing order.\nAnswer: -5\/2, -2\/5, -1\/5, 0.1, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*f + 319*f**2 - 21 - 971*f**2 + 328*f**2 + 317*f**2 + 5456*f**5 wrt f.\nAnswer: 327360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133896114827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 8 + 13. Solve -16 = -4*j, 2*j + 0*j = v*d - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25563438, 25563444, 25563450, 25563456?\nAnswer: 25563462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111100111100001101001 (base 2) in base 8?\nAnswer: 17474151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - 4*g**2 - 9*g + 14. Let o(w) = w**3 + 5*w**2 + 9*w - 13. Let k(h) = 6*o(h) + 5*q(h). Is k(-8) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-3)*0 + -1. Let o be (-5 + i)*2\/(-18). Solve 2\/3*h**2 + 0 - o*h = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 >= 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (l - 5*l + 5*l)*(20865 - 1214*l**3 + l - 20867 - 2*l**2 + 6*l) as z*l + d*l**2 + x + c*l**3 + v*l**4 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -5*a + 2. Let g(z) = 9*z - 4. Give -3*g(r) - 5*s(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1154 (base 8) to base 9\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 328073 and 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, -0.4, 55215, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 7*z - 1. Suppose -17 = 3*j - c, 3458*c = 3457*c + 2. Let w(s) = -7*s + 1. Calculate j*u(d) - 6*w(d).\nAnswer: 7*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17894258 is divided by 897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 366271348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/(220\/121)*4. Solve 5*q - o = 3*y, 6*y = 8*y - 4*q + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 127 + 2671. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 5*x - 305 = 0, -5*r - 4*x + 232 + 68 = 0. Calculate the remainder when r is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -5, -43, 4 in descending order.\nAnswer: 4, -2, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 181723.\nAnswer: -181723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 + -37342?\nAnswer: -37351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.55 - -22.55. Let k = -9 + s. Let r = -12.9999935 + k. What is r rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6453.94749 - 6454. Which is the smallest value?  (a) -1\/4  (b) z  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 8*f = 90. Let u = -106 - -106. Suppose 0 = -q + 2*q - l - f, -4*q + 2*l + 82 = u. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-3*sqrt(140)\/sqrt(4) + (sqrt(175) + sqrt(175) + -2*sqrt(175))\/sqrt(5))\/((sqrt(180) + sqrt(180)*2 + sqrt(180))*-5))**2 + 2.\nAnswer: 647\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 408989 to the power of 1\/2, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-118)\/45 + 15\/(-150) and -59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 7) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6174959 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 5*v - 15 = 0, -v = 2*d - 5*v - 2. Let q(c) be the second derivative of -7*c**4\/12 + 5*c**3\/6 + c. Let a(o) = 6*o**2 - 4*o. Give d*a(i) + 4*q(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 5:31 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4699 times -3\nAnswer: -14097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q + 0*q - 3*q)*(0*q - 3*q + 2*q)*(-3*q + 0*q + 2*q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 574193132?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f + 8. What is the tens digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2306858561 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 385 = -6*m + 1057. What is the highest common factor of m and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/2)\/((-7)\/21*3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 238981911 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 260213, 260181, 260121, 260027, 259893, 259713?\n\"Answer: -x**3 - 8*x**2 - x + 260223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -12, -4*y + g - 4 = -21. Suppose 251 = y*q - 29. Let l = q + -25. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -2*x - 2*o, o - 2 = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, z: 2, b: 2, p: 1, m: 1, k: 1}. What is prob of sequence rz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/5, -0.4, 1, -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -1.1?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 c when three letters picked without replacement from {f: 4, c: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-26)\/4)\/((-3)\/(-228)*38).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 3)\/(5150\/(-1545)*(-3 - -1)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j**2 + 61514*j + 676465. Calculate y(-11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*m = 2*o - 97, 0 = 4*o + 2*m - 478. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 971278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 2 = -z. Suppose -3*s = -z*x - 199, -5*s + 4*x = -138 - 172. Calculate the remainder when 114 is divided by s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, l: 1, s: 3, x: 3, g: 1}. What is prob of sequence lsxx?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 12:53 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 265 and 15378215.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + -3. Suppose 3*w = -2*t - 8, 38*t - 5 = 39*t + w. Let s be 35\/(-77)*t + -3. Sort j, s, 1\/3 in descending order.\nAnswer: 1\/3, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 601.4995 grams?\nAnswer: 0.0006014995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -5*d - 2, -3*c + 17 = d + 2*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 5*x**2 + 73*x + 71. Let h(c) = 116*c + 104*c - 8 - c**2 + 222 + 15*c**2. Let y(j) = -3*h(j) + 8*u(j). Factor y(o).\nAnswer: -2*(o + 1)*(o + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 3 + 0\/((-8)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 4*x + 4. Suppose 0 = 21*r - 13*r - 24. Let w(c) = 4*c - 5. Let q(s) = r*h(s) + 2*w(s). Give q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (225\/(-24))\/(-15) + 4\/(-32). Let g = -14\/9 - -53\/36. Which is the third smallest value?  (a) p  (b) 5  (c) 2\/3  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-5)\/(-3) - 2)*(-39 + 33). Suppose l*c - t - 86 = 3, -3*c - 3*t + 111 = 0. Calculate the highest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1183 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (16\/20)\/(2\/90). Suppose 0 = -z*c + 25*c + 275. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + r**2 - 4*r + 2. Let d be u(1). Put 1, -5, d, 2 in descending order.\nAnswer: 2, 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1380 divided by -4.\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 245697 (base 12) to base 5\nAnswer: 122341402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42448 + 1904 = -288*j. Is -1685\/11 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 11 = -2*v. Suppose v = 4*f - 21. Suppose i - f - 12 = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.7707241 - -18.4707031. Let x = -17.7 + c. Round x to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9226 + -3413. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + (-2)\/(-9) + 969\/(-189). What is the smallest value in -1, 5, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*q**2 - 8 - 72*q**2 + 27.\nAnswer: -128*q**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 - -16. Let m(s) be the third derivative of -s**4\/12 - 5*s**3\/6 + 2*s**2. What are the prime factors of m(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/12 + -29\/60. Let a be (114\/(-95))\/((-6)\/10). Let c be -2*36\/480*5\/a. What is the smallest value in x, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(3\/7)*x**(1\/2)*x\/x**14*x\/(x*x**(-3)))**(6\/11) assuming x is positive.\nAnswer: x**(-375\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 137*d - 1. Let v be g(-1). Let j(c) = -2*c**2 - 4*c - 13. Let b be j(-7). Let p = b - v. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16539, -16487, -16413, -16317, -16199, -16059, -15897?\nAnswer: -15713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, k: 6, w: 3, e: 1, o: 3}. What is prob of picking 1 k, 1 w, and 1 e?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-24)\/10)\/((-88)\/60). Is 3 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/54*457182\/46180?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35347489.\nAnswer: 35347489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2153727716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -32, -31, -14, 25, 92?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 25*j*n*p - 1348*j*n*v + 9*j*n - j*p + 2*p*v + 7*p - 2 with respect to v.\nAnswer: -1348*j*n + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -255.43 and -783?\nAnswer: 200001.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of 5*c**3 + c**2\/2 - 3*c - 4. Suppose 2*k = -0 - 8. Is y(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j**2 + 0*j**2 - 26 - 3*j**2 + 9*j**2.\nAnswer: 3*j**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 144*o - 23810 + 23810 to z*o + c and give z.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 10, o: 4}. What is prob of sequence vv?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 13, q: 5}. Give prob of picking 4 q.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 AM and 6:50 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 - 5*l + 2. Let v be z(-5). Suppose -114 = 3*y + v*u, 4*y + 0*y + 4*u = -156. What are the prime factors of (-20)\/6*y\/8?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 3*f + f = -14, 5*g = -f - 17. Is 15 a factor of 57 + 12\/(-16)*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 11*a**2 - 10*a - 122. Calculate j(-10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1440)*-3 + 4*sqrt(20)\/sqrt(2))\/((sqrt(40)\/sqrt(128) + (sqrt(5) - sqrt(220)\/sqrt(11) - sqrt(5) - sqrt(5)))*2).\nAnswer: 64*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 6*c + 4. Let l be g(-4). Let p = -2 - l. List the prime factors of 88\/10 + p\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 113*c*w**3 + 2*c*w**2 + 328*c*w + 3*w**2 - 8*w wrt w?\nAnswer: 678*c*w + 4*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.46 minus 0.055835374?\nAnswer: -0.515835374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 PM and 3:35 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5709 - 5711. Which is the nearest to x?  (a) -4  (b) -36  (c) -0.07  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*i*s**4 - i*s**2 + 311*i - 19*s**3 wrt s.\nAnswer: -216*i*s - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2166 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of -j**3\/3 - 3*j**2\/2 + 15*j - 144. Let y(o) = -o**2 - 5*o + 16. Let n(p) = 3*l(p) - 2*y(p). Calculate n(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (47 - 56 - (4 + -3 + -10)) + 37 - -7?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*f = -47*f + 5*m - 12343, 4*m = -f + 12338. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11939958 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 5111155.51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -8*q**3 - 3*q**2 - 2*q + 1. Let a be d(-3). Suppose 2*f - a = -y, 3*y + 3*f + 2*f - 588 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67737979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-1 + sqrt(252))**2 + 2 - (sqrt(112) + 0 + 3 + 1)) + -4.\nAnswer: -16*sqrt(7) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -289*n = 284*n - 567*n + 72 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 3*j - 3 = 0, -3*c - c + 5*j + 14 = 0. Suppose -4*u + 3*g + 6 = -0*u, 3*u - 4*g - c = 0. Let k(h) = -h - 3. Determine k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + 6 + (-6)\/2. Let j be x\/2 + 12\/8. Let p be -1 - 24\/(-3) - j. Is p > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of f**4\/18 - 14*f**3\/27 + 3858. Factor i(h).\nAnswer: 2*h**2*(h - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of n**6\/120 + n**5\/60 - n**4\/24 + 4*n**3 + n**2. Let b be t(0). Is 16 a factor of ((-178)\/(-3))\/(16\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -2, 0.2063?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3*w - 32 = 0, 5*i + 2*w - 17 = -0*w. Suppose i*p - 157 = 8. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -29 by 36.\nAnswer: -29\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 58 - 3 = 0. Put -2, q, -4 in descending order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/15*(33 + 2 - (177 + -187)) + 44?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23833 + 41323. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3719, 3969, 4219, 4469, 4719, 4969?\nAnswer: 5219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 + 3 - -5) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from yysssyssysys.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 12 + ((10 - 0) + -7 - -6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - z**2 - 2*z - 1. Does 17 divide v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -204544, -204335, -204126, -203917, -203708, -203499?\n\"Answer: 209*l - 204753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*p + 567 = 631 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82 = -6*c - 58 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/15 in -603, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 246051 and 172773367?\nAnswer: 9113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 2619 = 3*l, 0*f - 4*l - 2092 = 4*f. Let p = -316 - f. Let w = 4168 - 4149. Calculate the highest common divisor of p and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -22.134\nAnswer: 44.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 324*z - 721*z + 89*z.\nAnswer: -308*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1002186\/22437*(-9)\/6?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence so when two letters picked without replacement from osqsee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -135*v - 3088. Calculate the remainder when 12985 is divided by u(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 - 6*n**2 - 3*n + 5. Let a be y(-5). Let r be 0 - a\/(10\/8). Sort 0, r, 5, -8 in ascending order.\nAnswer: -8, 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 - 14*i**2 + 19*i - 37. Let r be w(12). Calculate the common denominator of (-2*74\/(-8))\/(-7) and -2*r\/12*11\/22.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 24*i - 26*i - 1)*(1 - 1 + 2*i).\nAnswer: -4*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8008 (base 11) to base 7.\nAnswer: 43032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3129 - b3?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + q - 5*q = -5, 2*a + 5*q = 10. Suppose 0*r + 2*r + 8 = 0, 2*f - r - 180 = 0. Suppose -a*h + f = -3*h. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*c**3 - 91*c**3 - 126*c**3.\nAnswer: -178*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 357\/27 - (-2)\/(-9). What is the greatest common divisor of v and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 157911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -40374.98194 rounded to the nearest ten?\nAnswer: -40370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-15)\/(-9) + -5 + 3. Let p be 17 + -1 + 1 + -1. Let l be (-504)\/360*2*(-3)\/21. Which is the closest to g?  (a) l  (b) -1\/3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-2))\/(4\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 66 = -6*p. Let c = -19 - p. Suppose 0*s - 10 = -n + 4*s, 0 = -3*n - 2*s + 2. Solve c*y = y - 2*v + 6, -3*v = -n*y - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {w: 1, k: 3, l: 5, y: 1, a: 5, i: 3}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 w when four letters picked without replacement from {i: 5, w: 9}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o + 6. Suppose 8*a = -97 + 9. Let g be (-2)\/2 + -23*1. Let d = a - g. Let j(h) = 4*h + 13. What is d*m(c) - 6*j(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -7 + (-1495)\/(-175) + -5*6\/(-50). Which is smaller: s or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b - 3. Let v be z(8). Let w = 241 - v. What is the common denominator of 103\/10 and 1\/(-2)*w\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 163848580 and 6956.\nAnswer: 163848580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -197ced + -62?\nAnswer: -197d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((18\/(-4))\/(-3))\/((-12)\/32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/(-35))\/((-46)\/(-207))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 24 = -8. Let i be (-16*8\/(-32) + 2\/2)\/1. Solve i*x = x - y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 + -90 - (0 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -521866 + 16191866. Round k to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 868100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -260 - 0?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 2*f + 14, -227081*s - 10 = 2*f - 227084*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 190, 378, 566?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 3575708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3899 or 7795\/2?\nAnswer: 7795\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 2*d**2 + 1538258*d\/9 - 341836\/9 = 0.\nAnswer: -85459, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11143393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) - (sqrt(1617)*1 - sqrt(1617)))\/(sqrt(3) - (-3*sqrt(27) - sqrt(3)) - sqrt(3)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of l**3\/3 + 7*l**2\/2 + 22*l - 25. Let d(w) be the first derivative of x(w). Find the first derivative of d(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 75*p**2 - 4 + 196*p**2.\nAnswer: 121*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -72 - -147\/2. Let q = 3379622\/139 - 24314. Let h = q - -5958\/695. What is the common denominator of b and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 51\/(-68) - (-65)\/(-4). Calculate the smallest common multiple of ((-24)\/(-15))\/(p\/(-85)) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-4))\/(-1)*480\/540.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70 + -70. Solve 0*u + 3*u + 2*z + 10 = v, z = 2*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 2 b when four letters picked without replacement from {s: 4, b: 5, j: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - -2110121?\nAnswer: 2110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 5 + 5. Suppose 3*z - 4*z = -d. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -24, -27, -16, 15, 72, 161, 288?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 207 - 223. Let o = a + 231. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*n - 5 + 5)*(2*n - 3*n - n)*(1 + 0 + 0 - 3*n)*(4 + 4 - 5).\nAnswer: -144*n**3 + 48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**2 - 8612957*q + 2*q**2 + 17225473*q - 8612516*q - q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 10 = -2*s, -7*s + 3*s + 16 = 0. Differentiate 4*t**3 + 2*t**2 - 5*t**3 + 1 - q*t**2 with respect to t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 126684110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + sqrt(605))**2.\nAnswer: -44*sqrt(5) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of 1\/240*z**5 - 3*z**2 + 0*z + 0 + 0*z**3 + 1\/96*z**4. Determine a so that i(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243467000 to the power of 1\/2, to the nearest integer?\nAnswer: 15603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 3*p**2 - 2*p + 12. Let v be n(0). Suppose 13*f = 19*f - v. Suppose -j = -5, 0 = 3*u - f*j - 741 - 236. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/35?  (a) -5\/6  (b) 22484  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1983673145 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -343430 by -3.\nAnswer: 343430\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -15.1  (b) -538  (c) 1\/9  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/432 and 67\/162?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -47 - -54. Let l(i) = -i**2 + 8*i + 2. Let m be l(8). Suppose -m*u = -a*u + 440. Calculate the greatest common divisor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -93*-18.\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 50*p - 582. List the prime factors of j(43).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 658*o = 645*o + 68640. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10540144 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-10)*a**(-24)*a)\/((a*a**(9\/5)\/a)\/(a\/a**37*a)) assuming a is positive.\nAnswer: a**(-349\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 133244.37 to the nearest one hundred.\nAnswer: 133200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -22, 8 in increasing order.\nAnswer: -22, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2, 9337, -0.1, 1\/12, -1\/4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-19 - 0) + 6 + 5. Let h(r) = 2. Let f(n) = 4*n**2 - 64*n + 16. Let o(z) = v*h(z) + f(z). Solve o(k) = 0 for k.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24*c*o*t*x**2 + 5*c*o*t - c*t*x**2 + 2*c - 2*o*t*x**2 - 2*o*t + o*x**2 + 6*t*x + 7*x wrt x?\nAnswer: 48*c*o*t - 2*c*t - 4*o*t + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 16123476 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.3, 54, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 36*q. Let v(a) = 197*a. What is v(u(d))?\nAnswer: 7092*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96 + 125711*k**2 - 193 + 97.\nAnswer: 125711*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7490, -14945, -22402, -29861, -37322, -44785?\nAnswer: -52250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 4*j + 131. Suppose -f = 3*f - 4, 3*v - 5*f = 1. Is 2*v*j\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x + 4. Let k(j) = j + 3. Let v(c) = 6*k(c) - 5*u(c). Let b be v(3). Let p(o) = 2*o**2 - o + 1. Calculate the remainder when 2 is divided by p(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 107302 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + g**2 + 2*g - 33. Let l be a(0). Let n be (2 - 13\/7) + 464\/(-14). Let v = n - l. Solve v = w + 2*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-34)\/8 - -5)\/((-9)\/18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 18*t**5 + 45*t**4 + 54*t**3 + 9*t**2 - 6*t. Let r(i) = -i**5 - i**3. Let z be 1\/(-5) - (-31)\/5. Let g(d) = z*r(d) + y(d). Solve g(h) = 0 for h.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -5*h - 34. Let k(u) = -14*u - 94. Let x(f) = -4*k(f) + 11*n(f). Let r be (1 - (1 + -1))*-3. What is x(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 1)*(1 - 2 - 2)*(0 + 0 - 2*g + (-2 + 4 + 0)*(-2*g - 1 + 1) + 0 + g + 0).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -66 + 117. Suppose -235 = 5*r + 2*u, -4*r + 2*u - 170 = -0*u. Let m = h + r. Which is smaller: m or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 17 = 2*c - 15, 4*y + c = 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 7374*v**2 - 110*v - 1113. Is t(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6520301 tonnes in milligrams?\nAnswer: 652030100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + 6*b**2 - b - 8. Calculate s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.0415, 4.1, -1\/3, 3, -1\/11?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u**2. Let y = -5 + 7. Suppose w + y + 0 = 0. Give c(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36151 - 5?\nAnswer: 36143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 i, and 1 c when three letters picked without replacement from iyrrcrrkyiri.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*h - 3*h + 126*h = -118*h + 19631 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1859304.\nAnswer: 2, 3, 77471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -134615 (base 7) in base 10?\nAnswer: -25688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/5 in 0.2, -18, -453\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-937*o - 42*o + 237*o + (-5*o + o + 5*o)*(2 - 2 - 2))*(-7*o + 8*o + 9*o).\nAnswer: -7440*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*b - 27986 = 14782. What is the smallest common multiple of 4158 and b?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 820189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(270) + sqrt(270)*-5 + sqrt(270)))\/sqrt(9)*-3)\/((-1*3*sqrt(24))\/sqrt(4)*6).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12826, -41958, -87398, -149146?\nAnswer: -227202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 15 = -36. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-1 + 1)) + 891 + -903 - -11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 - -40 - (-7 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -184*l + 24. Let z be q(2). Let j = -332 - z. Solve 4*u = -4, 2*u = 2*c - 0*u - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1762 divide 5132785470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 8. Let s = 6 + -4. Which is the nearest to f?  (a) -0.5  (b) -0.3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/30*3\/(567\/(-15))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 3*y - 0 - 2, -6 = 2*v + y. Suppose -12 = -2*j + 4. Is 16 a factor of -1*(-33 - (v + j))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 8 = -b, 5*l - 6*l - 12 = 2*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 - c - 1. Let s(r) = 10*r**2 + 3*r + 4. What is -s(q) - 5*y(q)?\nAnswer: -5*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 54018184 and 8932?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 7*p**2 - 12*p - 21. Is s(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -167.5 - -167. Let u = 2790\/209 - 148\/11. Which is the biggest value?  (a) 2\/5  (b) f  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/2*-1 - -79. What is the greatest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(9\/2))\/(((a**(-10)\/a)\/a)\/a*a*a))**14 assuming a is positive.\nAnswer: a**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -9040263, -9040215, -9040135, -9040023, -9039879, -9039703, -9039495?\n\"Answer: 16*i**2 - 9040279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 405169695 a multiple of 8505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 229956074 to the nearest integer?\nAnswer: 15164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 19117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -29*i**2. Let r(m) = 5800*m. What is x(r(w))?\nAnswer: -975560000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 5:38 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 16938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -3*w. Let u be (2 + (-380)\/192)\/((-1)\/(-2)). Let j(t) be the third derivative of -2*t**2 + u*t**4 + 0*t + 0*t**3 + 0. Calculate f(j(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 342 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -41228, -82448, -123668, -164888, -206108?\n\"Answer: -41220*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -15*g + 4. Let d(y) be the second derivative of 10*y**3 - 8*y**2 + 41*y. Let c(s) = 9*b(s) + 2*d(s). Let f(z) = 2*z. Determine f(c(v)).\nAnswer: -30*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -0.02. Let r = i + 1.48. Round r to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -181*o + 6553 - 2209 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2047?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - h + x - 6 = 0, -2*h + 30 = -5*x. Let p(c) = 2*c**3 - 6*c**2 - 2*c - 15. What is the units digit of p(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.2, -5, -0.2, -2, 10.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*x**4 - 2*x - 9*x**3 - 8444808*x**2 + 2 + 8444808*x**2 to c*x + o*x**3 + i + h*x**2 + m*x**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ocoocyocyycc. What is prob of sequence yyyc?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -y**2 - 1. Let p(w) = -10*w + 19*w + 4*w. Calculate p(o(u)).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 141*m - 1692. Calculate x(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from {j: 1, p: 2, a: 1, t: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9700158*d - 47068493.\nAnswer: 9700158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*o + 17*o + 7*o)*((2 + 0 - 1)*(-44*o + 65*o - 400*o) + (0*o + 4*o - 6*o)*(-3 + 0 + 2) - 2*o + o + 2*o) as t + v*o + z*o**2 and give z.\nAnswer: -6016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 11*j + 10694 = -13*j, -2*o = -2*j - 7126. Suppose 0 = 27*c - 11*c - o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-6))\/(315\/(-36)*166\/(-1743)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 913869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58767 and 505190?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 54.2 + -14. Let x = c - 40.20167. What is x rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.671073 nanograms to grams.\nAnswer: 0.000000003671073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30583072 by -15291536.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-12)\/(-8))\/((-3)\/(-8)). Suppose -2*t = k*b - 126, b - 224 = 3*t - 7*t. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 344 divide 5869816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (c + 3 - 3)*(-405*c + 337*c - 11 + 153*c + 215*c) as k + v*c + a*c**2 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8401.885l to millilitres.\nAnswer: 8401885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y**3 + 2*y**2 - 1. Let q be c(-3). Let o = -43 + q. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010000011 (base 2) in base 14?\nAnswer: 33d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 728.9 - 732. Which is greater: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20827, -83826, -188825, -335824?\nAnswer: -524823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30896855?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/294 - 14\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 190*g**2 - 934*g - 43. Calculate v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((2 - 5) + -2)*(-3159)\/(-27). Let q = o + 587. Solve 0 = -m - 3*t - 8, -q*m + 3*m + 5*t = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14927*k**4 - 44*k**3 + 18257107*k?\nAnswer: -179124*k**2 - 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 435700300 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 + 13*m - 9. Give o(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 + -138?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29030 + -28986. What is the smallest common multiple of c and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28169971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 + v + 6. Let f = 15 - 7. Does 26 divide q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v**2 - 1173 - 7*v - 23*v + 2356 - 1180.\nAnswer: -2*v**2 - 30*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 522 and 56521.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (n**2 - 4*n**2 - 4*n**2 - 1)*(-3*n - 2*n + 4*n) to f*n + s*n**3 + b + z*n**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, d: 12, t: 3}. What is prob of picking 1 d and 2 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t**2 + 19*t**2 + 0*t**2 + 43*t**2.\nAnswer: 58*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 2 - 142026*m**2 - m**3 + 142028*m**2 + 10*m as t*m**3 + q + j*m + b*m**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(-14))\/(4\/6). Let o = 1.9 - 7.5. Let q = 5.2 + o. What is the nearest to -1\/2 in -1\/2, q, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 1:47 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k + 4. Let h = 290 + -296. What is u(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 112 + -2 + -2261 + 2107\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -3*k**4\/7 - 144*k**3\/7 - 1851*k**2\/7 - 450*k = 0.\nAnswer: -25, -21, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2857.2 and 0.17?\nAnswer: -485.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 820 and 2245775.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-2331)\/105 - -17 - 1\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w**3 - 4*w**2 + 4*w - 2. Let g be y(1). Let q be 10 + (g*3)\/((-15)\/10). Let v(t) = t - 10. Calculate v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1710\/(-4275)*-35*1*3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 222, 885, 1990, 3537?\nAnswer: 5526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -122514460 rounded to the nearest 100000?\nAnswer: -122500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((8 - -5) + -14) - (-2 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -m - 2, 0*o + o - 3*m - 6 = 0. Suppose o*q = -3*q. Solve 3*r + 6 = p - q*r, -14 = -5*p - r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 6*o = -11*o + 226, 0 = g + 2*o - 241. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*z + 1 = 4*z - 23. Let k(r) = 3*r + 4 + 10*r**2 - 4*r - 11*r**2. Determine k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63781 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 5. Let z = 4 + t. Differentiate 9 - 2 - 2*j**z + 0*j**2 - 3 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-180)\/48 + (-1 - -5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.8630829kg?\nAnswer: 863082900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 - g**2 - 3*g - 3. Let m be j(-2). Let x(z) = -3*z**2 + 4*z - 4. Let r(s) = 5*s**2 - 7*s + 7. Let w be 4*(2 - (-2 - -3)). Give m*x(o) + w*r(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10 or 21960.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-9)*9*1. Suppose w*u - 3*k = 48, 3*u = 4*k - 7*k + 72. Let m be 3\/u - (-2)\/(-5). Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -10*b + 1176. Let t = b + 333. List the prime factors of t.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*l**2 - 4*l - 19*l**4 + 3*l**2 + 0*l**4 + 6*l + 3*l**2 to a*l + v + m*l**4 + s*l**3 + t*l**2 and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 10419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3*c = -3136. Let s = 3465 + c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123302161.\nAnswer: 123302161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = -2*h + 14. Let p = -138 + 195. Suppose 89 = 5*o - s, -28 = -5*o + 5*s + p. What is the lowest common multiple of o and h?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1204601, 1204389, 1204035, 1203539, 1202901, 1202121, 1201199?\nAnswer: 1200135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8648 - 2*s**2 + 0*s**2 - 8648 - s.\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6596 + 9*c + 6*c + 10*c + 6594 + 9*c**2 - 25*c.\nAnswer: 9*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/1343 + -1347\/2686. Let n = 1 - 0.9. Sort n, -1, o in decreasing order.\nAnswer: n, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - l - 104 = -100, 0 = -6*c - 5*l + 46. Let m = 4 - 3. Calculate the remainder when c is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -456.6 + 457.6. Let n = -0.5 + 2.5. Which is the third biggest value?  (a) -5  (b) n  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 35 + -34.04. What is q rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/10 in 2, 4, -0.2, -3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -3*o - 2. Let g = -144 - -158. Suppose -i - 4 = -3*m - g, 5*i + 10 = 3*m. Calculate q(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38189613811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.1, 104\/7, 179989\/2 in decreasing order.\nAnswer: 179989\/2, 104\/7, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 5, f: 7, m: 8}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/9 of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 134*o**3 - 13515 - 13432 - 2*o**3 + 26944 + 20*o**3.\nAnswer: 152*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 354*g**3 + 31*g**2 - 10*g - 356*g**3 - 15*g wrt g.\nAnswer: -12*g + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.25372ng in tonnes?\nAnswer: 0.00000000000005925372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 119 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69, -46, 1, 78, 191, 346, 549, 806?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*c = -58*c, -5*k - 2*c = -30. Let w be -39 + 156645 - (-1 - -2)*k. What is w rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 845934 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 3:50 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z**3 + 0*z**3 - 7 - 9 + 12 + 7*z**2.\nAnswer: -3*z**3 + 7*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (4213*v - 105*v**2 - 4213*v)*(-5 + 5 + 1)*(3*v**2 - 2*v**2 + 0*v**2) as r*v + n*v**2 + y*v**4 + c + h*v**3 and give y.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.27 in -2\/5, 1\/4, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 634577204 to the power of 1\/2, to the nearest integer?\nAnswer: 25191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -18\/113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -64739777*k**4 + 100514362.\nAnswer: -258959108*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 39*b - 11*b. Let s(c) = c**2 - 8*c + 3. Calculate the remainder when 455 is divided by s(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -2*k + 5*i, -3*k - 20 = -i - 5. Let y = 213 - 208. Suppose -6 = p - y. Put p, k, 2, -12 in descending order.\nAnswer: 2, p, k, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*k**5 + 14*k**4*t + 137*k**2*t - k*t wrt k.\nAnswer: -120*k**2 + 336*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/8 + (-39)\/(-12). Let k be y + -1 + -3 - 3. What is the third biggest value in k, -0.02, 1\/10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/4  (b) 7  (c) 1\/3  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*i - 24 = 8*i - 6*x, 5*i + x = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - u + 5*q = 0, 4*u - 3*q = 29. Let s = 8 - u. Is -1 + s + 2 - 0 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from wooooooaoooaonookoo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4.5892 and -20?\nAnswer: 91.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1001874 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00480004284 rounded to 5 dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ten sevenths of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(220) + sqrt(220) + sqrt(55))\/(sqrt(11) - sqrt(66)\/sqrt(54)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-198))\/(6\/(-3102)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 2\/9, 2, 231, 1\/7 in descending order.\nAnswer: 231, 2, 2\/9, 1\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.352612481 take away -40.4?\nAnswer: 40.047387519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 32259219 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3455 - -17487\/5. Let i = r + -42. What is the nearest to i in 1, -0.059, -1?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12.25 + 14.132. What is m rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-3*(1 + 3 + (-3*(sqrt(475) + -2 + sqrt(475)) + 4)**2)*3.\nAnswer: -16200*sqrt(19) + 464508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17240 + -17109. Calculate the smallest common multiple of y and (66\/9)\/((-4)\/(-6)).\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 19*y**3 + 3*y**2 - y - 1. Let f be j(1). Suppose -i + 3 = d, 3*d + 7 = i - 0*i. Solve i*p + 3 = -3*s - 15, 4*s + 4*p + f = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1128665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-12 - -5) + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 4*q + 0*q - 4*q - 8 + 6*q. Let d be g(6). Calculate the greatest common divisor of 144 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = v - 22, -4*q = -2*q - 2*v - 16. Suppose -q*a + 29 + 51 = 0. Solve -4*f = -0*f - a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4597744 equal to 4597763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 17*a + 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 17 = -7. Let f = -7587 - -7592. Put x, -1, 2, f in descending order.\nAnswer: f, 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 7:55 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 340131809*q**2 + 40816319*q?\nAnswer: 680263618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1749 divide 301030884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21404, 43108, 64826, 86564, 108328, 130124, 151958?\nAnswer: 173836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56\/532 + 5\/19*(-6516)\/45?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 22, -6, 1, -2, 3 in increasing order.\nAnswer: -6, -2, 1, 3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -14*3090\/(-2415) + -18 + (-1263)\/23. Suppose 0 = -5*o + 2*o - 198. Is 42 a factor of (-18745)\/n + 2\/o*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67 - 46 + 113 + 185510*y.\nAnswer: 185510*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 12 = -0*g. Suppose g*m - 530 = 2*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 8*p - 2. Let y = -11 + 1. Does 14 divide v(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10853 divided by -2.\nAnswer: 10853\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**2 + w**2 + 4*w**2)*(-4 + 0 + 7 - w).\nAnswer: -2*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -482539, -965026, -1447513, -1930000?\nAnswer: -2412487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 764463759 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 61 + 2*q**3 - 3*q**2 + 5*q - 54 + 4*q**2. Let x(n) = 2*n**3 + n**2 + 4*n + 6. Give -4*o(l) + 5*x(l).\nAnswer: 2*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 34 = 4*a - 1, -13 = -a - 4*j. Let g(t) = -12*t + t + 15 + a*t. Let o be g(5). Solve 4*x - 9*x = -o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -42*((-2)\/(-6) - 1)*(-117)\/(-6) and 624?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 555122422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3716131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -500 - 0.0808.\nAnswer: -500.0808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4695.014 - 4686. Let x = f + -0.034. Round x to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6185*z**3 - 538*z - 2?\nAnswer: -37110*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 233 (base 15) to base 11\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 164 and 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -5. Let l(v) be the first derivative of 1\/2*v**2 + 5 - 11*v. Calculate -5*g(t) + 2*l(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/2)\/(1\/(-2)). Let f be 25 - 19 - (2 - w). Suppose -4*s + 48 = -f*n, 11*n = -3*s + 6*n + 7. Sort 4, 2, s in increasing order.\nAnswer: 2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 75*f - 2851. Determine m(38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(7\/4)*q*q**13 assuming q is positive.\nAnswer: q**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 279403 and 105896?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of -r**4\/54 + 44*r**3\/27 + 64*r**2\/3 + 441*r. Solve p(n) = 0 for n.\nAnswer: -4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-526)\/6*3*(-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 1 - -13 - (296 - 293)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1562675 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 13886 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**4 + 43*d**3 - 34*d**2 - 348*d + 504 = 0.\nAnswer: -3, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -160 - 15*a + 146 + 17*a. Suppose 4*r + 47 = 3*o, -3*o - 2*o - 2*r + 35 = 0. Let w be m(o). Calculate the highest common factor of w and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lb when two letters picked without replacement from boolblbb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j**3*m + 434*j**3 - j**2*m**3 - 2*m**4 wrt m.\nAnswer: j**3 - 3*j**2*m**2 - 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 2 - 4)*(-2 + 3 - 17)*(-158*g + 158*g + 19*g**4) as z*g**3 + x*g**4 + n*g**2 + l*g + w and give x.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (-18)\/(-7))*2\/(-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*n**3 + 47*n**3 - 17*n**3 - 22*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (-7 + 4 - -3) + -2 + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 3:45 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3049, -5955, -8861, -11767, -14673, -17579?\n\"Answer: -2906*f - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) -5\/4  (b) -3506  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3527869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325 greater than or equal to -282.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 308.14 and -698.\nAnswer: -215081.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 PM and 2:42 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + -7. Let p be ((-366)\/12)\/((-3)\/k). Let q = p - -138. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -417*g**3 + 1257*g**3 - 424*g**3 - 422*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4706863.\nAnswer: 7, 641, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the second derivative of -t**4\/12 + 4*t**3\/3 - 5*t**2\/2 + 7*t + 1. Suppose 2*y = 4 + 8. Let l be b(y). Solve v - l = -2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-18)*-2)\/(-4)*6*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 44.2 + -44. Let c = -39.8 - -40. Let b = -0.3 - c. What is the second biggest value in g, 0.5, b, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 96\/(-42) + 5654\/2541?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*g = -74 + 22. Suppose -5*c = 0, -4*w + 7 = 5*c - 93. Let t(o) = -w*o + g + 24*o + 1. Determine t(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -559, -2, -0.09 in decreasing order.\nAnswer: 3, -0.09, -2, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (0 + -2 + sqrt(5) - (sqrt(5) + sqrt(405) + -4)**2))*-5 + -5.\nAnswer: -405*sqrt(5) + 2590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mv when two letters picked without replacement from vmffmmsfsffmmfvfvv?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/466583537 + 4523527396849\/2628731647458. Let z = m + 4\/2817. Find the common denominator of z and 34\/40 - 2\/5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - -2. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 66?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -329, 20, -1 in increasing order.\nAnswer: -329, -1, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -10301 divided by 51798.\nAnswer: -10301\/51798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 215 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 + 2*f**2 - 3*f + 1. Let l be z(-4). Suppose 5*u + l = 339. Calculate the remainder when u is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 26 + 30. Let c = b + 82. Suppose -d = -7 - c. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 364290 and 30840?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*o = -2741, -o = -h + 987 - 75. Solve 0 = 9*i - h + 841 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2 - 35*r + 2 + 24*r. Let s(b) = -b**2 + 11*b. Let c(u) = -5*j(u) - 6*s(u). What is the second derivative of c(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -43412 + -13?\nAnswer: -43425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 8:11 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 25*t - 93 = 0. Solve 5*z + t*y + 11 + 14 = 0, 4*z - 3*y = -20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -733 - -736. Let g(d) = 6*d**2 - 6*d + 7. Let h be g(1). Sort -3, h, a, 1.\nAnswer: -3, 1, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -5*j + 4. Let g(y) be the third derivative of -1\/270*y**6 + 0*y + 2*y**2 + 7\/270*y**j - 4\/27*y**3 - 1\/27*y**4 + 0. Factor g(r).\nAnswer: -2*(r - 2)**2*(2*r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 2*c - 2, 0 = 5*c + 48 - 63. Solve -t*a = 14 - 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (-11 + 1)) + -6 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -2.26, 5\/3, 9, -235, 1\/2, -11?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*d - n, -d - 3*n + 4*n + 4 = 0. Suppose l = 2*v + 1440004, -d*l = -2*v - v - 2160016. Round v to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 1509 = -3*h, -818*h = -815*h + 2*t - 1504. What is the remainder when h is divided by 114?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-10)\/(-15))\/((-112)\/196*7\/9). Which is the smallest value?  (a) 27  (b) 0.4  (c) x  (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 + 4.6. Suppose -6*p - 20 = -2*p - 4*z, -z = p + 11. Let l be (-26)\/(-8) + 2\/p. Which is the second smallest value?  (a) l  (b) 0  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2981, -4843, -7937, -12269, -17845, -24671, -32753?\n\"Answer: -s**3 - 610*s**2 - 25*s - 2345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 9*q = -98. What is the lowest common multiple of 22 and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, w: 4}. What is prob of picking 1 d and 2 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 11, 19 in decreasing order.\nAnswer: 19, 11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14416 - -14420. Let f = 526 - 1025\/2. Which is the nearest to f?  (a) -0.1  (b) 0.2  (c) w  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66717472 is divided by 3511445.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + (-12 - -3) + -4 + (110 - 100).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 23937 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-54415)\/76181*(-5)\/(-6)*8\/50.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(7\/(49\/(-56))).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -36?  (a) 305\/12  (b) -0.9  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = w + h, -w + 54*h + 7 = 58*h. Let u(l) = -300*l**3 + 3*l**2 + l - 1. Does 21 divide u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1075 + -1070.932. Let f = -0.068 + s. What is the second smallest value in 5, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/295?  (a) 22  (b) 0.3  (c) -1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1\/177 - -373\/3363. Let z = 3 - 1. Put z, -3\/4, w in ascending order.\nAnswer: -3\/4, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19.349 - -0.349. Let k = -79 - -56. Let s = k - y. Which is the third smallest value?  (a) -1\/5  (b) s  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116971 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 4  (b) -341374  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 divided by -3632?\nAnswer: -13\/1816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170 = -85*u - 15*u - 1270 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 2*m**2 - 5 + 1 + 5*m + 0 - 3*m**2. Let r be (-4*(-10)\/4)\/(-1). Let v(t) = -t - 6. Let i be v(r). What is p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40510 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1071 + 0.119. Round u to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1175029195?\nAnswer: 5, 2243, 104773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 5708*a**2 - 8*a - 9. Let q be z(-7). Let p(i) = -61369*i + q*i + 57629*i + 4 + 1. Let x be p(5). Round x to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2123, 8445, 18987, 33755, 52755, 75993?\n\"Answer: t**3 + 2104*t**2 + 3*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (674\/(-5))\/(8\/(-20)). Suppose -i + 0*i + k = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*s**2 + 45*s**2 + 68*s**2 + 81*s**2 - 15*s**2 to the form m*s + a + b*s**2 and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -230, -1843, -6216, -14729, -28762?\n\"Answer: -230*i**3 - 3*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 - 14*i**2 + 22*i - 16. Does 10 divide m(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = -4*v - 8*n + 5*n - 8, 20*v + 3*n = 4*v - 58 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 30*q**2 + 12*q + 4. Let w(y) = -29*y**2 - 10*y - 3. Give -5*j(a) - 6*w(a).\nAnswer: 24*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000143931 to seven dps.\nAnswer: 0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6994046?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 7) + -9 + -3 + 5 - -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) -9\/2  (c) 2  (d) 26  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -15  (b) -0.5  (c) -1\/4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 5 = -4*o. Let g = 10 - o. Suppose -4*x = -g*r, 2*x - 5 = 5. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -5*r - 352. Let t = 641 - 644. What is the biggest value in 0.1, t, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -372 divided by -2?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94230 + -54430. Round q to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2. Suppose 2*a - 2*z = 0, -3*z + 9 = 3. Let g(w) = 4 - w**2 - 2*w**a - 4. Give k(g(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2. Let p be q(1). Let o = p + 15. Suppose -n + o = n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -13664, -13496, -13328, -13160?\n\"Answer: 168*d - 13832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 96394080829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.3 - -0.1. Let a = 2547526 + -2547526.1. Let t = 3 - 8. What is the smallest value in t, -1\/8, i, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/sqrt(2))\/(sqrt(30)\/sqrt(20))*2.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/13356 and 61\/323883?\nAnswer: 1295532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/6 + 32*x**2\/3 - 640*x\/3 + 4096\/3.\nAnswer: -(x - 32)*(x - 16)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from xxxxxsxxxxssxxsxxxxx.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -8, 3*d - 2*z = 3*z + 2. Suppose 4*c + 158 = 7*k, -4*c - 115 = -5*k + c. Solve 2*i = -d*j + k, 14 = j + 2*j + i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, d: 4, c: 4}. What is prob of sequence nnd?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.15532414 rounded to three decimal places?\nAnswer: -21.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 159 a factor of 481929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 140, 2\/3, -953 in decreasing order.\nAnswer: 140, 2\/3, -953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z*z**(1\/2)*z*z**3)\/(z**(2\/5))**47 assuming z is positive.\nAnswer: z**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -688 by 2.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24.114 - 24.114. What is the biggest value in -7, -3, t, -0.2, -3\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 48932894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 1 + 29*z - 1 - 19*z. Let q(b) = 7*b + 5. Let t(l) = 3*l + 2. Let j(h) = 2*q(h) - 5*t(h). What is g(j(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*1)\/((9\/72)\/((-21)\/(-28)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (0 - 0)) + 2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**5 + 794*v**4 + 5038*v**3 - 163874*v**2 + 276480*v + 444600 = 0.\nAnswer: -390, -19, -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13022618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 130 - 125. Let g be 1*(i + -6) + 4. What is the closest to 2 in 4, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*g + 978*g - 221*g + 665*g.\nAnswer: 1418*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 3*g - 222 = -c, 3*g = c - 82. Suppose 3*d - 1132 = -5*s, 5*d - 5*s = 1870 + c. What is the greatest common divisor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*u - w - 29 - 62, -3*u = -3*w - 33. Solve 5*j - 30 = 15*k - u*k, -5*k - 4*j - 21 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -68*h**2 + 26*h - 9. Let f(m) = -53*m**2 + 26*m - 6. Give 4*d(n) - 5*f(n).\nAnswer: -7*n**2 - 26*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 185366889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f\/f**0*f)))**(-17)\/(f**(-1)\/f*(f**6\/f)\/f*f)*(f**4*f**(-1))**(-47\/5) assuming f is positive.\nAnswer: f**(-326\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 110665865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -219a43 (base 11) to base 10.\nAnswer: -349979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56804.\nAnswer: 2, 11, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 40 = -3*t. Suppose 25*q - 3325 = t*q. Suppose -3*b = -q + 176. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4\/3  (b) -1\/2  (c) -0.2  (d) 562\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 40 (base 8) to base 6\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b + 16. Let z be g(-11). Suppose 0 = -3*d + 3*h - 9, -4*d + z*h - 2 - 11 = 0. Sort -7, -3, d, 4 in decreasing order.\nAnswer: 4, d, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2 + 1779*o.\nAnswer: -o*(o - 1779)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.49 - -0.01. Let d = q - 3.1. Let o = d - -0.6. What is the nearest to 5 in -0.1, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 + v**2 + v - 1. Let d(b) = -113*b**3 - 32*b**2 - 5*b + 5. Let w(z) = -d(z) - 5*f(z). What is the third derivative of w(j) wrt j?\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/14 in 7408, -1\/3, 0.2, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 464\/7888 + (-1)\/(-68)*-55.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, u: 2, d: 4}. What is prob of sequence du?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*b + 88*b**3 - 178*b**3 + 2*b**2 - 2 + 88*b**3 as c*b + z + d*b**3 + a*b**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (24*g - 3*g - 2 + 15*g)*(6*g - 738 - 402 - 14*g + 9*g) in the form k + p*g + j*g**2 and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-60)\/18)\/((-1)\/(-6)). Let u be (r\/12)\/((-2)\/(-6)). Let b be ((-8)\/10)\/(2\/u). Solve b + 0 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 756475.1 litres?\nAnswer: 756475100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17*114\/(-153)*24\/(-16).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115 + 6 - 108 = -u - 86 for u.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 3*t - q, 2*q = 3*t + t - 30. Solve 3*g + t = -i, -2*i = 2*g - 0*g + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + x + 84, -21 = -2*d - x - 54. Let i = d + 14. Let h = 83.3 - 83.5. What is the closest to 4 in h, -0.5, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -985 + 1046. What is the remainder when 670 is divided by b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 52*k**4\/5 + 6184*k**3\/5 + 11692*k**2\/5 - 936*k\/5 = 0?\nAnswer: -117, -2, 0, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1186616\/17 or 69800?\nAnswer: 69800","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: -2*(-4)\/((-56)\/63)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -j - q, 2*q + 102 = -3*j - 0*q. Let z(v) = 2*v**2 - 30. Let a(u) = 5. Calculate j*a(r) - 5*z(r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3067587211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-6)*z*z**(-17\/2)\/z assuming z is positive.\nAnswer: z**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00260707313 to 6 dps.\nAnswer: 0.002607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 1. Let d(k) = 20*k**2 - 25*k + 1. Let p(i) = d(i) + 4*s(i). Factor p(x).\nAnswer: 5*(x - 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*v - 175, x + 31*v - 46 = 30*v. Solve -85*k + 94*k - x = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 345 = 30*u - 3435. Solve -u = 3*b + 18*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -49*t**2 - 17*t**4 + 26*t - 12*t - 14*t - 5*t**6 + 18*t**4 wrt t?\nAnswer: -600*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10941241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t - 23 = 1. Let c be 246\/21 + t*(-2)\/21. Calculate the highest common divisor of 16 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1337502 (base 9) in base 12?\nAnswer: -2b4785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 33 + -17. Let v = 14 - 2. Calculate the least common multiple of i and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5*48\/(-42) - 2\/(-7). What is the units digit of 734\/q - (-1)\/((-3)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -4, -39, -1, 0, 2.\nAnswer: -39, -4, -1, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.032?  (a) 2  (b) -44\/101  (c) 3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aza when three letters picked without replacement from {a: 2, z: 2, b: 5}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1896*b**5*z + 2*b**4*z**3 + 4*b**2*z**2 - 22*b**2 - z**3 wrt b.\nAnswer: 113760*b**2*z + 48*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3c - 19?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 - 5*y + 7. Let n be 3*(2 - 1) - -1. Suppose -12 = n*x, -2*b + 78 = -2*x - 0*x. Let m = b + -42. Determine p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 903 - 138. Suppose 4*y + b - 1273 = 0, v + 502 = 4*y + 3*b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2\/65 + -209\/3770. Is 0.1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-123)\/(-11193))\/(1\/7)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2 + 52*u + 160.\nAnswer: 4*(u + 5)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -6*x**2 + 100*x + 396. Give n(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 36737 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -13. Put 3, z, 5 in decreasing order.\nAnswer: 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -96809.2 and 22?\nAnswer: -2129802.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -44ad9 (base 16) in base 6?\nAnswer: -10010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of o**4 + 523*o**3 + 45*o**2 - 156*o - 158?\nAnswer: 12*o**2 + 3138*o + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 115799 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -4*h**3 + 299936*h**2 + 2999696*h + 4799616 = 0.\nAnswer: -8, -2, 74994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**5*v + 2*c**4 - 17497*c**2*v + 1013*c*v + 233*c wrt c?\nAnswer: 40*c**3*v + 24*c**2 - 34994*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -306 (base 11) to base 3\nAnswer: -111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2193?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t + 1146 - 1138 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 - (-8)\/(-4))\/(4\/346). Suppose -2*h - h - 1638 = -5*c, -c + 5*h = -310. Let q = c - z. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 450167503 is divided by 1616?\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4\/7, 0.2, -41.48758?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 1003660.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -20*b**2 + 10*b + 3. Let g(y) = 2*y**2 - 3*y**2 - 1 - 8*y**2 + 10*y**2. Let z(h) = -3*g(h) - n(h). Find the second derivative of z(q) wrt q.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.2, -4, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/5, -5, -51?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vkvvkvkvkvkkk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3648725.\nAnswer: 5, 145949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 428679.\nAnswer: 428679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -66, -578, 6 in descending order.\nAnswer: 6, -66, -578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 202 + -3312302?\nAnswer: -3312100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -20\/1653 and 83\/110258?\nAnswer: 6284706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - 7. Suppose -y = -4*p + 2*a, 2*p - 2*a + 14 = 6*p. Solve 0*v = -p*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9\/(108\/(-570))*(-16)\/10. Let j be (-116)\/(-3) - 4\/6. What is the highest common divisor of j and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 13 = 2*p. Suppose 3*y + y - 5*u - 74 = 0, -p*y = 3*u - 111. Calculate the remainder when 61 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/19)*i*i*i**(-13)*((i**(-2\/5)\/i)\/i)**(-20) assuming i is positive.\nAnswer: i**(705\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136 = -48*u - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/18 - (-232)\/6. List the prime factors of (w - 2)\/1 - 1.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 107*p - 158*p - 51*p + 0 + p**2 in the form z*p + x*p**2 + d and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**5 + w**3 - 2*w - 1. Let j(p) = -21*p**5 - 12*p**3 + 35*p**2 + 10*p + 5. Let g(n) = 5*b(n) + j(n). What is the third derivative of g(z) wrt z?\nAnswer: -960*z**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 349*n - 5. Let c(l) = 679*l - 10. Determine -6*c(m) + 11*v(m).\nAnswer: -235*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - b = 13, -4*z + 30*b = 24*b - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2187229.\nAnswer: 11, 198839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -102*c**4 + 224*c**4 - 291*c**4 + (12*c + c - 9*c)*(-2*c**2 + c**3 + 2*c**2).\nAnswer: -165*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 36*(-1 - (-14)\/8). Let c be (-34)\/(-9) + 6\/y. Let l(f) = 4 + 3 - 5 - 7*f - 6. Let w(b) = -6*b - 3. What is c*l(t) - 5*w(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -51*h**3 + 21*h. Suppose 27*q - 114 = 8*q. Suppose 4*p = p + q. Let b(l) = -5*l**3 + 2*l. Determine p*j(g) - 21*b(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 19 = -3*i, -12 = -36619*u + 36619*u - 4*i for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2107 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 334569283?\nAnswer: 43, 271, 28711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 52.57 and -2033321.\nAnswer: -2033268.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**3 + 3*r**2 - 6. Let x(t) be the third derivative of 17*t**6\/120 + 13*t**5\/60 - 4*t**3 - 734*t**2. Determine -26*k(v) + 6*x(v).\nAnswer: -2*v**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2302052 is divided by 9135.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 8:52 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -17*m + 137. What are the prime factors of f(-16)?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.7 - -0.3. Let j = 15.09 + -14.59. What is the closest to -0.3 in j, z, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84410 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + f + 56. Let y = -10 + f. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(45) - (sqrt(1125) + 3)) + sqrt(45))**2 + 0.\nAnswer: 54*sqrt(5) + 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + (-665)\/3)*-12. Let h be i\/44 - 2\/11. Suppose 0 = 2*w + 5*f - 17, -h = -5*w - 0*f + 5*f. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 - 7*n - 8. Let f be g(-5). Find the second derivative of 4*d**2 + 12*d**f + 4*d + 10*d - 5*d**2 wrt d.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4435*367\nAnswer: -1627645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 4*w - w. Does 6 divide w\/3*(-9)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 989260*x**5 - 3745045*x**2?\nAnswer: 59355600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 73*k**2 - 3*k + 2. Let w be l(1). Which is bigger: 14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -221 (base 3) to base 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 5*a - 3. Let b = -17 + 20. Suppose 2 = -d + b. Calculate the remainder when g(6) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3556 (base 7) to base 8.\nAnswer: -2443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 20335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20626, -20664, -20726, -20812?\n\"Answer: -12*w**2 - 2*w - 20612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - i = 2, 4 = 2*f + 3*i - i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 20*d**2 + 258*d - 963. Determine l(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 > 3282\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -13  (b) 0.3  (c) 62771\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c**3 + 27*c**2 - 75*c + 481. What is n(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 34\/5 of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 - 63*k**2 + 2*k + 141. Let f be x(-63). Solve 4*v = 1 + f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1243800 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (h - 3*h - 199 + 190)*(1 - 7 + 1) as p*h + a and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -30*g + 6*g + 12 - 130. Let t be l(-5). Solve -4*m + 8 = -0*m + 3*j, -t*j + 3 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.914697839 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/((1176\/35)\/2*1335\/2136)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2621 + -2616. Suppose p = -3*p + 12. Which is greater: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - (-20 + 4)) + -2*2. Solve j = -j - d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7357*v**2 - 7714 wrt v?\nAnswer: 14714*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from {n: 7, u: 10, s: 1, h: 1}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 3*h = 0, 0 = -h - h + 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + w = -3*h - 1, -7 = 5*h + 4*w. Sort 3\/4, -1, h in decreasing order.\nAnswer: 3\/4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**5 + z**4 - 33*z**3 + 56*z**2 - 20*z.\nAnswer: z*(z - 2)**2*(z + 5)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49 + 13*o**2 + 49.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 + 12. Let p = -22 + g. Calculate the lowest common multiple of p and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -4*h**3 + 2*h**2 - 2*h + 54. Let d be o(0). What is the greatest common divisor of d and 999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1547.39115 - 0.19115. Round u to the nearest 10.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {u: 2, h: 1, t: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -3*z + 57, -z = -h - 0*h - 21. Calculate the remainder when 69 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(441)*-2*5)\/((sqrt(77)*1)\/sqrt(11)))\/((sqrt(72) + (sqrt(72) - (6*2*sqrt(72) + sqrt(72))))\/((-2*sqrt(88))\/sqrt(11) - sqrt(8))).\nAnswer: -30*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111110110110011 - 1110011?\nAnswer: 111110101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 - v - 1. Let y(m) be the first derivative of m**3\/3 + 3*m - 14. Determine -2*j(i) - y(i).\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -4214  (c) -1115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 158 = 5*m + 128, -4*x + 10 = -2*x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18893307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3955278 rounded to three dps?\nAnswer: -0.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 1:15 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40836.\nAnswer: 2, 3, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 195626 (base 11) in base 8?\nAnswer: 1112305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -53 + 54. What is the smallest value in q, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*i**2*r**3 + 12*i**2*r**2 + 294*i**2*r + 3*i**2 - 3*i*r**3 - i*r**2 - 3*i*r + 2*r**2 - 1 wrt i?\nAnswer: 4*r**3 + 24*r**2 + 588*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + 13*w**2 + 23*w - 13. What is g(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-48)\/32)\/((-2)\/(-236))*-4. What are the prime factors of (k\/(-10))\/((-144)\/(-40) - 4)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**2\/3 + 194*o\/3 - 1200 = 0. What is o?\nAnswer: 25, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from dddddddddppdddpppp.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20025 by -5.\nAnswer: -4005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 7, -4, 5 in descending order.\nAnswer: 7, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -59120, -118222, -177364, -236552, -295792, -355090, -414452?\n\"Answer: -y**3 - 14*y**2 - 59053*y - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -318*b**2*x**4 - 88*b**2*x - 6*b**2 + 15*b*x**4 - 3*b*x + 3*x**2 wrt x.\nAnswer: -7632*b**2*x + 360*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6439448?\nAnswer: 2, 23, 79, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2392.176 and 0.2.\nAnswer: -478.4352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of -5*u**2 + 4*u + 9. Does 24 divide a(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/6*-2)\/(9\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 123567 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: Which is the third smallest value?  (a) 5\/386  (b) 132  (c) -1\/4  (d) -3\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 385685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 268577 (base 9) in base 10?\nAnswer: 163771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -423*q**3 - 3*q**2 + 37*q + 334405 wrt q?\nAnswer: -1269*q**2 - 6*q + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bm when two letters picked without replacement from xxbmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 3*h - 42. Suppose 5*k - 41 = -h. What is the third derivative of -11*u**2 - 4*u**4 - 10*u**4 + 2*u**k wrt u?\nAnswer: -288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.85456 hours in milliseconds?\nAnswer: 71476416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -142078 (base 9) in base 12?\nAnswer: -422b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 232919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/40*1)\/((-3)\/18).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -308168 divided by -56.\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 + 9*z**2 - 9*z + 5. Let u be o(8). Is (-548)\/(-12) + (-1)\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3*i**2 + 2*i**2 - 8 + 7 + 2*i**2 + 7*i. Suppose 2*o + 2 = -12. Give p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/32 and 125\/10464.\nAnswer: 10464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nwt when three letters picked without replacement from pbntpwbpepbpbb.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 56111860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7846, -11067, -14288, -17509, -20730, -23951?\nAnswer: -27172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**4\/5 - 1352*h**3\/5 - 4074*h**2\/5.\nAnswer: 2*h**2*(h - 679)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2 + 0*o - o + 0*o. Let l be r(-2). Solve -4*h + 3*x = 6, 5*h + 3*x = -l*x - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6982, 2\/15, 1, 15\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 53, 37\/25, -2\/5.\nAnswer: -1, -2\/5, 37\/25, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i - 31. Let o(g) = -3*g + 92. Determine -17*k(m) - 6*o(m).\nAnswer: m - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*-4*3\/6. Suppose 0*v + 4 = -4*v. Let o(k) = -k - 1. Let x(y) = -47*y - 11. Let l(z) = 20*z + 4. Let f(w) = -7*l(w) - 3*x(w). What is u*o(t) + v*f(t)?\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -487 divided by 12\nAnswer: -487\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 244 is divided by (12\/(-15))\/(62\/(-15) - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 573849 is divided by 239.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 17 + -23 + 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (0 - (44 - 38 - (-1 + 5))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 44 = -6*y + 2*y, -5*n - 3*y = -77. What is the smallest common multiple of 68 and n?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 167 = r, -5*d = -4*r - 41 - 594. Let v = r - -272. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*k - 2*k - k + (-k + 0*k + 2*k)*(-51 - 45 + 0)*(1 + 0 - 2).\nAnswer: 98*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 67695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*-1*-2*(-2)\/88.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 0 - 2)*(j + 3 - 3) - 6*j - 157 + 157 - 12*j - 15 + 15 + (6 + 0 - 4)*(-2*j - 1 + 1) + 0 + j + 0 to the form y*j + o and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -3*i + 482, -3*i + 0*i + 474 = -3*r. Let j(f) = -4*f - 5. Let b be j(-2). Suppose -6*v + b*v = -54. What is the greatest common divisor of v and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1639 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 239653333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -5*m**2 - 5*m. Let g(j) = 12*j**2 + 8*j. Let f(p) = -2*g(p) - 5*x(p). What is f(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2138 is divided by 2104.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 0, -2*u = -2*r + 6*r. Solve -3*x + u*x - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xod when three letters picked without replacement from xdwposwwwwsxdppwpspw?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 274*r + 8. Let l(b) = -2*b**3 + 822*b + 22. Determine 5*l(q) - 14*o(q).\nAnswer: 4*q**3 + 274*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-5*(sqrt(288) - 2*sqrt(288))**2.\nAnswer: -7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*o = -5*o + 102*j + 402, 4*j - 75 - 40 = -5*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n + n - 2 - 3*n)*(-2 + 3 + 3)*(4 - 2 - 3).\nAnswer: -4*n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8226, -10128, -12030, -13932?\nAnswer: -15834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*i**2 + 2 + 55*i + 20*i**2 - 57*i to l + p*i + z*i**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*y + 714 = 46*y. Let g be 48\/27 - 4\/(-18). Let s be 5 - (2 + 0 + -2). Solve y = -u + 4*u - g*r, -s*u - 3*r = -37 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 784 and 13328?\nAnswer: 13328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from cjcccccccjcjcc.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -s + 51, t + 96 = 2*s - 4*t. Let v = s + -127\/3. Which is the closest to v?  (a) -1\/4  (b) 0.1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 6*u**3 + 11*u + 11. Let z = 19 - 14. Let x(g) = -2*g**3 + z*g**3 + 6*g + 0*g**3 + 6. Determine 6*q(y) - 11*x(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(2\/9)*a**(-2))\/(a**(-2\/5)*(a*a**6)\/a*a)*(a**2*a**2*a)**(4\/7) assuming a is positive.\nAnswer: a**(-1424\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, -0.4, 2, 1, -1\/3, -5.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -76*b. Let k(c) = -2*c + 6*c - 9*c + 5*c - 3*c**2. Give i(k(f)).\nAnswer: 228*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -6  (b) -1\/99  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3268534?\nAnswer: 2, 1634267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 3*r - 13 - 11 = 0, 3*p - 5*r - 32 = 0. Suppose p*k - c - 2 = c, 6 = -3*k + 3*c. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2*b - 11 = -2*h, -5*h = -b - 24. Let x = 1398245\/319179 + 3\/15199. Let g = 26\/7 - x. Is b <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-60)\/(-20) - 1039997\/(-1). Round s to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 35*o**2. Let s(f) = -89*f. Calculate l(s(u)).\nAnswer: 277235*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4598883*s**4 + 23*s**2 + 10298*s - 2.\nAnswer: 110373192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2840180201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 19\/(6 + -2 - 3). Does 16 divide (2 + -1)*-3 + k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7661.\nAnswer: 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 - -22. Suppose -3*v + 0*v + 12 = y. Suppose -24 = -2*a - v*l, 0 = -4*a - a + 2*l. Put 8, 0.1, a in descending order.\nAnswer: 8, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*k**3 - 16*k**3 - 15*k**3 - 15*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {x: 2, b: 1, u: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 9:47 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*g - 20 = -126*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/1)\/6*(6 + 0). Solve 16 = 5*h + 4*g - 4, 2*h + o*g = 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of 0*c**3 + 0 + 0*c**2 - 16*c + 1\/4*c**4. Let w(g) be the third derivative of 11*g**4\/24 + 10*g**2. Calculate w(h(a)).\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (31 - 18) + 7 + -7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/27456 and -67\/384?\nAnswer: 54912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -1\/127, -2\/5 in decreasing order.\nAnswer: -1\/127, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.26 + -0.04. Let v = 571 - 571.05. Sort v, b, 1\/8.\nAnswer: b, v, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-1261)\/(-39))\/((-3)\/(-90))?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**5\/4 + 12*k**4 + 11*k**3 - 71*k**2\/2 - 45*k\/4 + 47\/2 = 0. Calculate k.\nAnswer: -47, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 557*p**5 + 10*p**4 - 2*p**3 + 54325*p**2 + p wrt p?\nAnswer: 33420*p**2 + 240*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 432?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 + 13*c + 50. What is the smallest common multiple of r(-18) and 154?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -875 + 623. Let j be (-1)\/6 + (-114)\/m. Let y be (8\/6 - 1)\/3. Sort y, j, -1\/4 in increasing order.\nAnswer: -1\/4, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 2, -198, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 20*k = -118, 2*a + 0*k - 42 + 16 = 4*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {u: 5, r: 7}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-12))\/(89\/534).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 1\/6, -38, 2\/11, 0.22, -3\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 11031033?\nAnswer: 11031030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 7. Suppose 5*q - 7 = -2. Solve l*h = -q - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -2074714.\nAnswer: -1\/1037357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 393*h - 25941. What is r(308)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {j: 1, o: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 41555959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 + (-22)\/4)*(-8)\/1 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of -3*p**5\/20 - 31*p**4\/6 - 13*p**3\/2 + 15*p**2 - 4*p - 8. Let r be j(-20). What is the smallest value in -3, r, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -217430287 + -78.1\nAnswer: -217430365.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-77 - -79) + 1224 + -2. What is the highest common divisor of 576 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 10*l**2 + 24*l - 3. Determine z(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 5*s**2 + 3*s + 1. Let q be d(-1). Suppose -q*u - 36 = -9*u. Solve -5*m = -2*m - u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f\/(f*f**(-7)))*f\/(f\/(f**(-9)\/f*f))*(f*f**(3\/8))**11 assuming f is positive.\nAnswer: f**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*0.0421\nAnswer: 0.00421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 5*s + 46, -4*b + 5*s - 38 = -6*b. Let q be 1\/(-7) + 834400002\/b. Suppose -4*y = -0*y + q. Round y to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8 or 2.008279?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 86244899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2 + 20*h**2 + 0 + 6 + h**3. Suppose 90 = -4*f - 2*q, -6*f + 2*f = 5*q + 105. What is the remainder when 37 is divided by i(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*(-32 + (-25547)\/(-1062)) + (10\/4 - 1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 - 391972*b. Let x(z) = -2*z**2. What is v(x(d))?\nAnswer: 4*d**4 + 783944*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 - v. Let g(s) be the third derivative of -s**5\/5 - 11*s**4\/24 - 5*s**2 - 4*s. Give -44*d(k) + 4*g(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of y**4\/12 - y**3 + 15*y**2\/2 - 23*y. Let j be s(13). Is -1 + j\/(4\/4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 89086494 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of 5\/6*g**3 + 4 + 9\/10*g**5 - 2*g**4 + 0*g + 1\/2*g**2. Determine v so that h(v) = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0116603 rounded to five dps?\nAnswer: 0.01166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -9*q - 5*q. Let u be q*(-2 + (-8)\/(-6)) + 2. Suppose 6*m - 46 + 4 = u. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*(p*p**(11\/2)*p)\/p*p*p)\/(p**(7\/3)*p))**(9\/5)*p**(-1\/3)*p**(-1)*p*(p**6\/p)\/p*(((p*p*p\/p**(-1)*p)\/p*p*p)\/p)\/p assuming p is positive.\nAnswer: p**(563\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1333 - 1305. What is the least common multiple of n and 9?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.746939 litres in millilitres?\nAnswer: 6746.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.08 - -2.08. Let m be 2\/(-3) - 2\/6. Let r be m - -2 - 22\/18. What is the second biggest value in n, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -q**4\/28 - q**3\/14 + 3*q**2\/7 - 3*q + 4. Factor s(p).\nAnswer: -3*(p - 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of -o**4\/12 - 11*o**3\/6 + 2*o**2 - o. What are the prime factors of g(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 86*c - 102*c - 190*c - 215*c - 127*c. Let s(t) = -2*t. Determine d(s(x)).\nAnswer: 1096*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1281 and 9?\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*x + 747 = 124*x + 2628 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 35*v - 543. Calculate i(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(500) - (3 + sqrt(500) + sqrt(500))**2) - sqrt(500)*-3*2.\nAnswer: -2012 - 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.25, 1\/5, -2\/3985?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -14*m - 273*m**2 + 3 + 278*m**2 + 2 + 4 + m**3. Let z be a(-7). Solve 5*d - z = 3*r, 0 = 2*d - r + 1 - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10836634?\nAnswer: 2, 23, 37, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -13. Suppose t*l + 1 = -4. Is l + (-1 - -3) + 17 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + g = 2*g - 3, -13 = -2*p - 3*g. Let j = -62 - -58. Which is the nearest to p?  (a) j  (b) -2\/9  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -3*w + 4. Let f(y) = 49*y - 63. Calculate 4*f(z) + 63*o(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 926968*v**2 - 674176*v?\nAnswer: 1853936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-8 - -22 - 28) + 55.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 - 8*s**2 + s - 4. Let w be k(8). Suppose o - 5 = -i, -w*o + 3*i = -2*o - 25. Let y be (3 - 4) + (0 - -1). Solve o = -y*p - 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31 - 47. Let r = n - -22. Solve 4*i = -4*j + r + 10, -5*i - 3*j + 18 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*c**3 - 24*c**3 + 8*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 8*f + 9*f = -1, -5*o = 5*f + 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 40611711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 8:18 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together 42 and -44210.\nAnswer: -44168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5560, -0.2, 1, -5\/26?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 9108\nAnswer: 1\/4554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 2 c when four letters picked without replacement from dzonznnndici.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9937371 is divided by 3312426?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/84*(-148)\/185?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggggggggggggmggggmgg?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 78 + -24. Suppose 4*a + 2*x = i, 0 = 2*a - 5*x - 0*x + 3. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 170\/3*(-735)\/(-70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 258473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -4*m**2 - 8*m + 4. Let j(y) = -5*y**2 - 9*y + 5. Let x(w) = -4*h(w) + 3*j(w). Let s be x(-6). Suppose -2*n - 111 = -s*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1439659 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/28 and 420\/(-1750)*4\/(32\/45).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i + 16*i = 119*i - 528 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3552941 is divided by 72508?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -153917 divided by -16?\nAnswer: 153917\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 635775026 to the nearest integer?\nAnswer: 25215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**4*t\/t**10*((t\/(((t\/t**(-9))\/t*t)\/t))\/t)\/(t\/((t*t**(1\/7))\/t)) assuming t is positive.\nAnswer: t**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(3993) - (-1*sqrt(3993) + sqrt(3993))))\/(sqrt(77)\/(2*sqrt(28))).\nAnswer: 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 721 divide 58877581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -17.55, 1, 1.3, -17?\nAnswer: -17.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/44688 and -107\/3192.\nAnswer: 44688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29\/176 - 3\/176. Let r = -3.2 + 4. Let p = -0.4 + r. Which is the third biggest value?  (a) p  (b) -1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9315008526.\nAnswer: 2, 3, 17, 31, 67, 43969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i - 46. Give b(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.22379 to 3 decimal places.\nAnswer: 0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 0*d - 3 = -5*d, -5*v = 4*d - 14. Suppose 0*b - 6 = -2*b. Let f(q) = -1 - q - 2 + b - v. Determine f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 - -2. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 127 + -49. Let h = l - 56. Let i(f) = 4*f**2 - 14*f + 12. Let o(y) = 21*y**2 - 70*y + 60. Let d(j) = h*i(j) - 4*o(j). Factor d(v).\nAnswer: 4*(v - 6)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/8)\/q)**(-3\/17) assuming q is positive.\nAnswer: q**(27\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of 4*a**2 - 387. Let k(s) be the first derivative of -5*s**2\/2 - 2. Determine y(k(o)).\nAnswer: -40*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212*x = 45*x + 18370. Calculate the least common multiple of x and (-68)\/(-3) - (-4)\/(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 6:55 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7.6 + 40.6. Let k = p + -32.8. Let l = -7.8 - -2.8. What is the nearest to k in -1, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*l**3 + 200594277*l - 200594277*l.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**2\/2 - 243*i\/2 - 6647 = 0. Calculate i.\nAnswer: -46, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2532, 5137, 7740, 10341, 12940, 15537, 18132?\nAnswer: 20725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 16525982, 66103892, 148733742, 264415532?\n\"Answer: 16525970*o**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3641936 or 25493553\/7?\nAnswer: 25493553\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -3*z**2 - 11*z - 5. Let k(g) = 3*g**2 + 10*g + 4. Let v(p) = -4*a(p) - 5*k(p). Suppose v(j) = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.094 and -192319?\nAnswer: -18077.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (4\/9)\/((-2955)\/(-90) + 2) and -55\/27.\nAnswer: 5643","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49139899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -d**4\/4 - 13*d**3\/3 - 6*d**2 + 3*d - 11. Let r be z(-12). Find the second derivative of 18*w + w**3 - 13*w - 5*w**r wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1235 or 28?\nAnswer: -1235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91 = -8*x - t - 3*t - 71, 0 = 4*x - 2*t + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 173 = -6*q. Let a be (1059 + 1)\/(27 - q). Is 0 + a + 5\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 5 - 3)*(2 + 0 + 0)*(-31 + 31 - 8*n**3) to b + q*n**3 + g*n**2 + x*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4\/143, 2, -3 in descending order.\nAnswer: 4, 2, -4\/143, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1314*l - 590 = 1255*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**4\/4 - 14*p**3 - 431*p**2\/4 - 94*p.\nAnswer: -p*(p + 1)*(p + 8)*(p + 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 5 + 5 - 5 - 1 + 1 + 0 - 2 + (1 - 1 - 2)*(4 - 3 - 2) - 2 + 1 + 0)*(0*g**5 + g**5 + 0*g**5).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2*k**2 - 11*k + 9. What is j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddzzddyydddzzzz. What is prob of picking 2 z and 1 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2*96\/336*(-21)\/(-12)*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 58, 477, 1192, 2215, 3558, 5233, 7252, 9627?\n\"Answer: 2*x**3 + 136*x**2 - 3*x - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8311 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1666 - -1666.7. Sort 3, 1, -1\/4, y in ascending order.\nAnswer: -1\/4, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.24779 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 l, 1 h, and 1 a when four letters picked without replacement from ahpbbblb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-458)\/44805 + (-12)\/30. Let n = 34\/87 + r. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -454*t + 419*t + 105 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 639 + -639.4. Let r = -2\/15 - 8\/15. Let f be (10\/4)\/(-8 + (-150)\/(-20)). Which is the nearest to r?  (a) f  (b) q  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)\/(sqrt(6)\/sqrt(3)) - (1*(sqrt(13) + sqrt(26)\/sqrt(2)) + sqrt(13))) + -3.\nAnswer: -2*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s + 3. Let k(j) = -2*j**2. Let o be k(0). Let p(r) = -1 + 5*r - 1 - 7*r + o. What is -4*p(f) - 3*q(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -68, -2, 4 in descending order.\nAnswer: 4, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/3)\/((-11)\/165)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9489124*l**2 - 5346715*l.\nAnswer: 18978248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*l + 25 = 0. Suppose 61*z - 4 = -31*z + 180. Solve l*g = -j - 0*j - 12, -z*g = -3*j - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 128455328 divided by 2?\nAnswer: 64227664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 4. Suppose 3*s - 25 = -c*s. Suppose -g - 14 = -3*j, 11 = s*j + 4*g - 1. Calculate the least common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*(((o*o\/o**5*o)\/o)\/o)\/o*o)\/o**9)\/((o*(o*o\/o**(1\/5))\/o)\/(o\/(o**(-4)*o*o))) assuming o is positive.\nAnswer: o**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, v: 7}. What is prob of sequence gg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.09282 - 0.20718. Which is greater: 541 or o?\nAnswer: 541","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.78 + -1. Let f = 0.02 + l. Which is the closest to 1?  (a) f  (b) -0.4  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*d**2*n + 2557*d**2 - 261*d*n + 92*n wrt d.\nAnswer: -14*n + 5114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 2*d = 132. Let h be 2\/(-1) - (17 + d). Let s be 8\/(h\/(3\/2)). Let v(c) = -c**3 + 5*c**2 - 6*c + 5. Calculate v(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(320))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 21 - 35. Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.03 plus 0.43?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 27438327 divided by 7?\nAnswer: 3919761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.07196 rounded to 2 decimal places?\nAnswer: 3.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.53439387 - -0.12939224. Let y = 178.405 - 178. Let z = x + y. Round z to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1713467 and 460504432?\nAnswer: 462217899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -k - 406, -4*q - 5*k = -3*q - 424. Suppose -2*r + 432 = 5*h, 5*r - h = q + 671. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 469\/196 + (-2)\/(-14) + (-4)\/14.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 641 - 634. What is the highest common divisor of 8 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 69*v**2 - 8*v - 1. Let b be z(-1). Let w(u) = -36*u + b*u - 39*u. Let o(r) = 3*r**2 + 7*r**2 + 7*r**2. Calculate w(o(a)).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + t = -3*r - 29, -4*t + 3*r + 25 = 0. Let n(s) = -3*s - 3 + t*s**2 + 5 - 6*s**2. Suppose -v + 3*v + 6 = 0. Give n(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -6*g**3 + 16*g + 16. Let i(t) = 5*t - 7 - 4 + 16 - 2*t**3. Give -5*b(u) + 16*i(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1465.888 rounded to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 4*k - 3. Let m be 8\/((-4)\/(-1) + -2). Let w be x(m). Let p = 27 - w. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -9. Let d = v + 2. Suppose 107*k - 8 = 103*k. Solve -3*y - 5*m = 4, 0*y + 2*m - d = k*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y + 1. Let w(x) = 70. Let j(b) = 7*q(b) - w(b). What are the prime factors of j(40)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 177188 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6092*z**2 + 12*z**4 + 534*z**3 + 1680*z**3 + 126736 + 224636*z + 19048*z**2 - 50*z**3 + 74912*z**2 = 0 for z.\nAnswer: -89, -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + n + 5*m - 32 = 0, -m = 2*n - 12. Suppose n*p + 3*o = 41, -p = 2*p + 5*o - 39. What is the lowest common multiple of p and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -405, -711, -1011, -1305, -1593?\nAnswer: -1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 60 - (7802\/415 - 2\/(-10))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*i**3 - 513*i**2\/7 - 408*i\/7.\nAnswer: -3*i*(i + 1)*(35*i + 136)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29*p**5 - p**4 + 27*p**2 - 29*p.\nAnswer: 1740*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f + 14. Let q be a(10). What is the units digit of (-2)\/((-1)\/(10\/q))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**2 + 4*l. Let h(a) = -2*a**2 - 3*a. Let p(o) = 4*h(o) + 3*u(o). Let g(v) = -19*v - 21*v + 44*v. Give p(g(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 215*k**2 - 77*k - 82. Calculate q(-1).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q - 5*q - 3*q + (0 + 0 - 2)*(2*q + 3*q - 6*q) - 3*q + 0*q - q + (3*q - 3*q + q)*(5 - 3 + 0).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of q**3\/3 + 9*q**2\/2 + 8*q - 2. Let h be m(-6). Is 27\/(h\/8 - -2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 658, 2611, 5866, 10423, 16282, 23443, 31906?\nAnswer: 41671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38916832 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 152, 296, 442, 590, 740, 892?\n\"Answer: n**2 + 141*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -548019 or -547909?\nAnswer: -548019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**5 + 80*m**4 + 390*m**3 + 720*m**2 + 405*m.\nAnswer: 5*m*(m + 1)*(m + 3)**2*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z + 410*q - 412*q + 5, -3*q = z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 6314.\nAnswer: 6314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 153 - 149. Let k = g - 25. Is k >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*r = 4*r + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 20b6 + 0?\nAnswer: 20b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2181070 by 218107.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of -13*x**6\/6 - 18*x**2 - 26. What is the second derivative of n(p) wrt p?\nAnswer: -260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*r**2 + r**2 + r**2)*(-r + 1 - 1) - 3*r**3 + 2*r**3 + 2*r**3)*(6 - 7 + 14).\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4189090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 divided by 53?\nAnswer: 25\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1046*o**2 + 783*o**2 + 966*o**2.\nAnswer: 703*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 5*j**3 - 58*j**2 + 2*j - 4. Let k(b) = 9*b**3 - 116*b**2 + 4*b - 6. Determine -4*k(s) + 7*w(s).\nAnswer: -s**3 + 58*s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 197\/1140 and -157\/36690?\nAnswer: 1394220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence grpg when four letters picked without replacement from {r: 4, p: 3, g: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, p: 3, f: 1}. Give prob of picking 1 p and 1 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:59 PM and 10:23 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 4*n**2 - 2*n - 4. Let o be c(3). Which is greater: 30 or o?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 63039 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16*c*k**2 - 2*c*k*x**3 + 18*c*k*x**2 - 3*c*x**3 + 359*c*x**2 + 2*x**3 - 2 wrt k.\nAnswer: -32*c*k - 2*c*x**3 + 18*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7041 + 71?\nAnswer: -6750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 - 2*d + 2. Let a = 19 + -17. Let s be n(a). Solve 4*h = s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3010414402 (base 5) to base 9\nAnswer: -12170484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 37\/5 of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (24 - 17) + (0 - 2). Let n be -1*6*(-6 + u). Solve 0 = -s - s + f + n, -5*f = s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68\/3 of a day in minutes?\nAnswer: 32640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1063*k = -1070*k + 91. Let n(h) = h**2 + 8*h + 14. What is the remainder when n(-12) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 77 + -45. Suppose -3*t - 4*j = -t - 30, 5*j - q = -2*t. What is the second derivative of 12*n - t*n + 3*n**5 - 2*n**5 wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - 6. Let p(g) = 3*g**2 + 0*g + 6*g - 2*g**2. Let n be p(-5). Let u(i) = -i**2 + 5. Calculate n*m(h) - 6*u(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-85)\/15)\/(((-112)\/(-72))\/(-14)). What is the greatest common divisor of i and 1088?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1372\/18 + (-2)\/9.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2012268, -2012272, -2012276?\n\"Answer: -4*k - 2012264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3704, -7029, -10354, -13679, -17004, -20329?\nAnswer: -23654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 19*j**2 - 4*j + 12. Let m be n(-19). Let b be (24\/(-16))\/((-4)\/m). Solve -b = 5*g + 4*h, -3*g = -5*g + h - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 5379605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 596*y**2 - 4*y + 3. Let n be w(2). Suppose n = 2*z - 4973. Suppose b = 4*b - 3*m - 2757, 4*b - 3*m - z = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of z**4\/78 + 2*z**3\/39 + 3*z. Find d such that b(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l**3 + l. Let x(u) be the first derivative of -u**4\/4 + 5*u**3\/3 + 7*u**2\/2 - 5*u - 1. Let c = -7 + 13. Let b be x(c). Determine y(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18070 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -102 less than -514\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - 2 + 2 + (-5 - 1 + 2)*(3*r - 2*r - 2*r) + 3*r + 0*r - 4*r)*(-5*r**2 + 7*r**2 + 5*r**2).\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 168 = -0*u. Suppose -n = -c + 1, 3*c - 22 = -5*n + 13. Suppose -34 = -n*f - 2. Calculate the highest common divisor of f and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -189 and 1?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/3))**25)**(5\/16) assuming a is positive.\nAnswer: a**(125\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 374 and 4940234.\nAnswer: 54342574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11\/19 + -9\/19. Let w = x + 53\/38. What is n in 2 - 1\/2*n**2 - w*n = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -107*q**2 + 306*q**2 + 8*q**3 - q + 12*q**3 - 91*q**2 - 107*q**2. Determine i(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 12, u: 1, x: 7}. What is prob of picking 1 v and 2 x?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15 + 1 + 12)*(-2409 + 1205 + 1249)*(2 - 2 - 1)*(3*i - 4*i + 4*i) to a*i + p and give a.\nAnswer: -3780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + u**2 + u - 3. Let h be a(-2). Suppose h*d - 6*d = 14. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 4 - 2) + 20\/(320\/432).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*3*6*sqrt(2754))\/(sqrt(98) - 1*sqrt(98) - (sqrt(2) - (sqrt(8) + sqrt(48)\/sqrt(6))\/sqrt(4))))**2.\nAnswer: 4015332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 168 - (2 - 2) - 2. Let t = -1638 - -1734. Let a = j - t. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 98 and 826?\nAnswer: 5782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11339172 and -13.\nAnswer: -147409236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a*(a*(a**0\/a)\/a*a)\/a)*a*a)**(-10)*(a**(1\/2))**(4\/31))**(-4) assuming a is positive.\nAnswer: a**(2472\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.062511 - 0.0628. Round c to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*c + 58 + 47 = 0. Suppose 0 = -4*p + 148 - 28. Sort 1, p, c in decreasing order.\nAnswer: p, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 9*q + 5. Let l(z) = 9*z + 4. Suppose -5*s - 21 = -1. Let k(p) = s*l(p) + 3*h(p). Calculate k(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*o - 5*a - 36, 8*a - 10*a = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - 9*b + 4. Let j be 14\/1*(-2)\/4. Let v be p(j). Calculate the highest common factor of v and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40026?\nAnswer: 2, 3, 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4766.544 plus 71028151?\nAnswer: 71023384.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.7658 + -0.0242. Let c = q - -8.79. Sort -2, -0.06, c in ascending order.\nAnswer: -2, -0.06, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 306600.039 plus 0?\nAnswer: 306600.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from {r: 6, k: 3, m: 8, x: 1, l: 1}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -143, -252, -359, -464, -567, -668, -767?\n\"Answer: g**2 - 112*g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -29034*i*l**3*m**2 + 116*l**3*m**2 + 22*l**2*m - 2*m**2 wrt i.\nAnswer: -29034*l**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6761.479 millilitres in litres?\nAnswer: 6.761479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -x, 4 = 30*x - 31*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -329*l**6 + 285*l**2 wrt l?\nAnswer: -39480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.00266  (b) 11487  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1114 - 1.8886. Sort n, -430, 0.5, -8.\nAnswer: -430, -8, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 8*g - 94. What is the least common multiple of m(20) and 3096?\nAnswer: 34056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (r**4 + 2826*r**3 - 2826*r**3 - 23*r**2)*(3 - 4 - 1) to f*r + a + b*r**3 + t*r**4 + g*r**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -1. Let m(t) = -t + 0*t + 1 + 2*t + 3. Calculate -4*d(q) - m(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -204*t**2 + 2272*t + 130. Give k(11).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 96989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -1.96. Let f = -0.44 + k. Which is the closest to 0.2?  (a) 1  (b) 2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(1900)*2*6 - sqrt(1900)) + 3)**2.\nAnswer: 440*sqrt(19) + 229904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 110772281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -100111 (base 2) to base 7\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c + 11. Suppose -54 = 7*z - 5. Let h be w(z). Let u(f) = -3*f - 1. Let y be u(-2). Solve h*j + y*r = -0*j, -r = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 4*q**2 - 1. Let i be l(5). Let r(k) = -2*k + 4. Let j be r(7). Let y = j + i. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 2*n**4\/7 + 16*n**3\/7 + 36*n**2\/7 + 32*n\/7 + 10\/7 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4535 is divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of -126752 and -4.01.\nAnswer: -126756.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 157\/6 + -26. What is the closest to 4 in -0.1, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/5 + 2352\/(-70). Is ((-44)\/j)\/(4\/894) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11019, 11042, 11051, 11022, 10931, 10754, 10467?\nAnswer: 10046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 6*y**3 + 4*y**2 + y + 4. Let m be (-10758)\/5216 - 2\/(-32). Give n(m).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 255 + 75?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1115, -1095, -1049, -971, -855, -695?\n\"Answer: r**3 + 7*r**2 - 8*r - 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-23)\/((-253)\/44)*(2 + 2). Sort -0.7, -4, 3, m.\nAnswer: -4, -0.7, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*(-40)\/96*3*16\/12.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -231 - -13032310023?\nAnswer: 13032303132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 44919 by -9.\nAnswer: -4991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2. Let o(j) = 10*j**2 - 2. Let l be ((-14)\/6)\/(-7)*3. Let v be l*(1 + 9\/(-3)). Give v*o(q) - 18*u(q).\nAnswer: -2*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 41818.76 centuries in millennia?\nAnswer: 4181.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -84721*r**3 + 6*r**2 - 7*r + 6. Let v be y(-6). What is v rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/(18\/(-8)))\/((-416)\/112944). Does 96 divide x + -4 + -4 + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/7))**(-23)*(b**(-1))**(-40))\/(((b*b**(-1\/4))\/b)**38\/((b\/b**(-6))\/b*b**(-2\/5))) assuming b is positive.\nAnswer: b**(4317\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*i**2*o*z**3 - 2*i**2*o*z + 2*i**2*o + i**2*z**3 - i*o*z**3 + 2*i*o*z - 34*z**2 wrt z.\nAnswer: 24*i**2*o + 6*i**2 - 6*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-16)\/(-24))\/((-2)\/(-18)). What are the prime factors of ((-56)\/24)\/((-2)\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 17, 12334\/13.\nAnswer: 17, 20, 12334\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4542699383399 less than 7?\nAnswer: 4542699383406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -243 - -242. Let t = 0.1 + -0.7. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5011696.\nAnswer: 2, 59, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n - 3*c + 18 = 12*n, 5*c = -4*n + 32. Factor -4*v**2 - 4\/3 - 4\/3*v**n - 4*v.\nAnswer: -4*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 take away -0.739069?\nAnswer: -15.260931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 + -1)*(5 + -184)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -3*r**2 - 717*r + 2916. What is c(-243)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -d**6\/120 - d**5\/20 + 5*d**4\/24 - 35*d**2. Let b be (2 + 4)\/((-12)\/8). Determine r(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 22*f**2 + 14*f - 5. Suppose 3*d + 3 - 24 = 0. Is q(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 196162753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 90591, 90538, 90485, 90432, 90379, 90326?\n\"Answer: -53*b + 90644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1  (b) 2.9  (c) -0.05  (d) -311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 283602*f**4*u**2 + 28*f**2 + 6054*f*u**2 wrt f?\nAnswer: 6806448*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + 2*b. Let q(s) = -82*s - 1. What is -3*j(h) + q(h)?\nAnswer: -3*h**2 - 88*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20706745 is divided by 90819.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 11779065.7 to the nearest ten thousand.\nAnswer: 11780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 5*r - 1)*(-1795*r + 404*r + 28*r) + (-3 + 0 + 4)*(0*r - 2*r**2 + 0*r) as o*r**2 + s + b*r and give o.\nAnswer: 6813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 65, 80, 75, 44?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (455\/156 - 3)*-11. Let a(m) be the third derivative of -d*m**4 + 0*m**3 + 13\/30*m**5 - 11*m**2 + 0*m + 0. What is the second derivative of a(o) wrt o?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 114451 (base 6) to base 8\nAnswer: 23577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f**4 + 10 + 0*f + 3*f + 6*f**4 - 10*f**4 in the form y*f**2 + d*f + t + p*f**4 + u*f**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -143 - -255. Suppose 2*d - 6 = -16, -3*m + c = 4*d. Let u = -27 - -38. What is the greatest common divisor of u and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -112, 3, -368749 in descending order.\nAnswer: 3, -112, -368749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-3 + 6 - 1)) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4209, -4229, -4271, -4347, -4469, -4649, -4899?\nAnswer: -5231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-4) + -1)\/((-29)\/2030). Calculate the greatest common divisor of h and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 5*v = -6*v - 11, 3 = -3*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1353, -2 in increasing order.\nAnswer: -1353, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-4 + 3 + 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 - 7*j - 5. Let u(n) = n**3 - 3*n + 2. Let g be u(2). Suppose -2*a - g = -a. Calculate the remainder when 20 is divided by s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggmzgnghgggsmgggnm. Give prob of sequence gsz.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 17*u - 176556. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 6*h**2 - 3*h - 13. What is d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-k + 0*k + 3*k)*(-13*k**3 - 4 + 4) + 5*k**4 + 7*k**4 - k**4 as z + v*k**4 + p*k + b*k**2 + d*k**3 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 9*a + 121. Let u be y(-13). Suppose 0*b - 3*l = -b + 447, 0 = -u*b + 3*l + 1752. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24.14 + -1.84. Round k to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12000221010 (base 3) to base 6\nAnswer: -2042433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 26*c**3. Let u be s(1). Suppose -6 = 2*l, -n + l = -4*l - u. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q - 7*q + q)*((-201 + 201 - 13*q)*(-2 - 3 + 1) - 4*q + 4*q + q + 5*q + 4 - 4).\nAnswer: -174*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -22771d - 9c?\nAnswer: -2277bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -135?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 192149363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 455754919 to the power of 1\/3, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of x**7\/420 + x**6\/360 + x**3\/3 - 2*x. Let m(s) be the second derivative of q(s). What is the third derivative of m(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-one halves of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 + 0 - (3546 - 3543).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/156 and -101\/286104?\nAnswer: 286104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2 + -909*-2*24\/(-21872) and -8\/3.\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1738500 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63 - 73 - 3032*b**2 + 3034*b**2 - 98*b + 136.\nAnswer: 2*b**2 - 98*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2103 and 15.\nAnswer: 10515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) - -5*(sqrt(153)*-1 - sqrt(153)))\/(sqrt(108)\/sqrt(108)) + (sqrt(68)\/(sqrt(6)\/sqrt(3)))\/(sqrt(2) - (sqrt(2) + -5*(sqrt(50) + sqrt(2)))).\nAnswer: -809*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*t**2*z + 45*t*z**3 + 12*t*z**2 + 22*z**3 - 2*z**2 - 373*z wrt t?\nAnswer: 8*t*z + 45*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (5 - 3 - 4)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3*n = -13 - 14, 152 = 5*c - 2*n. Let f = 75 + c. Calculate the highest common factor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**3 - 2*k**2 - k - 1. Let d be o(-2). Let m be (-18 - -10)*((-378)\/(-8))\/(-7). Let q = m - d. What is the highest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(-105)\/(-252)*10\/(-25)*-18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, k: 1, x: 1, q: 2, i: 2}. Give prob of picking 1 k and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/1740256 and 65\/3332.\nAnswer: 12181792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 8*c - 7. Let p(y) = 2*y - 67*y + 9*y + 48. Let w(v) = -20*n(v) - 3*p(v). Is 14 a factor of w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/8)\/(70\/(-1120)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 547 is divided by 410.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1224\/(-372)*(-6262)\/(-404).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 357 - 134 + f + 6*f**2 - 329 to h*f**2 + u + v*f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 6*v**3 - v**2 + 5. Let c(m) = -11*m**3 + m**2 - 11. Let a be (71\/497)\/(2\/(-70)). Give a*j(w) - 3*c(w).\nAnswer: 3*w**3 + 2*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let r = 2701 - -11757. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 38dad + -14?\nAnswer: 38d99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.08711 - 0.04511. Sort v, -3, 5, 0.3, 1.\nAnswer: -3, v, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.50218kg to tonnes.\nAnswer: 0.07550218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -dd43 (base 16) to base 6\nAnswer: -1114123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - f + 12. Let h(x) = 4*x - 3*x - 2*x + f. What is the tens digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 - 2*s - 1. Let o(i) = -i**3 + 11*i**2 - 8*i - 11. Let l be o(10). Suppose 5*j = -l - 1. Calculate g(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/((-2)\/(-1))*-1*-805*(-79)\/5451.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z = -19*z - 84*z - 1008 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r - 11. Let x be f(4). Suppose -x - 10 = 11*q. Which is the closest to q?  (a) 0.13  (b) -1\/6  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -3*k + 2. Let u be -5 - -1 - (4 - 6). Give v(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -77.39 + 0.39. Let j = v - -77.05. Is -8 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 390206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*j + 7 - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2 + 321263*j - 321262.\nAnswer: -(j - 321262)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*a**3 - 42*a**3 + 74*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 92*i**3 + 1 - 92*i**3 + 20*i**4 - 2*i**2 - 5*i to the form b*i**2 + c + k*i**4 + p*i + t*i**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - -11) + 13\/(390\/(-152))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 37\/2 of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 5*w**2 - 7*w - 7. Suppose -7*k = -0*k + 154. Let q = k - -16. Give f(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 46 - 44. Put h, 1, 0 in descending order.\nAnswer: h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/1492 and 83\/14.\nAnswer: 10444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1329 (base 12) in base 4?\nAnswer: -202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 63337630261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2266908?\nAnswer: 2, 3, 7, 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 656 and 1066?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*f - 18*f + 22*f**2)*(-2 + 6 - 3).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of s**8\/11088 - s**7\/3080 - s**6\/3960 - 11*s**5\/30 + 29*s**2. Let d(f) be the third derivative of h(f). Factor d(y).\nAnswer: 2*(y - 1)*(10*y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-2\/63)*d)\/d)\/d)**(5\/12)\/(d**(11\/2)*d**(-17)) assuming d is positive.\nAnswer: d**(8369\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 1 + 0)*(2*m + m - 5*m + (2*m - m - 2*m)*(2 + 3 - 6) - 4*m + 3*m - m).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 4*w + 6. Suppose -3*k + 8*k = 25. Let g be l(k). Are 10\/11 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -6. Let l(t) = -t + 11. Let z be l(8). Let o(i) = -z*i + i + 4*i + i. Let r(k) = k - 1. What is p*o(v) - 2*r(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1311*y + 1311*y - 125713*y**3.\nAnswer: -125713*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 64 = -4*s, 48 = 3*s - o + 7. Suppose -m - 100 = -26*m. Solve -5*b + 15 + 10 = m*v, v = -3*b + s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 482497252.\nAnswer: 2, 120624313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*m**2 + 35*m**2 - 2*m**2 + 11*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 213 divide 24257528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10.4699 + -275.1249. Let x = -265 - u. What is x rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 14770, 14729, 14690, 14653, 14618?\n\"Answer: o**2 - 44*o + 14813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4628 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2242557.3 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s. Let o(x) = -2. Let p(g) = -g + 1. Let z(v) = -o(v) - 2*p(v). What is -3*q(u) - 2*z(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 485 is divided by -7 - ((-22 - 2) + -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of -41*o**6\/40 - o**5\/60 - o**4\/8 - o**3\/6 + 5*o**2 - o. Calculate the remainder when w(-1) is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 8*o - 3. Give t(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -317*f - 2245 = -12706 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 2.9. Let x = -14219 - -14218. Which is the closest to x?  (a) 1\/2  (b) v  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -2*z**3\/7 + 454*z**2\/7 - 11388*z\/7 - 85104\/7 = 0.\nAnswer: -6, 36, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -821.21 - 1482\nAnswer: -2303.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of -l**4\/12 + 5*l**3\/6 + 2*l**2 - 24. Give z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 2*w**2 - 4*w - 6. Let x be 2\/(-6) - 57\/(-9). Suppose 70 = x*c + 34. Let g(p) = p**2 - p - 1. What is c*g(n) - m(n)?\nAnswer: 4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13)\/(-7))\/(570\/1995) + -14.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -174*v + 30303 = -63*v. Solve -7*s + v = 301 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5808 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-17) + 65\/((-86190)\/(-252))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, 5, -56 in descending order.\nAnswer: 5, 4, 1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3*t + 46. Let i be j(15). Which is the biggest value?  (a) 5  (b) 0  (c) i  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*c - 427 + 259 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 32804 - 70304. What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - 3*b - 3. Let y(u) = -8*u**2 - 2 - 5 - 7*u + 6*u**2. Let a(f) = 7*j(f) - 3*y(f). Let v(o) = 2*o. Give a(v(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 3*j - 1160, -7*b + 5*j = -10*b + 1740. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -57*t + 2*k + 55, 4*t + 581 = -2*k + 587 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**5\/3 + 143952*b**4 - 2159324*b**3\/3 + 1295608*b**2\/3 + 719774*b - 1727464\/3 = 0.\nAnswer: -215933, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/3 - u**2\/3 + 11*u - 21.\nAnswer: -(u - 3)**2*(u + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - 155112?\nAnswer: -155116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 102055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1988184 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of -m**6\/144 + m**5\/16 + 5*m**4\/12 + 5*m**3\/2 - 15*m**2. Let t(o) be the first derivative of i(o). Factor t(s).\nAnswer: -5*(s - 4)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 3*n**5\/80 - 3*n**4\/16 + 3*n**2\/2 + 2*n. What is z in i(z) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24322 - 24042. Calculate the remainder when 1162 is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*n - 39*n + 967 = 147*n + 145 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (3 - (13 + -11)) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n - n - n + 280 + 186*n - 280 - n + 4*n - 5*n - n + n - 2*n + (-6 + 4 + 1)*(-3*n - n + 5*n).\nAnswer: 179*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26435, 105921, 238383, 423821, 662235, 953625, 1297991?\nAnswer: 1695333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s**2 - 27. Let c be y(-6). Let w = c + 101. Solve w*i - 2 = 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -24*h**2 - 148*h - 19. Let o be f(-6). Which is the third biggest value?  (a) o  (b) 1\/2  (c) -74  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 4*q = -19199980, -3*r + 5*q - 3*q - 11520010 = 0. What is r rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1529, -1516, -1491, -1448, -1381?\nAnswer: -1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23333857457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 9 - (0 + 1)) + (24 - 19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.095779581 rounded to 3 decimal places?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3838, -7673, -11506, -15337, -19166, -22993?\n\"Answer: q**2 - 3838*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -637.24886 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + sqrt(363))*-3*2.\nAnswer: -330*sqrt(3) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1850964 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 14 - 42 = -4*a, 5*u - 15 = -a. Suppose 0 = -2*l - 5*i + 45, a = 2*i + 3. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(42) - (sqrt(4200) - (sqrt(4200) - -2*sqrt(4200))))\/sqrt(6).\nAnswer: -105*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 33 - -6578798876\nAnswer: 6578798909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 68024 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1237)\/(-9896) + (-19)\/24.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1963 and 241751?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -20*c + 1. Let o(s) = -64*s + 3. Determine -17*d(n) + 6*o(n).\nAnswer: -44*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34*k - 777*k**5 + 774*k**5 + 106*k + (-3*k**2 - k**2 + 5*k**2)*(4 + 25 + 31)*(0 - 1 - 1)*(1 + 2*k**3 - 1).\nAnswer: -243*k**5 + 72*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*n = 70*n - 954. Let i(j) = -77*j - 74*j - j**2 + n*j - 4. Give i(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15911858552 + 75\nAnswer: 15911858627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -42541 divided by -37\nAnswer: 42541\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4 - ((20 - 24) + (-2 - 1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 9:02 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 8657, 8645, 8631, 8615, 8597?\n\"Answer: -c**2 - 9*c + 8667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/70)\/((-51)\/15 - -3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -368, -372, -378, -386, -396, -408?\n\"Answer: -p**2 - p - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2192 and 13969753?\nAnswer: 223516048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from quadpta. What is prob of picking 1 p and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 84 + -56. Let a(f) = -f**3 + 2*f**2 + f + 1. Let j be a(3). Calculate the remainder when v is divided by (-2)\/(-1) + j + 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.53 less than 87740?\nAnswer: 87740.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 665 and 478896915?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105477.6 - 32520076.\nAnswer: -32414598.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-52)\/(-16) + 6\/(-24) + 2363. Calculate the greatest common divisor of 26 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -87771.0220308 - -87771. Let g = u + 0.022. Round g to 6 decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 22 = r + 5*k, -r = 2*k - 22. Suppose 58 = x + r. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1926 <= 1917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 611062528.\nAnswer: 2, 23, 59, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 239.77 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2424 and 2176.\nAnswer: 659328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 245 + 206?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18107591.\nAnswer: 2699, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((-64)\/(-20) + -3). Calculate the highest common factor of b and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o - 2. Let d(q) = -q + 1. Let g(n) = 7*d(n) + 4*y(n). Suppose 0 = -4*h - 0*h - 20. Let b be g(h). Let f(j) = j**2 + 7*j + 7. Calculate f(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1022\/495 - 95252\/495. Let h = 190 + f. Is h equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140 = -4*u - 0*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 18*c + 10. Solve c - 5 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8 - (-8 - (20 + -19))) + (-68 - -7)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 32\/10 - 3\/45*3. Find the first derivative of y*r**4 + 227 - 455 + 274 wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 16 = 3*q, 0 = -55*q + 59*q + 2*p + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 PM and 8:16 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -284.999787 + 285. Round r to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.8 - 0.7. What is the nearest to -0.05 in -3, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(70) + sqrt(70)*-2)*-2)\/(sqrt(640)*1 - sqrt(360)*2).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(48)\/(sqrt(8)*-3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of -2*k**3\/3 + 75*k**2 - 1408*k + 3326. Factor f(z).\nAnswer: -2*(z - 64)*(z - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -55*s**2 + 45*s. Let i(h) = 57*h + 0*h**2 - 61*h + 5*h**2. Let x(a) = -45*i(a) - 4*k(a). Let n(c) = -c. What is n(x(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Put 1\/268, -0.4, 0 in decreasing order.\nAnswer: 1\/268, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2039*z - 1458. What are the prime factors of d(3)?\nAnswer: 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + 1 - 1)*(-779 - 2*j**2 + 384 + 388).\nAnswer: 2*j**3 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/4)\/((-68)\/32). What is the smallest value in -0.1, 5\/3, s, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 996 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -85 - -9613?\nAnswer: 9539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 56688650, 56688652, 56688654, 56688656, 56688658?\n\"Answer: 2*d + 56688648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 986633, 986628, 986623?\nAnswer: 986618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1130320*r**2 - 1207115*r wrt r.\nAnswer: -2260640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 221 - -160. Let v = a - 381.1. Sort v, 3, 12.\nAnswer: v, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**2 - 19*r**2 + 14*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 775927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 17 - 74)*(-4*t + 3*t - t + (2*t + 2*t - 3*t)*(2 - 1 + 0) - 6*t - 3*t - 2*t) - 3*t + 0*t + 5*t.\nAnswer: 794*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*j**2 - 10*j + 10*j.\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002034205 rounded to 7 dps?\nAnswer: -0.0002034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 86 = -3*h + 2*h, -2*o - 3*h = -24. Suppose 6*t = -0 + o. Solve 2*k - 4*a + t*a = 9, -2*k - 11 = 3*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11.688 - -7.688. Let j = 3 + 5. Let r = 6 - j. What is the nearest to -1 in -1\/5, r, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -6 - (-19 + -19 + 22 + 22)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2))**37 assuming q is positive.\nAnswer: q**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 2*a - 10, 0 = 2*d + 3*d + a - 21. Suppose d = -l + 3. What is the units digit of (-1)\/1 + l - -30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 715910059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -39*a - 1324. Give s(-34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - (-14 - (6 + 6 - 34))) + -6 - 97?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10 + -5c?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*g**5\/7 + 68116*g**4\/7 - 56295376*g**3\/7 - 15891189088*g**2\/7 + 5080874656*g - 1016887872 = 0 for g.\nAnswer: -222, 2\/9, 2, 2002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = 3*w. Suppose 14*c + 15 = 267. Which is smaller: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28487231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*i**3*l*u**3 - 10*i**3*l*u**2 - i**3*l + 11*i**2*l*u**2 + 2*i**2 + 196*i*l*u**3 - 2*i*u**2 wrt u.\nAnswer: -24*i**3*l + 1176*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.106 + 7.306. Let b = w - 7.5. What is the second smallest value in 0, 5, -2\/13, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 90 = 3*c, 15 = 2*f + 4*c - 35. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 351697481 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-1566)*(-121743)\/9018?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -614*o - 432*o + 0*o**2 - 1144*o - 1 + 2 - 2*o**2 as d*o + t + s*o**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 41\/(-4) + 36\/(-48) - (-12)\/(-2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f**3 + 56*f**2 - 76*f + 85. What is n(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 215500 to the nearest 1000.\nAnswer: 216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(304)*-2 + 1 - (sqrt(304)*-1 + 0)) + 2.\nAnswer: -4*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5684843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m**2 + 6765*m + 6*m**2 - 13886*m + 6342*m to the form h + i*m**2 + b*m and give b.\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 331 is divided by 113?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 934.2729 years to centuries.\nAnswer: 9.342729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*l - 890 + 184 + 2*l**3 + 212 as v*l + q*l**3 + j*l**2 + z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 96 - 92. Which is the closest to 15?  (a) -0.1  (b) 0.5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2. Let u(y) be the third derivative of 0*y**3 + 2*y**2 + 0 - 1\/3*y**4 + 0*y. What is o(u(d))?\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of a**5\/60 - a**4\/24 - 2*a**3\/3 - a**2. Calculate q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37 + 28. Let a = d + 11. Is a less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/6035264 and -51\/258416.\nAnswer: 187093184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (2 - -4)) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 6e?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 404174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -2*y + 5, 16 = 2*l + 2*y. Let s = 9 + l. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1496 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 0 + sqrt(2057) + 4 + 2 + ((1*sqrt(170)*-5)\/(-5*sqrt(40)\/sqrt(4)))**2 + -4.\nAnswer: 21 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/2)\/((-11)\/(-77))*(91\/(-2))\/13.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 48c - 1c?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t**3 - 2. Let q be y(2). Let j be 3\/7 - q\/(-42). Solve -4*n + 3*i + 31 = j, 2*n - 14 - 9 = 3*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 23837 to the nearest one hundred.\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -621*t*v + 54480*t - 26*v - 2 wrt v?\nAnswer: -621*t - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20535879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, b: 4, z: 2, k: 2}. What is prob of sequence kbk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*-3*sqrt(153)*-1)\/((sqrt(9) + sqrt(81) - sqrt(9))*3 - (sqrt(9) + 6*sqrt(144))))**2.\nAnswer: 1377\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o + 63. Let z be q(-13). Suppose -4*b - 2*k = -z, -6*k - 16 = -b - 4*k. Solve -3*t - 33 = b*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, 11, -2\/25, -2, -3\/2, 2\/9 in increasing order.\nAnswer: -2, -3\/2, -2\/25, 2\/9, 11, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9.1 and 140.059?\nAnswer: 1274.5369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 + -1)\/((-14)\/(-28)). Suppose 2*k - 5*c + 3 + 1 = 0, 4*k = 5*c + 2. Does 35 divide (m - -11)*70\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (3 - 2)*7 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1664 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1258185 is divided by 209679.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bv when two letters picked without replacement from vbibviillbbbbbiiibb?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {x: 2, b: 11}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5344192)\/1092)\/(-158) + 3\/117?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**5\/11 + 2*h**4\/11 - h**3\/11.\nAnswer: -h**3*(h - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16\/7, -61.12, 4, 43 in decreasing order.\nAnswer: 43, 4, -16\/7, -61.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 990666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 250883989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n + n + 12*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2*(-1509)\/(-24))\/((-2)\/8). Let k = -269 + n. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 1184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 5*a**2 + 5*a**2 - 4*a**2 - 7*a**2. Let n(l) = -26*l. Determine q(n(b)).\nAnswer: -676*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(275) + 0 + (sqrt(11) - sqrt(44)*2).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1  (b) 4  (c) -44.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - 1 + 1)*(7*x**4 + 9*x**4 + 30*x**4 + (2*x - 5*x + 2*x)*(-3*x**3 + 0*x**3 + 4*x**3)).\nAnswer: 90*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.571 + 4603.75.\nAnswer: 4603.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 - 9*a + 9. Let w be l(-10). Let g be -9450 - (0\/(-4))\/(-4)*w. Round g to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -48 + 53. What is the third biggest value in q, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1089 - -834. Which is smaller: 0.07 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43.07 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**29))\/g)**17\/((g**(-1)\/g)\/(g*(g**(3\/32)\/g*g)\/g)) assuming g is positive.\nAnswer: g**(-16253\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/5*m - 4\/5*m**3 + 0 - 8\/5*m**2.\nAnswer: -4*m*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 0.0319, 6, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 60315168.\nAnswer: -301575840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**4\/7 - 108*s**3\/7 + 3510*s**2\/7 - 2704*s - 52728\/7 = 0.\nAnswer: -78, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 175, 180, 185, 190, 195?\n\"Answer: 5*l + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 18 - 15 - 2*a**3 - 1 + 6*a**3 - 4.\nAnswer: 4*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 6*f**2 + 4*f + 7. Let a = 23 + -34. Let q = -4 - a. Let s = 12 - q. Determine d(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3688628*l*r**3 + l*r + 565*r**3 + 2733*r**2 wrt l?\nAnswer: 3688628*r**3 + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17986\/8739 - 5\/1942. Let f = -774\/89 + 35947\/2670. Calculate the common denominator of f and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 497240305?\nAnswer: 5, 199, 499739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3627593?\nAnswer: 1543, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 966 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 326 is divided by 163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 548668?\nAnswer: 2, 73, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -65, -0.12, -11, 20 in descending order.\nAnswer: 20, -0.12, -11, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 14*x + 80. Determine r(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**2 + 2*f + 9. Determine z(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103*g - 149*g + 8 - 8*g**2 + 71*g + 12*g**2.\nAnswer: 4*g**2 - 181*g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 39 + -38.9969. What is u rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 39 + -25. Suppose 0 = 3*i - q - 4. Let g = i - -11. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33236281 a multiple of 491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 150 - 52. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -393 - -393. Factor 0*a**2 - 2\/7*a**3 + k + 2\/7*a.\nAnswer: -2*a*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 265 - 263. What is the closest to 2\/3 in u, -21, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 0.3, 4\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*k = -62*k - 55. Let z(h) be the first derivative of -6*h**4 - 1\/3*h**3 + 3*h - 6 + 8\/3*h**6 + k*h**2 - 4\/5*h**5. Suppose z(g) = 0. What is g?\nAnswer: -3\/4, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 - 8*q - 3. What is s(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 92 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/13?  (a) 3\/2  (b) 2\/3  (c) 0  (d) 4141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*m = 34172 - 31458 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.287 - 1.663. Let m = r - 11.15. What is m rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2789 + 5090?\nAnswer: 7869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - r = 7 + 15, -v - 5*r + 2 = 0. Let g be (-78)\/(-21) + 2\/v. Suppose -4*k + g = -16. Let d(w) = w**3 - 6*w**2 + 3*w + 1. Give d(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 396035, 792069, 1188103, 1584137, 1980171, 2376205?\n\"Answer: 396034*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1414\/229 or -8?\nAnswer: -1414\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, r: 5, n: 5, g: 1}. Give prob of picking 1 n, 2 r, and 1 y.\nAnswer: 40\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/1141 + 76463\/9128. Let m be 2\/(-1695)*8\/2. Let w = 46951\/11865 + m. Calculate the common denominator of w and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -289, -1123, -2501, -4423, -6889, -9899?\nAnswer: -13453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 60466.1 + 3.\nAnswer: 60469.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007983454 to 6 decimal places.\nAnswer: 0.000798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-19 + 24 - 8)\/((3\/2)\/3). Which is the fifth smallest value?  (a) 1\/5  (b) 27  (c) 3\/8  (d) -0.5  (e) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-5))**(-2\/33)*t*(t*t**(-3\/7))\/t*t*t*t*(t\/(t\/(t\/(t\/(t\/((t**9*t*t)\/t*t))*t)*t))*t)\/t assuming t is positive.\nAnswer: t**(-1415\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, l: 7, y: 4, a: 1}. Give prob of sequence lyyo.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17111877 is divided by 4277968?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r - 8. Let h = -22 + 30. Let s be p(h). Factor 0 + 0*u**3 + s*u - 3\/4*u**4 + 3\/4*u**2.\nAnswer: -3*u**2*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10 + -317603?\nAnswer: -317613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 154377611017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 8 = -z. Suppose 3*j = j + 4*p + 18, z*j - 30 = 5*p. Solve 0 = -j*v + 25, -5*d + 0*v + 5*v = 50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 2 = 4*q. Let g be (50\/(-20))\/((-2)\/4). Suppose 2*m + 2*b - 24 = 0, g*m - 5 = -2*b + 49. Calculate the greatest common factor of q and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 48 + -47. Let v = -7 - 0. What is the second biggest value in b, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 460, -86, -2624, -8150, -17660, -32150?\n\"Answer: -166*w**3 + 616*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 102*q**2 - 10171*q - 93. Calculate l(-62).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/9 - 25032208*o - 704937867024672.\nAnswer: -2*(o + 56322468)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/19 and -28\/11.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/(-6)*3 - (-50)\/10. Let x be ((-8)\/(-10))\/(2\/125). Let l = x - n. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 100342800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -0.171?\nAnswer: -0.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of z**6\/120 - z**4\/24 - z**3\/6 + 2*z**2. Let x be i(0). Let h be (12\/30)\/((-2)\/(-5)). Is h <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14350*h**4 + 100534 with respect to h.\nAnswer: 57400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 63 = -6*d. Let l(b) = b**3 - 10*b**2 + 5*b - 11. Does 5 divide l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + be?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 4:28 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from koevoivveno.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.5064 to two decimal places.\nAnswer: -9.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1160 and 14417680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) 0.3  (c) -128\/3  (d) -324  (e) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -84 - -84.0107. What is d rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-5))\/(4\/(-10)). Let k be y*3\/(-54)*-3. Let p = -318 + 319. Sort k, p, -0.2 in increasing order.\nAnswer: k, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2 + 1 + 1 + 0 + (1 - 4 + 4)*(5 + 0 - 3) - 2 + 2 + 1 + 2 + 1 - 4)*(-2*k**5 - 2*k**4 + 2*k**4).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*f + 3*f + 9. Let j(y) = y**2 - 2*y - 2. Let w be j(2). Put w, -4, f in descending order.\nAnswer: f, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*l**3 - 2*l**3 + 0*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 22066780 divided by 5\nAnswer: 4413356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1.1, -1, 1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 847600977, 1695201953, 2542802929?\n\"Answer: 847600976*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - -1 - ((-31 - -11) + 32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -124 in ascending order.\nAnswer: -124, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1350.1 + 1353. Which is the nearest to 13?  (a) 0.5  (b) q  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3555396 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 8 = 0, 8*p + 7 = -3*h + 3*p. Let c be (-1 - h)\/(-4)*4. Solve -c*n - 3 = -3*n - t, -19 = 2*n - 3*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2*d + 81. Let x(a) = a - 27. Let g(n) = -3*q(n) - 8*x(n). Let i be g(-10). Let h(j) = 3*j**2 + j - 17. List the prime factors of h(i).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1108 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7498 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10484, -10482, -10480, -10478, -10476, -10474?\nAnswer: -10472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*f - 6*f + 13*h - 13, -5*f + 47117*h + 21 = 47113*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2135474051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2811 and 27723019?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 587507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 10405, 54 in ascending order.\nAnswer: -3, -2, 54, 10405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -7*f**2 + 4*f + 17. Let s(g) = -9*g**2 + 4*g + 19. Calculate 4*d(z) - 3*s(z).\nAnswer: -z**2 + 4*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, 2\/17035, -5, -0.2 in descending order.\nAnswer: 2, 2\/17035, -0.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -245 - -380. Let l be 2 + ((-4)\/18 - 213\/f). Let t = 1.3 + 1.7. Sort -6, t, l, 0.3.\nAnswer: -6, l, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277 is divided by 180.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -0.3521.\nAnswer: 1.4084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 65 - 66. What is the closest to 2\/9 in u, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 382 divide 719722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 840785835*l**3 - 5*l - 6287648?\nAnswer: 5044715010*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -53 - -57. Suppose 0 = -2*o - 33*d + 31*d + 2, 0 = -2*o - 3*d. Which is the smallest value?  (a) 1\/12  (b) y  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 145 = -55. What is the greatest common divisor of c and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + -18. Let p be v\/(((-7)\/15)\/7). Let r = p - 7. Solve -5*o - b - r = 0, 2*o = -2*b + 7 - 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -368.11 - -363. Let l = -0.11 - x. Let g = -2277 + 2279. Which is the nearest to g?  (a) -0.1  (b) 0.2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -7*i**3 - 6. Suppose 3*g = -2*g + 25. Let x(f) be the third derivative of -f**6\/20 - 5*f**3\/6 - 20*f**2. Calculate g*m(y) - 6*x(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5.96984045 and 702.\nAnswer: 707.96984045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.4 - -6. Let p = -124.93 + 125. What is the biggest value in w, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8055.569 grams to milligrams.\nAnswer: 8055569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 145.88.\nAnswer: 14.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q - 1. Let h be s(9). Let x = h + -13. Calculate the common denominator of (-184)\/36*15\/x and 41.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17525*k*v**2 - 532*k*v - 17586*k + 1108 wrt v.\nAnswer: 35050*k*v - 532*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -1396*r + 1893. Let z(a) = -2806*a + 3786. Let d(q) = 7*l(q) - 3*z(q). What is the derivative of d(t) wrt t?\nAnswer: -1354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3476 - 53*q**3 + 55*q**3 - 3527.\nAnswer: 2*q**3 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 7 + (2*36\/8 - (-105502)\/(-3944)).\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13399, -13403, -13409, -13417, -13427?\nAnswer: -13439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/(-44))\/((-5)\/110*2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 35 + 2606616?\nAnswer: 2606654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 24542, -1, -5, -19 in ascending order.\nAnswer: -19, -6, -5, -1, 24542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 + -19. Put -5, -3, y in descending order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2774.45 and 0.04.\nAnswer: -110.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1, -1, 0.3, 2\/29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-25)\/3 - 2\/(-6). Let f = 26 + y. Solve -h - f = -p + 3*h, 0 = -3*p + h - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cssccoscsccscvsjj. What is prob of sequence ocj?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2345823 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: Is 474619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u - 1. Let n(i) be the third derivative of i**4\/8 + 3*i**3 - 2*i**2 - 25. Let o be n(-5). Let v(d) = 2*d - 2. What is o*c(k) - v(k)?\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58304 divided by -157.\nAnswer: -58304\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3*y + 25 = -7*y, 22 = -2*s - 4*y. What is the least common multiple of (-1 + s\/(-9))*-3 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 8285.568 milligrams?\nAnswer: 8.285568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -513 + 9745\/19. Let j = -0.3 - -1.1. Let p = -4.8 + j. Which is the second smallest value?  (a) f  (b) p  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -19, -68, -141, -232, -335, -444, -553?\n\"Answer: p**3 - 18*p**2 - 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -971 (base 10) in base 15?\nAnswer: -44b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -w**7\/168 + 2*w**6\/15 - 37*w**5\/80 - 19*w**4\/24 + 41*w**3\/6 - 13*w**2 + 3*w - 764. Let n(k) = 0. What is k?\nAnswer: -2, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6709219969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 33*l + 34*l + 5.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 231, 35, 2 in ascending order.\nAnswer: 1, 2, 35, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -5*y + 94, -2*y - 85 = -7*y - 5*b. Suppose g - 11 + 2 = 0. Solve -y = -g*s + 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d - 9. Let j(h) = -h - 1. What is 2*c(s) - 18*j(s)?\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**2 + 3*g**2 - g**2 + (-5*g**2 + 2*g**2 + g**2)*(-2 + 1 + 4).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -185 + -0.1.\nAnswer: -185.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*k**3 + 24*k + 0*k**3 - 2 - 51*k + 27*k - 5*k**2 to the form z*k**3 + c*k + g + y*k**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8108323551?\nAnswer: 3, 89, 10122751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5*n + 110821 = 3*u, 4*u = -4*n + 147724. Let g(a) = -2*a**2 + 36943*a - 6 + 3 - u*a + 3. Let b(h) = 3*h - 5*h + 4*h. Determine b(g(s)).\nAnswer: -4*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q - 3*q + 0*q)*(-5*q + q + 5*q + (6*q - 3*q - 2*q)*(-2 - 2 + 2) + 3*q + 0*q + 3*q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 133 (base 6) to base 16.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1028 and 771.\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 31*s + 1187. What is f(-39)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35 + -20. What is the units digit of (4 + -2)*b\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/506 and 43\/966.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 25 = -5*a. Suppose 5*r + 2 = -3*i, -5*r - 24*i + 14 = -25*i. Sort 3, r, a in descending order.\nAnswer: a, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.8539265 to 3 dps.\nAnswer: 1.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 843 - 308 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.25 * 0.4.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -3*x**2 - 5366*x - 1267272. Determine i(-280).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -229\/54 - -43\/54. Find the common denominator of x and 3*(-3)\/(-81)*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12292*c - 12316*c + 456 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 67313 + -47700. Calculate the greatest common divisor of h and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1766762007 to 5 decimal places.\nAnswer: 0.17668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 7 = -4*c + 9, c = j + 4. Suppose 84 + 324 = c*s. Calculate the greatest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -12659017, -25318040, -37977063, -50636086, -63295109?\n\"Answer: -12659023*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2125048)\/1605688 + 9\/7.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 98 - 2. Calculate the highest common factor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 22 + 2449*i**2 + 35 + 2445*i**2 - 4896*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 106752020 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 p = 67030 - 67036. Let k = 17\/40 - 5\/8. What is the third smallest value in 2, p, k, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 - 4*l - 3. Let p(w) = -24*w**2 + 312*w - 2268. Let d(n) = -20*b(n) + p(n). Factor d(f).\nAnswer: -4*(f - 92)*(f - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-1)\/(-1))\/(-5))\/((-28)\/(-25480)*-14)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 less than -32406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 96833576507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -8. Let s = 25158 - -814842. Suppose o*r - r = -s. What is r rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -474, -943, -1412?\nAnswer: -1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from btttbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/6070 and -79\/30350.\nAnswer: 30350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 3*u = 118, 5*u + 42 + 22 = 3*b. Let y = -18 - b. Let g = y + 145. What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11643 divided by -17.\nAnswer: -11643\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from fyfyyfffffy?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, r: 1, e: 3, a: 1, w: 1}. Give prob of sequence rwn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 509536*c**3*y**2 + 10*c**2*y**2 + 9309160*y**2 wrt c.\nAnswer: 1528608*c**2*y**2 + 20*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1326?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 73 - 351\/468*(-3)\/((-18)\/32). Solve 93*x + 96 = z*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of k**4\/4 - 2*k**3\/3 + 16*k. What is the remainder when 7 is divided by z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -5*w + 73. Calculate the common denominator of -43\/6 and (w\/(-12))\/1 + (-16)\/96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 26 + -26.3. Let i(z) = z**3 - 9*z**2 + 8*z - 5. Let q be i(8). What is the closest to 0.1 in m, 3, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (168 - 207*c - 168)*(0*c + 0*c + c**3).\nAnswer: -207*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 9*t - 2*t**2 - 2*t**2 - 29*t + 38*t - 400 + 62*t = 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4196844?\nAnswer: 2, 3, 116579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t, 3*t + 2*t = 5*x + 30. Let f be 2\/x + 138\/9. What is the greatest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 806 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31 + 100. Suppose 0 = 4*x - 2*x + 2*x - 56. What is the remainder when r is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmgoomohmhmmoymo. Give prob of picking 1 h and 1 m.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 715.27 rounded to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 8. Let c be (-36)\/21*f\/2. Is c less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8471 is divided by 422?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -958 + 960. What is the remainder when b is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 14 = -i. Let t be ((-1120)\/1600)\/((-1)\/20). Sort i, -2, t in ascending order.\nAnswer: i, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by -86?\nAnswer: -8\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.016?  (a) 0.2  (b) 0.9  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 + 1 + 4)*(-1 + 1 - 1) - 1 + 0 + 2)*(-4*n + 2*n + 0*n + 2) in the form u*n + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -10 - 2. Suppose 8 = 3*d - s, -5*d + 0*s + n*s = -4. Calculate the highest common factor of 32 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5523088723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*c = 21*c + 12. Let t be c\/(-18) + (-17335)\/(-45). Calculate the greatest common factor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(300) - (sqrt(300)*4 + sqrt(300)))\/sqrt(12) - sqrt(25)))\/(4*(sqrt(605) - -4*sqrt(605))).\nAnswer: sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20 - -23) + 15 + -25.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5*u = -33, -u - 20 = -5*u. Let z(n) be the third derivative of -1\/120*n**6 + 14*n**2 + 1\/4*n**4 + 0 + 1\/6*n**3 - 1\/30*n**5 + 0*n. What is z(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of p**6\/40 - p**4\/12 - p**2. Let c be f(2). Let k = -3 - -13. Calculate the highest common divisor of k and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/19127 or 2668?\nAnswer: 2668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 244046 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -14 + 7 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/30)\/(6\/(-40))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.059 - 5.059. What is the nearest to 2\/11 in -0.2, s, -5\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6658960 or 6658961?\nAnswer: 6658961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 207 + -213 - (-2 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1967495 is divided by 422.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 3*s - 40 + 20 = 0, -4*s + 43 = 5*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 75409.36 years?\nAnswer: 754.0936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -2. Let n = 14 - 71. Is (-16)\/(-6)*n\/c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 - 3*s**2 - 2*s**2)*(-2*s**3 + 3*s**3 - 3*s**3) + 3*s**5 - 3*s**5 + 2*s**5.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 31 = -5*o. Suppose 0 = -0*k - o*k - 5. Which is smaller: -1\/23 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -114a576 (base 12) to base 16\nAnswer: -32e6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 3*s - 597, m - 204 + 14 = 4*s. Suppose -4*h + m - 38 = 0. Suppose -5*r + 8 = -z + h, 3*z - 3*r = 51. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2322715 smaller than -2322717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18187 or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 7)*(-x + 3 - 3) - 4*x + 3 - 3 + (-45 - 98 + 49 + (1 + 1 - 3)*(-5 + 0 + 3))*(-3 + 2*x + 3).\nAnswer: -179*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -120 divided by 120?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14802110*k*y - 8196218*y wrt k.\nAnswer: 14802110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -243 + 129 + 41 + 45*k wrt k.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 463897, 927850, 1391807, 1855768, 2319733, 2783702, 3247675?\nAnswer: 3711652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 6033?\nAnswer: 6035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 4*p - 11, -2*w + 16 = 106*p - 101*p. Factor 3*j - 18 - 1\/8*j**p.\nAnswer: -(j - 12)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 1 - (-2 + 0)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*r = -186 + 143 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3*(-1)\/(-42))\/((-2)\/16).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + m)*(3 - m - 3) - m**2 + m**2 - 2*m**2 + (-16 - 14 - 2)*(-4*m**2 + 2*m**2 + m**2).\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -7. Suppose 0 = -5*x + 5*n + 315, i*x - 168 = 5*n + 25. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**5\/4 - 417*j**4\/4 + 2567*j**3 + 94567*j**2 + 344628*j - 1086400 = 0.\nAnswer: -16, -7, 2, 50, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37718162.\nAnswer: 2, 2273, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28 - -29.71. Let y = -1.7277 + a. What is y rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1026057210?\nAnswer: 2, 3, 5, 53, 61, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -13) + (366\/61 - -3)*295\/(-45)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c - c - 48 = 0. Let x be (11\/((-99)\/6))\/((-4)\/c). Let n be 0 - (-10 + 3 + x). Solve -q + 20 = -n*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 332919371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2394 and 798?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*r + 1198 = 1198 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 73, 156, 235, 310, 381?\n\"Answer: -2*q**2 + 89*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of 1\/6*p**4 - 4*p**2 + 0*p + 0 + 1\/3*p**3. Is f(6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - x. Let r(m) = m**3 + 7*m**2 + 3*m + 9. Let s(p) = -n(p) - r(p). Determine s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/4  (b) -2  (c) -140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -5. Suppose -15 - 5 = -5*w + 4*k, -l*k = -5*w + 25. Solve -2*h + 6*h = -2*r - 8, -h - w = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 20 = 3*g. Let a be -2 + 2*g\/4. What is the third derivative of -2*o**2 + o**2 - o**6 - o**2 + a*o**2 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -89*j + 698. Determine y(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 420 - 265. Suppose -65 - z = -2*w. Round w to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of -s**4\/4 + s**3\/3 - 1. Let j(p) = -3*p**3 - 15*p + 8*p + 3 + p**2 + 2*p. Let r(k) = 4*c(k) - j(k). Give r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(88)*-4 + sqrt(88))\/(-4*sqrt(8)*1).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -162644 minus -3?\nAnswer: -162641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 21559915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-6))\/(-4 - 45\/(-10)) - 19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16\/32 - 3\/(-6). Which is the smallest value?  (a) 4\/3  (b) -16  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 16, z: 2}. Give prob of picking 2 c.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 8, q: 2, n: 8}. What is prob of sequence yqyy?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -74 - -1 - (1616 - 1642).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -143130, -572816, -1288958, -2291556, -3580610, -5156120, -7018086?\n\"Answer: -143228*v**2 - 2*v + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*k + 11*k - 13*k)*(-4 + 2 + 1)*(-1 - 18 - 22)*(2 - 2 + 1)*((4 - 2 - 4)*(1 + 1 + 0) + 1 - 1 + 3) to the form i*k + a and give i.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 (base 7) in base 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 2*f - 10*f + 0.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cql when three letters picked without replacement from {l: 1, c: 2, q: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 257136.3 litres to millilitres.\nAnswer: 257136300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 102423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z - 10. Let a be s(-6). Let j be (9\/6)\/((-3)\/a). Solve -2*k = j*k, 3*k = -3*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 0*n + 0*n + n. Determine p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 8. Let x = 436 - 438. Put 4, c, 2, x in descending order.\nAnswer: 4, 2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -5.5. Let h = -6\/11 - -7\/33. What is the third biggest value in -0.2, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2 + 48*i - 50.\nAnswer: 2*(i - 1)*(i + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 + 13*q - 43. Calculate a(-20).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10 + 200b?\nAnswer: 1ddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 86832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*i**2 - i**3 - 6*i**2 - 3*i**2)*(-i - 5 - 1 + 4) to the form c*i**3 + z*i + y*i**2 + r*i**4 + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 2*w = 0. Let q = 24 - 25. Let n = w + q. Which is the closest to n?  (a) -6\/11  (b) -3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k. Let g(z) be the second derivative of 0 + 0*z**2 + 2*z - 1\/6*z**3. What is g(l(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 - x**2 + x**2)*(5314*x**3 + 3964*x**3 + 839*x**3 + (1 - 2 + 0)*(0*x + x**3 + 0*x)).\nAnswer: -20232*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2*c - 4*b, -3*c + 5*c + 2*b = 18. Let n = 12 - c. Let j = -42 + 127\/3. Sort n, j, 0.5.\nAnswer: j, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sxzxkbzspxbsbbbpxsbb. Give prob of picking 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12324*k**2 - 4106*k**2 - 4103*k**2 + 33*k - 33*k - 4107*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 11345 (base 8) to base 9\nAnswer: 6564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25321 - 144*h + 24889 + 156*h**2 - 27*h**5 + 52*h**3 + 23*h**5 - 12*h**4 = 0 for h.\nAnswer: -3, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 AM and 4:16 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13412 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -93 + 96 - (1\/(-2)*(-60 + 6) + 1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 2*u**2 - u - 2. Suppose -2*m + 5*m + 9 = 0. Let b be 5*(2 + m) - -2. List the prime factors of q(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1487, -1591, -1769, -2021, -2347, -2747?\nAnswer: -3221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - 30103123003121?\nAnswer: -30103123003120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 13, g: 6}. What is prob of picking 1 m and 3 g?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 18654391043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 4*b + 2. Let u(j) = 17*j**3 + 2*j**2 - j - 1. Is u(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -116019.708 - -3\nAnswer: -116016.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2936875672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 + -1 + 0 + (18 - (4 + 19)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.506 + 0.66. Let b = -1.17191 + u. What is b rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -65575 divided by 13115\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 12*h**2 + 27*h - 8. Let s be d(-14). Let t(l) be the first derivative of -l**4\/4 + 7*l**3\/3 - 7*l**2\/2 + 2*l + 2. What is t(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 365 = -37*l + 1623. Let y be 14\/5 + (-1)\/(-5). Find n, given that 5*n**4 + l*n**2 - 9*n**y - 14*n**2 - 11*n**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 11. What is the nearest to c in -2, 0.1, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/15 of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -274\/19 + 49214\/3439. Let z = 18119\/1810 + b. Find the common denominator of z and (1\/4)\/(99\/1892).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -6.7. Let d = -6\/349 - -752\/3141. Put 1, j, d in descending order.\nAnswer: 1, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 10:48 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - z - 12, 3*r + 5*z + 24 = 0. Calculate the remainder when 84 is divided by 12\/r*-8 + -3.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 673*b**2 + 12*b - 11. Is l(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24 - -27. What is the second biggest value in -0.5, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/369001 or 0.1?\nAnswer: 2\/369001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4150 - -2367. Let o = z - -1808. Suppose 2*f = 7*f - 165. What is the remainder when f is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 - 8*p - 1. Let g be b(-7). Let d(v) = v + 9. Is 15 a factor of d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1141100 (base 6) in base 5?\nAnswer: 3403433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - g = 27254, -2*s + 23458 = 2*g - 31030. 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 fth term of -177, -391, -629, -897, -1201, -1547, -1941?\n\"Answer: -f**3 - 6*f**2 - 189*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 l when four letters picked without replacement from qcpllllcqlzzpqclq?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 238752 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n + 1. Let b be o(3). Let w = -4 + b. Suppose 4*x - 4 - 38 = c, 3*c + 6 = w. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1243002 (base 5) to base 8.\nAnswer: 60260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -44*y**3 + 1856*y**2 - 2140*y + 328 = 0.\nAnswer: 2\/11, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25)\/(sqrt(5) + (sqrt(5) - (sqrt(20) - sqrt(320)))) + ((2*sqrt(440))\/sqrt(8))\/sqrt(11))**2.\nAnswer: 1445\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2. Let y(p) be the first derivative of -p**4\/8 - 3*p**2 + 6. Let u(m) be the second derivative of y(m). What is u(d(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -97.283 - -97.483. Let t = -0.1 - 0.6. Which is the biggest value?  (a) f  (b) t  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -25*b**3 - 4*b**2 - b + 2. Let v be c(-2). Let o be v\/14 - 8\/(-14). What is the remainder when 34 is divided by o - ((-12)\/(-4) - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(1573)*2 + sqrt(1573)) + sqrt(1573) - ((sqrt(1573) - sqrt(1573)*2)*2 - sqrt(1573)) - -2*-1*(-1 + sqrt(1573) - sqrt(1573))) + -1)**2.\nAnswer: 484*sqrt(13) + 761333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -17*s - 41. Let z(w) = -17*w - 43. Let h(n) = 4*j(n) - 3*z(n). Let c be h(-2). Let f be (-3)\/14*(-3)\/9. Which is smaller: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 735 and 58653.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 108*o**2 + 9*o. What is the smallest common multiple of n(-1) and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 5:04 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.97 + -101.03. Let m = -104.999456 - o. Round m to 5 decimal places.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -20736115388 and -0.0355.\nAnswer: -20736115388.0355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 30*a + 1442. Let p be k(-48). Let -2\/3*o**p + 0*o + 8\/3 = 0. What is o?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -7 - 62\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -10*f**3 + 2*f**2 - 1. Let y be d(-2). Suppose -5*x - 32 = -y. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fha when three letters picked without replacement from {f: 1, n: 2, k: 3, u: 1, h: 4, a: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -4*z + 3*i - 2109746, 3*i = z + 527439. Let p = -941436 - z. What is p rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wltwlllltwtt. Give prob of picking 3 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c + 68 + 202. Let u(r) = 10*r + 12. Let h be u(-7). Let z = c - h. What is the remainder when 25 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 532 + -530. Let u(w) be the first derivative of -4\/5*w**5 + 0*w**p - 4*w + 0*w**3 + 2 + 0*w**4. Differentiate u(i) with respect to i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q + 2. Let d be s(0). Suppose 5*a = k + 12, -2*a - 4 = 3*k - 2. Let l(h) = -d*h + a - 2. Let w(x) = x. Determine w(l(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(12\/40*-1). Let p be (-22)\/(-55) - 46\/l. What is the second derivative of p*w**2 - 84 + 84 + 2*w wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*o + 11867 + 7447 = -6*o. Does 29 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s + 2*s - 6*s + 2*s. Let g(r) = -3*r + r + 4*r. What is f(g(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9586 divided by 767?\nAnswer: 9586\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -21*4\/(-6) + -2. Let i = n - 60. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1119 (base 12) to base 15.\nAnswer: -863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11001001 (base 2) to base 6.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 8 = 4*s. Suppose 5*a = k - 61, -3*a - 5 = -s*a. 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: What is -2842 divided by -29?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of -k**4\/4 + k**3 - 3*k**2\/2 - 4*k - 1. Let y be r(3). Let o = y - -21. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/15  (b) 5  (c) 0.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -540 - -1174. Suppose 0 = -3*u - 37 + s. Suppose 2*n - u = -4*k + 87, 0 = 4*n - k - 527. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8956 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-5)\/(-15)*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-6*(4*sqrt(117)*-2 - sqrt(117)))**2)*-1*-2.\nAnswer: 682334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 102 = -21*u, -4*q + 102032 - 102054 = -2*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3369231 - 1684616 - c**2 + 2*c**2 - 1684615.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -6*y**2 + 6*y - 2. Let u(s) = 5*s**2 + s + 3. Let j(l) = 2*d(l) + 2*u(l). Give j(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 - -19. What is the closest to h in -1\/2, -5, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c - 4. Let d be n(-4). Suppose -a + 2 = -d*a. Which is bigger: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 20 = 3*d. Solve 3*a - d - 3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -66 + 66 - 3*j**4 + (-2*j - 2 + 2)*(2 + j**3 - 2).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 111208, 889697, 3002732, 7117585, 13901528, 24021833, 38145772?\n\"Answer: 111212*x**3 + x**2 + 2*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -444*g*l - 21*g*m**2 + 20*g*m - 7*l**4 + 977*l**2*m**2 + 44852 wrt l.\nAnswer: -444*g - 28*l**3 + 1954*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 - 81 = 9*h - 258. Let t = 29 - -13. Calculate the highest common factor of t and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -187089, -374171, -561255, -748341, -935429?\nAnswer: -1122519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.21 times -4226\nAnswer: -887.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125484 is divided by 31371.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 35*j**5 - 215*j**4 - 42915*j**3 + 709915*j**2 - 761200*j + 94380 = 0.\nAnswer: -39, 1\/7, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3\/4 + 5742621*g**2\/4 - 687034614456*g - 687036050112.\nAnswer: -3*(g - 957104)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*r**3 + 380*r**3 + 377*r**3.\nAnswer: 821*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/22877427 and -71\/708.\nAnswer: 91509708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3316 - 2153. List the prime factors of v.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 262713, 262712, 262711, 262710, 262709?\n\"Answer: -c + 262714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 27*c - 75*c**3 - 27*c + 2*c**3 - 2*c**3 + 2*c**3 + (0*c + 0*c - c)*(-c - c**2 + c) + 4*c**3 - 3*c**3 + c**3 + 4 - 2*c**3 - 4.\nAnswer: -72*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 384\/1408*(-308)\/(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 9*a**2 - a + 98. Give f(-9).\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0352023 rounded to four dps?\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-24))\/(30\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 2*f - 78, 0 = 5*o - 2*f - f - 383. Suppose 3*g = -2*b - 77, -13*g = b - 12*g + 36. Let h = b + o. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 10:27 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 + 16 - 8)*(v + 0 + 0) + 0*v - v - v + 1 - 1 + v + (-1 + 1 + 2)*(-v + 0*v + 2*v) to g + p*v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -0.5, -28, 3\/28, -2.6.\nAnswer: -28, -2.6, -0.5, -1\/5, 3\/28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let i be 13 + (32\/4 - 3). Suppose 2*d = -6, 3*x - i*d + 14*d - 24 = 0. Solve 0 = 4*v - 3*g - 4, g - x = -0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 - (-5 + -3) - -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 1 - 2) + -3 + 4 + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3*t**2 + 99*t - 756. Let j be k(12). Let h(i) = i**3 + 5 - i**3 - i**3. Determine h(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 670 - 663. Suppose 10*s + 5*j - 7 = g*s, 4*s + 3*j - 2 = 0. Which is bigger: -3\/179 or s?\nAnswer: -3\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2640.37135 to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**2)**(-29)*(s**(14\/5))**(-11\/2))**(-1\/17) assuming s is positive.\nAnswer: s**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -8\/21, -0.1, 3, -1\/4, 156?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2. Let p(r) = 10 - 10 + 6*r - r. Determine c(p(u)).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*p + 36 = 0, 4*j - j - 2*p - 15 = 0. Let v(r) = 1268 - r - 2543 + 1281. Calculate v(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 519, 2827, 6933, 12837?\n\"Answer: 899*y**2 - 389*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**3 + 68*a**2 + 424*a + 352 = 0. Calculate a.\nAnswer: -4, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41\/24 + -11\/8. Sort b, 0, -0.1 in increasing order.\nAnswer: -0.1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*k = 14*k - 48. Let p = -18 + 46. Suppose 0 = -0*d - 2*d - p. Sort k, -1, d.\nAnswer: d, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-204)\/(-18) - 10)\/((-11)\/3)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2456*r - 2309*r + 7214*r - 2452*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 3 - 1. Let f(m) = -6*m**2 + 3*m**3 - 2*m**3 + 5 + 2 - x*m. Let b be f(7). What is the greatest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 138) + (-97 - -256).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -4  (b) -13  (c) -2  (d) 3  (e) 0.011  (f) -452\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 5*w**2. Let h(r) = -163181*r. Give t(h(a)).\nAnswer: 133140193805*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + -14. Let x(z) = 4*z - 2. Let t(q) = 2*q**2 + 25*q - 29. Let m(j) = t(j) - 6*x(j). What is the units digit of m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of 2\/3*d**2 - 10\/9*d**3 - 7\/6*d**4 + 0*d - 2. Let f(k) = 0. What is k?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3*p = -20. Suppose 4*h - 2*n + 3 = -n, -h + p*n - 12 = 0. Suppose -4*g = 5*x - 19, 7 = 3*x - 4*g + 2*g. Solve h = -x*r - 7 - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - 2*s + 1. Let a be u(-2). Let c be -1 + a - -2 - -1. Solve -b - c*t + 19 = 0, t + 3*t = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 2*v - 16 = -0*v, 0 = 3*v + 6. Suppose -4*u - 4 = 2*r, 4*r + y*u - 5 = -r. Suppose -1841 = -3*c - r*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 710115.3 nanometers to meters.\nAnswer: 0.0007101153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -843*h - 5930. Give x(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 5*k + 1 = -84, 19*k - 77 = a + 15*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 36, 0, 0.4, 0.3, 1\/432?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 185394 and 252?\nAnswer: 7786548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i**2 + 8*i + 3. Let w be c(-5). Let m = -11 - -39. Suppose m - w = g. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 + 10*q + 29. List the prime factors of x(24).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - -171b7b?\nAnswer: 171b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 9*(((-133)\/168)\/19)\/((-2)\/(-6))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 116*r**2 + 3714*r + 58. Determine s(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.8 in -3, -138\/19, -2, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 721886 divided by -4598?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 494221 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v**2 - 692 + 692.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*d - 1939 + 1950 = 5*y, 5 = 5*d + 2*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 42991549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*27 + 19\/(-19). Suppose 0 = -23*i + n*i - 78. What is the remainder when 76 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.6792272 to 3 dps.\nAnswer: 9.679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -51+40\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 3 = 5*n - 5, 0 = o - 4*n - 23. Let x(z) = 3*z**2 - 1. Let f = 16 - -32. Let u be (-9)\/6*f\/36. Let h(t) = 9*t**2 - 3. What is o*x(m) + u*h(m)?\nAnswer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -0.11?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*m + m + 6*m)*(-162228 - 556*m + 162228) + (-1 + 1 + 1)*(m**2 - 4*m**2 + 2*m**2) to the form i*m + y + o*m**2 and give o.\nAnswer: -1669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**27*t\/t**(-4\/17)*(t*t\/t**(-48))\/t*t**(10\/11) assuming t is positive.\nAnswer: t**(14613\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of -q**8\/168 + 32*q**7\/525 - 77*q**6\/300 + 43*q**5\/75 - 11*q**4\/15 + 8*q**3\/15 - 16*q**2. What is k in d(k) = 0?\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10920587*c**2 + 4*c - 78263 wrt c?\nAnswer: -21841174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -60 + 70 - (0 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11521, -11516, -11507, -11494, -11477, -11456, -11431?\nAnswer: -11402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z + 11*z - 2*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 5.56 times -5\nAnswer: -27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73830859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 1101000100010111000011?\nAnswer: -1101000100010111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7245 (base 8) to base 6.\nAnswer: -25205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 90?  (a) -5  (b) -4  (c) -0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 4843*j - 9376*j + 4539*j.\nAnswer: 6*j - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -107 * -0.1.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-386 + 386 - 73*u**2)*(-2 + 2 + 1)*((-1 - 29 + 13)*(-2*u + 0*u + 4*u) + u - 3*u - 2*u).\nAnswer: 2774*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 66\/(-88) - 27\/(-4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r**2 - 2*r + 5. Let f(k) = -k**2 + k + 2. Let t be f(-4). Let g be (-12)\/(-54) - 86\/t. Is h(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 160 + -163. Let b be 4 - 1 - (2 - 0). Let q = 6 - b. What is the closest to -1 in -1\/9, q, k?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31062855*k**2 - 6822075*k**2 + 7662897*k**2.\nAnswer: -30222033*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:47 PM and 1:46 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-80 - (-49 - -8)) + 38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*o + 57*o + j = 13, 2*o - 4*j + 76 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 179 divide 9880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 203*m**2. Let t(h) = 3*h**2 - 5. Let p(r) be the third derivative of r**5\/60 - r**3\/6 - 113*r**2. Let c(s) = -5*p(s) + t(s). What is c(d(w))?\nAnswer: -82418*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 265499 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24 by 15916818.\nAnswer: -4\/2652803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/21)\/(1\/(-7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 3 = 5*t. Factor 0 + 1\/2*l**2 + 0*l - 1\/2*l**t.\nAnswer: -l**2*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 175\/21 - 4\/(-6). Let f(n) = n**2 - 9*n - 3. Let v be f(g). Let j(s) = -s + 2. Is 5 a factor of j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-5838)\/100219)\/(2*3))\/(((-12)\/8)\/3)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-135)\/(-162)*-24 - 28\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -76 - -81. Let u be (f + -17)\/(2 + (-1)\/2). Is u less than or equal to -42\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4*(2 + (-55)\/20). Let i be (-2)\/(-6) - f*4\/(-18). Let r be i\/2 - (-15)\/6. Calculate the highest common factor of 9 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -f**3\/2 + 279*f**2\/2 - 9431*f\/2 - 30831\/2 = 0.\nAnswer: -3, 43, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 5*n - 44. Let i = n + -11. Which is the nearest to i?  (a) 2\/11  (b) 3  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 3*c - 50 = 5*x, -c - 48 + 8 = 3*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {n: 5, z: 2, j: 2, c: 1, g: 2, p: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1014\/8 - (-2)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 469 is divided by 235.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 10110101000011001010001000011?\nAnswer: -10110101000011001010000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -q - 7081, -9*q + 12*q = -3. Let l be (z\/595)\/(-6) - -2. Is l <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i. Let x(g) be the third derivative of 0*g**3 + 1\/30*g**5 - g**2 + 0*g + 0*g**4 + 0. Give o(x(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {r: 7, s: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 34 + 42 - 12*o + 15*o - 76 + 289*o**3 + 4*o**2 as c*o**3 + u*o + s*o**2 + v and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange o**4 - 1136*o**2 + 2*o**4 + 1131*o**2 - 3 - 2*o**3 to the form y*o**3 + j*o**4 + n*o + c*o**2 + t and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**2 + 72326*j + 1307762569 = 0. What is j?\nAnswer: -36163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8116257 and 3?\nAnswer: 24348771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -96, -113, -128, -141, -152?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.83605ml in litres?\nAnswer: 0.02383605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 12303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-1*4 - 2). Let c be 4*(10\/12)\/(-5). What is the closest to c in -3, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -365 by -197898.\nAnswer: 365\/197898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 218249*(108\/12 - 7)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31 + -45. Let s = 30 + -13. Let g = s + l. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54263086\/50439 - -24744\/23. What is the common denominator of 47\/51 and m?\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 656012823.\nAnswer: 3, 9787, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -104115.274 to the nearest ten.\nAnswer: -104120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 5*x = 0, 5*t - 4*x - 4 = 2*t. Let k = 12 - 8. Sort -2, t, k in descending order.\nAnswer: k, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*w + 65 + 268 = -470. Let x(n) = n**3 - 9*n**2 - 16*n + 14. Determine x(w).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4078 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-3))\/(-12)*(-2)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-47)\/v*v\/(v\/(v\/(v**(2\/21)*v))))**38)**(-25\/3) assuming v is positive.\nAnswer: v**(939550\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 59712 and 10151040.\nAnswer: 10151040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 960 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 - 8*i**2 + 6*i. Suppose -8*g = -7*g - 35. Suppose 15*b = 10*b + g. Give c(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 5:11 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + (-4)\/(-6))\/(-2). Suppose 4*s - 4*f = 0, 2 = 4*s + f + 22. Let l be (-5)\/(-1 - s - 2). Which is the nearest to -1?  (a) 4  (b) j  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = s, 23*j = 20*j - 4*s. Sort 4, -2, j, 3 in decreasing order.\nAnswer: 4, 3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59295272 divided by 4.\nAnswer: -14823818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*l + 40*l + 9*l in the form p*l + v and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 10:35 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4843 + 22348 = -378*w - 9333 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1\/3, -0.1, 0.4, -3\/346813 in descending order.\nAnswer: 0.4, 1\/3, -3\/346813, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -304?  (a) 1\/5  (b) 4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/1729 and 83\/28.\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 - -20. Let q = -27 + a. Suppose -q*t + 10 = -6*t. Solve -z + y = 9, -6 + 4 = t*z + 2*y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrrrrrqrqrxrqrr. Give prob of picking 1 x and 3 q.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(0 + ((sqrt(200)\/sqrt(5))\/sqrt(8))**2 + -4 + 3*(-3*(sqrt(605) - -1*sqrt(605))**2 - sqrt(605))).\nAnswer: -43558 - 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**3 - w**2 + w**2)*(199*w + 3567*w**2 - 592*w + 203*w + 190*w + 720*w**2).\nAnswer: 4287*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {n: 4, r: 12, k: 4}?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 3518*i**2 + 14083*i + 37. Calculate m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i. Let h(c) = -12*c**2 - 10*c**2 - 11*c**2 + 29*c**2. What is d(h(x))?\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/125481 and 43\/831?\nAnswer: 125481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 24\/11, -5, 3\/4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(3\/2)\/g**5*(g**(-1))**(-1\/5)*g*g**2*(g**(-1\/5)*g*g)\/g*(g**(-2\/5))**(2\/11) assuming g is positive.\nAnswer: g**(47\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 2*i**4\/9 - 12974*i**3\/9 + 1012444*i**2 - 2248898728*i\/9 + 187631882800\/9 = 0.\nAnswer: 254, 5725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 421430 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 - 19. Let w = -2 - -10. Calculate the least common multiple of q and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 4*d = -2*c, 2*c = -4*d + 12. Solve 0 = -2*i + d*q - 4, 0 = i - 5*q - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1158 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: Let v(t) = -t**3 + 7*t**2 + 6*t + 18. Let l be v(8). Let i be 13 - (-2)\/(-6)*9. Suppose 3*y - z - i = l*y, 2*z = -3*y + 5. Solve -1 + y = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/15*(-1 - 1). Let s be 0 - ((-25)\/(-12) + 275\/44 + -6). What is the biggest value in -1\/4, i, s, -4\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7205 by -5.\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30643 - 14348 = 28*l - 156745. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 744298 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 + -4)*(6\/(-3) - -1). Suppose -5*a = -a - 24. Suppose 0 = -3*o + 2*l + 2, -5*l + a = -o - o. Solve y*q = -o*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 4*x**2 + 7*x + 6. Let z(i) = 12*i**2 + 179*i - 20. Let b be z(-15). Let p(f) = 4*f**2 + 6 - 3*f - 1 + 9*f + 0. Determine b*u(h) + 6*p(h).\nAnswer: 4*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 82.8648387ms?\nAnswer: 0.00000013701196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/((k*k\/(k\/k**(-4\/3)))\/k)*k)\/k)\/(((k**13\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 6) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*f**2*t**2 - 3472889*f**2*t + 2903*f*t + 25460*t**2 wrt f?\nAnswer: -8*t**2 - 6945778*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + -3 + 8*3479)*(9 - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26821, -107290, -241405, -429166, -670573, -965626?\nAnswer: -1314325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of -49 - 7*c - 3 + 5*c**2 + 60*c. Differentiate y(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + sqrt(2) - sqrt(12)\/sqrt(294).\nAnswer: -5 + 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 + 8*u + 5. Calculate k(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2010111 - -110?\nAnswer: 2010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(475)*6 + -3 - (-1 + 0 + sqrt(304) - ((sqrt(304) + 1 - sqrt(304)) + -3 + sqrt(304)))**2.\nAnswer: -4 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*x + 21*x - 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*h**3*s + 2*h**3 + 548829*h**2*s - 3*h**2 + 350*h - 3 wrt s?\nAnswer: 2*h**3 + 548829*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28 + 35. What is the greatest common divisor of 35 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 4*s = -13, 4*s - s + 6 = -2*i. Suppose i*q = 6*q - 789. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2 - 120*o - 23738.\nAnswer: 2*(o - 143)*(o + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmsmsm. Give prob of sequence ms.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/528624 and 127\/132.\nAnswer: 5814864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8557 by 8557.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000012507917661 rounded to seven dps?\nAnswer: 0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z. Let i(c) = -23274912*c**2. Determine i(v(l)).\nAnswer: -93099648*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + 6. Let d be o\/(-2)*12*-1. Let l be (-2)\/8 + 4815\/d. What is the highest common divisor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -14  (b) 4\/27  (c) -2\/3  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let x(k) = -k - 5. Let m be x(-4). Let t = 131 - 134. Which is the closest to m?  (a) -5  (b) -2\/11  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2 - 6*j + 16. What is the tens digit of s(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/2 of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - 5*o + 6. Suppose 12 = 5*f - 8. Let a be u(f). Let l = -16 - a. Calculate the greatest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1166 = 5*d - 4*l, -5*d + 22*l = 17*l - 1170. Does 83 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1555 + -867. Let p = m + -6182\/9. Factor -2\/9*u**4 - p*u**3 - 4\/9 - 14\/9*u - 2*u**2.\nAnswer: -2*(u + 1)**3*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(-2\/5)\/s)*s*s)\/((s*(s*s**2\/s*s)\/s)\/s*s))**(-14)*((s*s*s**6)\/s)\/s*s\/((s*(s*(s**2\/s)\/s)\/s)\/s)*s**5\/s*s*s*s**(-4\/5)*s assuming s is positive.\nAnswer: s**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 12:59 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 - 17*f + 2. Let p be z(-16). Suppose 7*t = 8*t + p. Let b = -16 - t. Solve -c - 16 = 3*u, -b*c + u = -0 - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-42)\/35)\/(-1*1\/155) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of u**5\/20 + u**4\/3 + u**3\/6 - 3*u**2\/2 - 196*u. Give a(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.40782 to 2 decimal places.\nAnswer: -2.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(10\/(-35)*-6)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -32250*g + 41004*g + 3532 - 792 wrt g?\nAnswer: 8754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 - 4*h - 81. Calculate d(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 - b + 6. Let y be a(0). Let j(u) be the third derivative of -u**6\/120 + 7*u**5\/60 - 5*u**4\/24 - 7*u**3\/6 - 19*u**2. Calculate j(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107221 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 0 - 1786*l**2 + 2 + 1769*l**2 wrt l.\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 379*k + 10278 - 3456 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2945687746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -369, -735, -1101, -1467?\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.996 + 0.104. What is the nearest to 2\/7 in 1, h, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -34308337\/66670 + -9\/13334. Let a = g - -515. Let 2\/5*k**3 + 2\/5 - 2\/5*k - a*k**2 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, i: 4, k: 2, x: 3}. What is prob of sequence ix?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0991685 grams in tonnes?\nAnswer: 0.0000000991685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -56 + 58. Calculate the smallest common multiple of c and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-6))**(-23)*(h*h**(-12))**(-43))**(-41) assuming h is positive.\nAnswer: h**(-25051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 41276.5 + -41277. Sort 6, 2\/11, a, 123, 1.\nAnswer: a, 2\/11, 1, 6, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + -3 - 0) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 6*d - 3. Let o(s) = -13*s + 79. Let u(l) = -2*l + 13. Let v(p) = -o(p) + 6*u(p). Suppose 0*r = -5*r - 10. Give r*t(a) + 10*v(a).\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -6890*b + 19. Determine k(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2\/9 - 124*b\/9.\nAnswer: -4*b*(b + 31)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 11*c + 225. Let h be f(-20). Suppose 44 = h*j + 6*j. Solve 0 = 2*o + j*z, -z = -3*z - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 232*w**5 - w - 15 wrt w.\nAnswer: 4640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.02, -1, -50, -2\/57?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 310201 greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 + 18. Let k be (-135)\/x - 10\/(-5). Suppose -o - 4*d + k = 0, 4*o + 3*d = -d + 152. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -340 + 340 - 51*m + (-3*m + 7*m - 3*m)*(-1 + 6 - 3) + m + m - 5*m.\nAnswer: -52*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143)*1*-2*-2*-1)\/((5*-3*sqrt(88))\/sqrt(8)*5).\nAnswer: 4*sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5674620855.4 from 107.96.\nAnswer: -5674620747.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 143875.8 months in millennia?\nAnswer: 11.98965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 2:17 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 79432.9 + -79433. Let p be 4\/(-6) - (-10)\/33. Which is the nearest to p?  (a) -2  (b) m  (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*30\/(-18) - (-4)\/(-2). Suppose -6*o - 252 = -2*o + p, -k*p = 5*o + 308. Is o equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6333 * 0.08127.\nAnswer: 514.68291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + (4 - 1) + (-8 - (1 - 4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(495) - (-2*sqrt(495) + sqrt(495)))*-5 + sqrt(495))\/((sqrt(275) - (sqrt(275) + -2*sqrt(275))) + sqrt(275))*5.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 21\/(-14) - 6\/(-4). Suppose -t + 1 = -w, -2*t - 2 + u = -3*w. Calculate the remainder when 11 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 2 = -5*r + 1, 0 = -3*q - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 31534898.33 rounded to the nearest 10000?\nAnswer: 31530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - 20 - 29\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 373 = 5*x, 16*x - 18*x - q + 152 = 0. What is the first derivative of -x*d + 223 - 57*d - 101 - 98 wrt d?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.023 + 0.977. Which is the second biggest value?  (a) 5  (b) u  (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 - -783132?\nAnswer: 783138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 4 = -2*j. Let w be ((-28)\/5)\/(j\/(-105)). Suppose 234 = 4*v - w. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/15 - 1449\/115?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 19661189*-5\nAnswer: -98305945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-14041)\/(-361) - 19) + -2 + 80\/38. Solve 23*u + 12 = l + g*u, 0 = 2*l + 2*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 520, 514, 504, 490?\n\"Answer: -2*i**2 + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -63*m**2 - 4 + 62*m**2 - 3*m + 3. Let g = -1 - 3. Let r be l(g). Which is greater: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -10. Let t(l) = l**2 - 4*l + 2. Let g be t(i). Let v be 13\/(-3) - (-4)\/(-6). Sort v, 3, g in increasing order.\nAnswer: v, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -35*c**3 + 15*c**2 + 15*c + 15. Let q(t) be the first derivative of 9*t**4\/4 - 4*t**3\/3 - 2*t**2 - 4*t + 141. Calculate 4*o(n) + 15*q(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((396\/(-11))\/6)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 15468*l + 2.\nAnswer: 15468*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that b**5\/3 + 8*b**4\/3 - 1289*b**3 + 77774*b**2\/3 + 182716*b\/3 - 85544 = 0.\nAnswer: -74, -3, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4*p = 10. Let a = -27 - -30. Let j be (0\/1)\/a + 7. Solve -p*z - j = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-12)\/1*(-105)\/28 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/24*6*17\/629.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4082965 months in years?\nAnswer: 0.200691375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -5*b**3 + 44*b**2 + 10*b - 2. Calculate l(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 698694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1581, 10, 2851 in descending order.\nAnswer: 2851, 10, -1581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 2*a**2\/3 - 218*a\/3 + 1400 = 0.\nAnswer: 25, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of 65\/2*m**3 + 25\/4*m**5 - 7*m + 45\/2*m**2 + 0 + 275\/12*m**4. Find y such that j(y) = 0.\nAnswer: -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuxuuxxuuxxuxuxxux. What is prob of picking 3 u?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 9*x**2 - 14*x - 3. Suppose 175 = 17*u + 5. Determine r(u).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 91128, 91235, 91342, 91449?\n\"Answer: 107*u + 91021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 25 + 24 = -z, z + f - 1 = 0. Are 2\/1015 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = -f + 201 - 204, 20*f + 98 = -2*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 16*n**2. Let p(o) = -3*o**2 - 3*o - 3. Let q(b) = -3*b**2 - 4*b - 4. Let d be 1*(62\/(-22) - (-6)\/(-33)). Let y(m) = d*q(m) + 4*p(m). What is y(i(u))?\nAnswer: -768*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -963*v - 17601 = 6816*v - 212076 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/7?  (a) -4\/3  (b) -0.4  (c) 309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 0.1. Let s = 746 + -743. Sort s, z, 2.\nAnswer: z, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -2) + 3\/12 + -2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25185\/68 or 369?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -62 + 9 - (11 - (-377)\/(-29))*(6 + 1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d**2. Suppose -4*n + 12*n + 5*n = 0. Let k(y) be the third derivative of 0*y + n - 3*y**2 + 0*y**3 + 5\/24*y**4. Give x(k(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11274*w + 2 - 5533*w - 5297*w.\nAnswer: 444*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1320220 + 100?\nAnswer: 1320320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 76649\/(-7) - (54\/(-14) + 4). Round q to the nearest 100.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2491.\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5*v = -2, 5*d + 2*v = -v + 74. Calculate the greatest common divisor of d and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24568, -24504, -24396, -24244?\nAnswer: -24048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97580163 is divided by 480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 3551 divide 105326211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156\/(-18)*3\/(-2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 21*i**3 + 1382*i**2 - 252*i - 108. Determine y(-66).\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -13. What is the second smallest value in o, -1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1\/9, 3\/2, -3, -57, 3\/86, -1?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 6)*(-h - 4*h + 2*h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34 + (-43 - -29) - -29?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 7*v**2 + 7*v**2 - 16*v**2 + 5*v**2. Let a(h) = -h**2 + 7*h - 7. Let g(t) = 3*t - 3. Let s(z) = -3*a(z) + 7*g(z). Determine r(s(l)).\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 128 + 422. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 3*c + 612 - 177, -205 = 2*f + c. Let j = f + 85. What is the fourth smallest value in 1, 2, 2\/11, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 + 72\/(-16) + -1)*2 + (-3500)\/(-250)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**3 + 658*l**2 - 4530*l + 7071. Give f(322).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 198706 * 593.\nAnswer: 117832658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -182*a - 23. Let v(y) = -182*y - 15. Let q(r) = -2*g(r) + 3*v(r). Let h(i) = -2*i. Determine q(h(p)).\nAnswer: 364*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2299 * -3\nAnswer: -6897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -22221276 (base 8) in base 13?\nAnswer: -cba810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k + 7*k - 6*k + 2*k + 0*k + k + (0*k + k + k)*(3 - 3 + 2))*(-3 + 1 + 3).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 44 = -2*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from weotwwedtw. Give prob of sequence wet.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**2 + 0*x**5 - x + 0*x**3 + 0*x**4 + 1\/6*x**6 + 0. What is the first derivative of n(d) wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p - 3. Let i be q(3). Suppose -6*c + 2*c + 28 = i. Let x = c + -4. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4cb + 2245a?\nAnswer: 22947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*s - 372*s = 1890 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -283904243767 - 8.99?\nAnswer: -283904243775.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 - (-81 + 0\/2 - 0). Suppose 0 = 4*w + 29 - x. Solve 0*g - w = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + (sqrt(128) - (sqrt(128)*-2 + 3 + sqrt(128))) + sqrt(128)*-1 + 5)**2.\nAnswer: 96*sqrt(2) + 774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5644 and 81260?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 11, b: 7, u: 2}. What is prob of sequence ubb?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-2)*(1 + -3). Suppose -3*j + 4*z - 1 = -9, 15 = 3*j + 3*z. Solve -j*i = -2*i - c*n + 2, -i - 4*n = 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3588549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (81 + -81)\/((-10)\/(-1)). Factor 1\/2*o**3 - 1\/4*o + 0*o**2 + b*o**4 + 0 - 1\/4*o**5.\nAnswer: -o*(o - 1)**2*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 1. Suppose 0 = b*m - 50 + 11. What is the third derivative of -5*p**2 + m*p**2 + 12*p**6 + 2*p**6 - 13*p**2 wrt p?\nAnswer: 1680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 0.1. Let n be 0 - (-6)\/(-10)*(-2)\/3. What is the third biggest value in z, n, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/(-3)*(1 + -4)*-1. Solve b*f = -5*r + 10, 4 = 2*r - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 5 = -9*l. Suppose l*i - 9 = 6. Suppose x + x = 3*y - 24, 24 = i*y - 5*x. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-9\/7))**14\/(k*k**(18\/7)*k*k*k*k**(-24)))**27 assuming k is positive.\nAnswer: k**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.07 * -2.\nAnswer: -2.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - -1) + -2 - (-3 + -8 + 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*k - 1007696 = 369433. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + 125432?\nAnswer: 125430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7743138 and -1.3526929.\nAnswer: -7743139.3526929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -217 by 696.\nAnswer: -217\/696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d + 3*d**2 - 13190*d**3 + 1 - 1.\nAnswer: -13190*d**3 + 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u - 8. Let s(z) be the first derivative of -z**2\/2 + z - 4. Let t(x) = k(x) + 3*s(x). Calculate t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -3*d**2 - 103*d + 74. Let p(h) = -h**3 - 15*h**2 + 3*h + 13. Let i be p(-15). List the prime factors of y(i).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1249.23159 to the nearest 10.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -28  (b) 0.5  (c) 5  (d) -23\/96  (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 1974 = -1402. Calculate the remainder when 402 is divided by g.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, e: 1, b: 1, x: 1, m: 1}. What is prob of picking 1 x, 1 b, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -1058, 0.1 in increasing order.\nAnswer: -1058, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25398 is divided by 686.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -12*g + 9. Let q = -20 - -36. Let d(i) = q - 7 + i - 5 - 5. Let c(o) = -9*d(o) - t(o). Let f(p) = -14*p**2. Calculate f(c(h)).\nAnswer: -126*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (534\/(-70) - (-26)\/130)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**3 + 10*a**3 + 5*a**3 - 14*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r**6*r)*r*r*r**(3\/2))\/(r**(-2))**(-10) assuming r is positive.\nAnswer: r**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 169, 2, 43479, -2.\nAnswer: -2, 2, 169, 43479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a + 4 = 10*a, 0 = 3*o + a - 14. Suppose -4*m - 43 = -p + m, -2*p + 5*m + 61 = 0. Calculate the least common multiple of p and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 5, -0.6, -0.2 in descending order.\nAnswer: 5, 1\/5, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6.0762 + 6.22. What is a rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*d + 3*d. Suppose -2*x + x = d, 5*x = h - 7. Let j be h\/7 + 72\/3. Is j greater than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 7. Suppose s = g + g - 14. Suppose -2*u = -5 - g. Solve b - u*b + 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (182*b**2 + 82 - 57 - 19)*(b - b + b**2) + (0*b + 0*b + 2*b)*(2*b**3 - b**3 + b**3).\nAnswer: 186*b**4 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.016354 or -0.3?\nAnswer: -0.016354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-40)*0 + 1*24\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -32127, -6, 0 in descending order.\nAnswer: 3, 0, -2, -6, -32127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 4 = 5*p, -10*z = -4*p - 9*z - 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) -3  (c) -2  (d) -0.2  (e) 218  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3373 + -3377. Let d be 46\/10 + (-2)\/(-5). Put d, 0, u, -7 in decreasing order.\nAnswer: d, 0, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -553\/1224 - -1\/136. What is the closest to -1\/3 in -0.6, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -574766, -1149414, -1724062?\nAnswer: -2298710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 AM and 8:52 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25*c**5 - 805*c**4 + 190290*c.\nAnswer: 500*c**3 - 9660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**3 - 12*g**3 - 12*g**3.\nAnswer: -27*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 4, 0.2, -3, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -18*d + 5*d - 251 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x**5\/5 - 736*x**4\/5 - 9077*x**3 - 952759*x**2\/5 - 919087*x\/5 - 226981\/5 = 0.\nAnswer: -61, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 7, -111, 4.\nAnswer: -111, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r - 5*r + 8*r + 4*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 5*o**2 + 6*o + 3. Let x be i(-6). Suppose -12 = -3*f + x. Suppose f*t - 50 + 5 = 0. Solve t*c + 2*h = 4*c - 15, 0 = -2*c + 4*h - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1105\/390 - (-1)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - ((2 - 11 - 0) + -17 + -5 + 3).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/5 greater than or equal to -74.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 - -46 - (-127 - -66).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c + j + 13 = -4*c, 9 = -2*c - 3*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5102999?\nAnswer: 11, 53, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1345*z - 2388*z - 18774 = 0 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5314114843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-403038)\/(-24) - 7) + (-3)\/(-4). Suppose j = 5*f + 2*r - 10750, -4*r = -2*f + 11010. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(2420) - -2*sqrt(2420))\/((sqrt(110) - (sqrt(110) - (sqrt(110) + sqrt(110)*2) - sqrt(110)) - sqrt(110))\/sqrt(11)))**2 + -1.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8.5 and 67628.\nAnswer: -574838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 151580 divided by 37895?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from crcrcrrrrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.6906+-0.0377\nAnswer: -0.7283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3540 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2.8  (b) -1.2  (c) 4  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 92*z - 835. Let l be k(9). Which is the nearest to 1\/2?  (a) l  (b) -14  (c) -2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 AM and 2:05 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -11*a**2. Let f(j) = 231709*j. Determine f(z(x)).\nAnswer: -2548799*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5974.991783 - 6178.9917. Let o = 212 + -8. Let d = o + n. Round d to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 216.611 and -6800415.\nAnswer: -6800198.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4441013344 + -1?\nAnswer: 4441013343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**3\/3 - 38566*d**2\/3 + 77135*d\/3 - 12856 = 0. What is d?\nAnswer: -38568, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26632 is divided by 3131?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 - -2 - 6\/9*-3. Find the first derivative of k + 0*k + l*k**2 + 4631 - 4686 wrt k.\nAnswer: 6*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -32\/27  (b) -1\/3  (c) 0.44  (d) 63  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 5  (b) -1  (c) -2  (d) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/7))**(2\/11)*m**(3\/4)\/((m*m**(4\/3))\/m)*(m**(-1\/2)\/m*m*m**(-5)*m)\/(m**0\/m)**(-47) assuming m is positive.\nAnswer: m**(-48077\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-35)\/(-14)*(6 + 180\/(-25)). Let v(b) = b + 1. Let a be v(0). Let w = -0.3 + -0.2. What is the nearest to a in w, c, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 + -12. Let t = y - 3. Suppose -t*i + 0 + 12 = 0. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*l + 2*z + z, 0 = -2*l - 3*z + 3. Let v(x) = x**2 + 2. Let u(j) = j**2 + j + 1. What is the remainder when u(4) is divided by v(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -5*i**2 + 28*i + 12. Let u be t(6). Let x(s) = 0 + 1884*s + u - 1885*s. Let m(j) = -j. Let a(g) = -m(g) + 4*x(g). Let o(q) = -29*q**2. Give a(o(h)).\nAnswer: 87*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -5*o**2\/2 - 2*o + 8. Let h be r(-1). Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**2. Let m(c) = -2*c**2 + 24*c - 3. Let o(k) = -3*k**2 + 27*k - 4. Let d(t) = 4*m(t) - 3*o(t). Give q(d(g)).\nAnswer: 2*g**4 + 60*g**3 + 450*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 10 = -3*d + 5*g, 11 = 4*d - g. Differentiate -d*o + 8 + 0*o - 3 - 3 with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2607999900 rounded to the nearest 1000000?\nAnswer: -2608000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 58701*g*h**3 + g*h**2 - 7*g*h + 36*g - 58*h**3 - 201*h**2 + 8*h + 5 wrt h.\nAnswer: 352206*g - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 44714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*v + 38 = -92. Let r be 2025\/6 + v + 2\/4. What is the greatest common divisor of r and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007585 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/z**(-2)))\/z**1*(z\/(z*z**(6\/5)\/z)*z)\/(z\/(z*z\/(z\/(z*z\/z**(-2\/7))*z))) assuming z is positive.\nAnswer: z**(-32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/85485 and -32\/51291?\nAnswer: 256455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 2*x + 30, 14 = 4*l - 2*x - 12. Suppose l*h - 4*h = 876. Let b = h + -589. What is b rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 9:33 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -543 or -548?\nAnswer: -543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 86591374, 173182748, 259774120, 346365490?\n\"Answer: -w**2 + 86591377*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 66564961 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3\/4*(-653380)\/(-195)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 204 divide 25908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of a*h**2 - a*h + 7807228*a - h**2 - 4255988*h + 3 wrt a.\nAnswer: h**2 - h + 7807228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2 + 1 = 0. Suppose 5*w = 3*k + 60, -2*w - 3*k - 2*k + 55 = 0. Suppose 5 + w = 4*x. Solve 5*z - 6 = -4*g, -x*g = -2*z - m*z + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = 141*l - 126*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1707 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -h + 3*a, -3*a = -0*h + h + 9. Let x(p) = 10 + h*p - p - 3*p. Let d be x(7). Solve -d*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 1181?\nAnswer: -2\/1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.974 - -0.026. Let v = 1 - r. Which is the nearest to -1?  (a) 1  (b) 0  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/6 - (-1292)\/(-204). Let c be (v\/7)\/(-1) + 12\/14. Solve c*k = -3 - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -71, -148, -225?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**2\/11 + 1766562*o\/11 - 1766564\/11 = 0. What is o?\nAnswer: -883282, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(2\/3)*u)**(-43)\/(u**(-15\/2)\/((u**(-9)*u)\/u)) assuming u is positive.\nAnswer: u**(-697\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 - (0 + 1)\/(-1). Let k be 198\/30 - (-2)\/a. Let u = k - 4. Solve 5*j + u = 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37*j**3*s**3 - 25*j**3*s + 3*j*s + s**3 + 89*s wrt j?\nAnswer: 222*j*s**3 - 150*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 11*d - 73. Which is smaller: d or 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*y + 0*y + 0*y)*(2 - 1 + 1) - 491*y + 479*y - 3 + 1 + 5*y + 7 - 7 + (y + 5*y - y)*(-4 + 0 + 5) + 4*y - y - 2*y as k + q*y and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 5:05 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32\/5327 - -5732332\/79905. Which is smaller: b or 72?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 218*k**2 + 176*k**2 - 2 + 185*k**2 + 2 - 514*k**2.\nAnswer: 65*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -12. Sort 1, -5, p.\nAnswer: -5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -9, -4, -5 in descending order.\nAnswer: 3, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 AM and 9:43 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -3*w**3 - 2154*w**2 + 241647*w - 5331690 = 0.\nAnswer: -819, 31, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 2*m - 398 = 0, -5*r + m = -2*m - 2025. Let q be 2\/(-3) + r\/18. Find the second derivative of -q*n**2 - 3*n**3 + 22*n**2 - 5*n wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - 5*c + 2*c)*(1 - 9 - 3) - 1 - 2*c + 1.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9811, -39741, -89649, -159535, -249399?\n\"Answer: -9989*l**2 + 37*l + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-63))\/((-8075)\/112404) - (85\/(-35) + 2)\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -175689775*c**4 + 203716186 wrt c.\nAnswer: -702759100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j. Let c(o) = -24*o**2. Let y(k) = 5*k**2. Let n(b) = -3*c(b) - 16*y(b). What is l(n(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5017 - -5016.2. Sort t, -1\/3, -0.26, 0.4.\nAnswer: t, -1\/3, -0.26, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**2 - 17*k - 27. Let j be l(14). Let i = 137 - j. What is the greatest common factor of 25 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10*(0 - -2) - (-9 + -9)\/(-6). Solve 20*n - 25*n = 4*x + m, -4*n = 5*x + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10727*b**5 - 824*b**3 + 8*b**2 - 102*b - 1393 wrt b.\nAnswer: 643620*b**2 - 4944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -60*h - 1801 + 4693 - 958 - 254 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 5*s**2 - 6*s + 2. List the prime factors of k(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (300\/(-700))\/(6\/(-1722)*3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26705 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**5\/5 - 3*j**4\/5 - 18*j**3\/5.\nAnswer: 3*j**3*(j - 3)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*o = 8, -l - 7*o + 2*o = 10. Let j be -3 + (-18)\/(-8) - l. Suppose 3*y + 3 = -m, 2*m + 2*y + 2 = -0*m. Are m and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 441912999 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3017236?\nAnswer: 2, 73, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -51606044?\nAnswer: 51606041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k = 12*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.8525 years to centuries.\nAnswer: 0.058525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 3 = -0. Suppose 9*z = 17*z - 194464. Suppose 0 = b*p - 2*h - z, p - 3880 - 4216 = -h. Round p to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4110, -4110, -4108, -4104, -4098?\nAnswer: -4090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-333 + 751 - 378)*(45*b + 10*b + 28*b).\nAnswer: 3320*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 divided by -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -13 and 985.9926.\nAnswer: 972.9926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 7 - 4)*(-z**2 - z**2 + 3*z**2).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50506764*u**3 + 25253389*u**3 + 25253367*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 0.8171711\nAnswer: -0.8171711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -53 + 127. Which is smaller: 73 or z?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1163.8950106 rounded to 2 decimal places?\nAnswer: -1163.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10301.43 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j**3 + 2*j**4 + j - j)*(2369 - 4848 - 9679) to the form c*j**4 + v*j**2 + w + f*j + p*j**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ouu when three letters picked without replacement from {o: 1, u: 3, e: 1, l: 2, g: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 168.571557 nanoseconds to weeks.\nAnswer: 0.0000000000002787228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(7\/156)*38\/1254*-11.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqrprpppxpcpipxrrrxx. What is prob of picking 1 q and 1 r?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-4 + 2 + sqrt(208) - -4*(sqrt(208) + 1 - sqrt(208)) - ((3*sqrt(208) - sqrt(208))*2 + 4))**2*-4.\nAnswer: -7499 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -123*h + 34. Let c(u) = -39*u + 11. What is -4*a(f) + 11*c(f)?\nAnswer: 63*f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n. Let a(j) be the third derivative of 107*j**5\/15 + 21*j**2 + 9. Calculate a(v(y)).\nAnswer: 1712*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 11:51 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 256819\/9 at most as big as 28534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -3, -8, 2\/9.\nAnswer: -8, -3, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -44*d + 62. Let i be f(7). Let h = i - -263. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -473*b**3 + 182*b + 238*b**3 + 236*b**3 to the form t*b**2 + i*b**3 + y + k*b and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 946469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 18 = x, -4 = -4*x - n + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1367511 is divided by 369.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let t(x) = 9*x**2 + 2*x - 2. Let y(d) = 17*d**2 + 5*d - 5. Let i(h) = -h - 29. Let m be i(-34). Give m*t(g) - 2*y(g).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 11:03 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.11 + 0.51. Suppose 176 = 4*c - 8. Let o be 10 + -6 + c\/(-10). What is the closest to 1\/3 in h, -0.4, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.683294 - 32\nAnswer: -30.316706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2188)\/24)\/((-4)\/24). Let b = 315 + o. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -1\/2*t**3 + 0 - 3\/2*t**2 + 1\/12*t**4 - t. Calculate j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) 74  (b) 4  (c) 2  (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.6 - 0.4. What is the third biggest value in a, 4, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**4\/9 - 194*r**3\/9 - 1600*r**2\/3 - 512*r = 0. What is r?\nAnswer: -48, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 354*m**2. Let w(o) = -o**2. Give w(c(l)).\nAnswer: -125316*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -214800 to the nearest one thousand.\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -3*x + 1224. Let a = x - 519. Let d = a + 1895\/6. Put -0.5, d, 0.3, 0.4 in ascending order.\nAnswer: -0.5, 0.3, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6 + -3.6. Let x = -37 + 25. Let b = x - -12.1. What is the third biggest value in 2, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 7 = 4*j - 1, -4*j - 8 = -4*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 631 - 147. Suppose 117*y = z*y - 508. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -980 = 416*z + 1193 + 323 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4593 - -4592.44. What is the second biggest value in t, -3\/7, 10?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 585333 - 584225.0116. Let a = 1105 - c. Let l = -3 - a. What is l rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3\/9 - 24772*k**2\/9 - 16878880*k\/3 - 3802484800.\nAnswer: -4*(k + 1860)**2*(k + 2473)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l - 7. Let s = 13 + 7. Suppose 4*g - 8*g = s. List the prime factors of d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -35*o**2 + 439 + 445 + 437 - 1321. Let n(i) = 6*i. What is n(a(s))?\nAnswer: -210*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + 5*f - 8. Let u be l(-7). Suppose -29 = o + 9. Let w = -22 - o. Solve 0 = u*b - 2*b - w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.03, -2\/11, 0, -2, 2, -1\/25 in decreasing order.\nAnswer: 2, 0, -1\/25, -2\/11, -1.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5158013.\nAnswer: 7, 53, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3.38 times 10.05\nAnswer: 33.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 320*f*z**2 - 2150*f wrt z.\nAnswer: 640*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 12*l**3 - l**2 - l. Let i be z(-1). Let p = i + 21. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-139 - 282 + 91 + 5)*(-3*o**4 + o - o).\nAnswer: 975*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 88880612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -16*o + 20. Let s(c) = -26*c + 23. Determine -6*j(v) + 7*s(v).\nAnswer: -86*v + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 - 57*v - 244. Let s be a(-4). Which is smaller: 12\/557 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.638098 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 163663 - -1?\nAnswer: 163664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/((sqrt(66) + sqrt(66)*1)\/sqrt(6))*4)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 + 13121212?\nAnswer: 13121131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-4))\/((-108)\/48).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 35493202 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 AM and 5:30 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -3*m + 4*t, 2*t + 12 = -m + 11. Solve 0 = -m*p + 10*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -117.1 rounded to the nearest integer?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 + 5*p. Let q be z(5). Let s(r) = -r**3 - r + 4 + 3*r**2 + 2*r**2 - 4*r**2 + 2*r**3. Is s(q) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 469558278?\nAnswer: 2, 3, 7, 532379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2575 - 2499. Solve -14*h + q = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -21414519*l**3 - 111132*l**2 - 27783*l - 83349. Let j(a) = -3083*a**3 - 16*a**2 - 4*a - 12. Give -27783*j(m) + 4*s(m).\nAnswer: -3087*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9498048)\/62160 - (-72)\/15.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1171602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + (128\/(-128))\/(0 + 2)*-8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that n**4\/7 + 22*n**3\/7 + 177*n**2\/7 + 88*n + 112 = 0.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.01 + 3.01. Let c be (6 - (-484)\/(-80))*4. Let s = 3.3 + -3. What is the biggest value in c, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-11)\/((-33)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/366  (b) -1  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*s + 7*s - 17*s + 4654 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*x = -2*k - 28*x - 2, 4*k = 5*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 209, -2, -19, 7, 2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20285*o**2 - 20889*o?\nAnswer: 40570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-80)\/72 - (-114)\/54?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppppiippp?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7868*s - 7594*s + 13283*s + (3 - 6 + 2)*(0 + 0 - s) - 3*s + 5*s - s)*(-7*s**4 + 3*s**4 + s**4).\nAnswer: 6531*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 - (3 + (2 - 13)). What is the remainder when (2 + -14)*(-23)\/x is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + 1)*(-1 - -4). Let i be 6\/(-15) + -2 + p. What is the closest to 2\/5 in 1\/8, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/1113480 and 35\/108.\nAnswer: 1113480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*n - 64 = -39*n. What is the closest to 2\/5 in -1\/8, 5, n?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(171) + sqrt(171)*-2 + sqrt(171) - sqrt(171)) - (sqrt(171) + -4*-2*sqrt(171)))\/(-1*sqrt(9)*-1*-2)*-5*-1.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/557  (b) -2  (c) 6639\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4130 (base 16) to base 12.\nAnswer: -97a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-4)*1 - 198\/(-44). Solve n*b - 24 + 18 = 2*o, o + 3*b = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r. Let v(m) = -6*m + 3. Give 4*d(k) - v(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from mlplxxlxlm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x + 3*x + x**2 - 79*x**2 - 179.\nAnswer: -78*x**2 + x - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20)\/3 - 4\/12. Let n = -3 - h. Let m = -1 + n. Solve -m*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55 + (-19 - -10) - 20\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -125983 (base 10) to base 16\nAnswer: -1ec1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -20*s**2 + 4404755*s + 5505975 = 0?\nAnswer: -5\/4, 220239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10402 + 10408. Let p = -18 - -30. Calculate the greatest common factor of u and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 2 = -246*s + 247*s, 4*h - 1 = 3*s. Solve -20*v = -23*v - g - h, -v - 3*g = 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/48 - ((-750)\/8)\/(-3). Let h = s - -34. Factor -h*n + 4*n**3 + 22*n**5 + 2*n**3 - 25*n**5.\nAnswer: -3*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3*j**3 + 333*j**2 - 4*j + 456. Determine c(111).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u**3 + 27*u**2 - 4*u**3 - 7*u**2 in the form k*u**3 + t + y*u + b*u**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(110)\/sqrt(2) + sqrt(55)) - sqrt(55))\/(sqrt(44)*6).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5365 - 5212. What is the remainder when n is divided by 95?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 4. Let c = -1 + y. What is the units digit of 78\/21 - c\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 0.3, 3\/113384, -3\/2, 0.9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2591010 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 32052135.9 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert a5c (base 16) to base 5.\nAnswer: 41102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 + 8*l - 3. Let c be z(-8). Let m be (c + 3)*((-36)\/(-8))\/9. Let j be (m + 12 - 2) + -2. What is the highest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h + 2 - 2)*(1 - 1 + 1)*(4*h**2 - 13*h**3 - 2*h**3 - 2*h**2) in the form b + l*h**3 + v*h + c*h**4 + a*h**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aqeq when four letters picked without replacement from oazzaqzaeaafe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.50537128 to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*q + 2. Suppose -5*r + 0*f - 48 = -4*f, -3*f - q = r. Let z = 11 + r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 3:20 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-80 - -749)*2*14\/(2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00026344 to 6 dps.\nAnswer: -0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 918426.4ml in litres?\nAnswer: 918.4264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8\/13?  (a) -4  (b) -2\/5  (c) 200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 586579.392 to the nearest one thousand.\nAnswer: 587000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 528, -4310, -9148?\n\"Answer: -4838*n + 5366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3\/5  (b) 0  (c) -0.06  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*b + 18 = 0, b = -3*m + 2 + 2. Let n be m\/12 + 3\/(-12). Let h = 45 + -41. Solve n*g + 20 = h*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-3)*3 + 2. Let c be (-6)\/p*(-16)\/6. Solve 3*l - c = 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8\/3*l - 8\/3 - 2\/3*l**2.\nAnswer: -2*(l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14890 + 18754. Calculate the greatest common divisor of 672 and i.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -202172326*x**5 + 117807509*x**2 wrt x.\nAnswer: -12130339560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 81?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4\/21 + 0. Let t = -83\/105 - z. Put 0.088, 1\/3, t in ascending order.\nAnswer: t, 0.088, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/1327 - 5318\/6635. Which is the nearest to 12\/13?  (a) -0.1  (b) r  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 5 - 5 - 10*z**2 + 11*z**2. Let o be b(2). Suppose 2*y + 2*w = 54, -o*y + 8*y = -w + 93. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 7:26 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32)\/72*(-63 + 72) - (1 + 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.718632 minutes to seconds.\nAnswer: 43.11792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34.1 + 35.1. Which is the closest to -0.1?  (a) -5  (b) n  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -3 + 0 + -5 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8641353 divided by 161?\nAnswer: -53673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -54?  (a) -4\/27  (b) 0.5  (c) 311\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 525*m + 230707 = 542*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1814810105?\nAnswer: 5, 2381, 152441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**4*s)\/(s**(-2\/31)*s) assuming s is positive.\nAnswer: s**(126\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.19097 to two dps.\nAnswer: -4.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11211020 + 201100100?\nAnswer: 112112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r**3 - 60*r**2 - 68*r - 24 = 0. Calculate r.\nAnswer: -2, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -6*t - 5. Let d(s) = 1. Let v(c) = 2*d(c) - p(c). What is the tens digit of v(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 9:20 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 16698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2788247 and 80311?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166538731 is divided by 517201.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-84)\/(-63))\/((-88)\/12). Sort f, 2\/7, 2, 16\/11.\nAnswer: f, 2\/7, 16\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -212*g**2\/9 + 934498*g\/9 - 8816\/9.\nAnswer: -2*(g - 4408)*(106*g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**4\/4 - 119047907*c**3\/2 - 178571859*c**2 - 357143717*c\/2 - 238095811\/4.\nAnswer: -(c + 1)**3*(c + 238095811)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -4.1. Let t = 0.4 + u. Let z = 2405 - 2405. Put z, t, 5, -0.4 in increasing order.\nAnswer: -0.4, z, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -88*q + 29*q + 649 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141191732?\nAnswer: 2, 11, 17, 31, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 337244 and 35695?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2835428021.\nAnswer: 41, 337, 205213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of -47*n**5\/5 - 120*n - 60. Differentiate g(c) with respect to c.\nAnswer: -188*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -580 = -10*l - 540. Solve -2*v + j - 6 = l*j, 15 = -5*v + 5*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 - (-104)\/20 - (-596)\/745. Put o, 563, -4 in descending order.\nAnswer: 563, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2067 + -850. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-102)\/(-24) - (-1)\/(-4). Suppose 4*k = -4*r + 312, -2*r + v*k + 234 = r. Calculate the highest common divisor of r and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 6*x**2 - 14*x + 6. Let a be z(7). Suppose 7*q = -5*u + 3*q + a, 5*u - 204 = -3*q. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -27 in 12, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s + g + 5, -s + 5*g = -19 + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 816935 to the power of 1\/2, to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2*(sqrt(112) + 1) + sqrt(112) + 1 + -4 + 5 + 0)*4)**2.\nAnswer: 28672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of 7\/3*b**3 - 1\/12*b**4 + 0 + b - 6*b**2. Is 6 a factor of z(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**5 + 2*u - 2*u - 2*u**5 + 0*u**3 + 0*u**3 + (-2 + 2 - 3*u**4)*(4*u - 2*u - 3*u) + 124*u**3 + 37*u**5 - 124*u**3 - 4*u**5 + u**5 + 2*u**5.\nAnswer: 35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1627*o = 5*f - 1629*o + 9, 3*f - 4*o = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1147*d**2*m**3 + d**2*m**2 - 15*d**2*m*x**3 - 2*d**2*x**2 - 3*m**3*x**3 - 2*m**2*x - 229*x wrt m.\nAnswer: -6882*d**2 - 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18597 - -2197. Let j be m\/4*2 + 0. Round j to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0\/(-6))\/(-6) + 0. Suppose 6*d - 65 = 4*d + 5*w, h = -2*w + 10. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12\/78 + 41808004\/(-26). What is y rounded to the nearest ten thousand?\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 10. Which is the second biggest value?  (a) 0.1  (b) 1\/4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(3\/24*-2). Let f be 7*18\/(y\/2). Let l = -6 + f. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -171) + (7984 - 8036).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 6*((-2 + 0 + sqrt(1700) - sqrt(1700))**2 - (1 + (sqrt(1700) - 1*sqrt(1700))))*3.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 123234292987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204 = -7*t - 5*t. Let a = 0 - t. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7777 times -0.03\nAnswer: 233.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11088 divided by 14.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 308 = 5*v - 147. Suppose -2*x - v = -5*w, -59 = -4*w + w - x. Suppose -w - 8 = -3*q. What is the remainder when 17 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62410.5 millennia to centuries.\nAnswer: 624105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 10:42 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.05  (b) -133  (c) 1  (d) -5  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/20 and -11\/434874716.\nAnswer: 2174373580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**4\/3 + 41*o**3\/3 - 2003*o**2\/3 + 7725*o - 27594.\nAnswer: (o - 14)*(o - 9)**2*(o + 73)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-14)*x**(3\/4)\/x)**(-41))**16)**(-21\/5) assuming x is positive.\nAnswer: x**(-196308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5542 + -5541. Sort 0.0366, 1\/6, f in decreasing order.\nAnswer: f, 1\/6, 0.0366","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 23*o - 158. Let w be x(7). Suppose 5*m - 1122 = -4*i + w*i, 0 = -4*i - 12. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -421.6439065 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1707.0232 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32 - 594\/27)*(-16)\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**3 + 4*o**3 - 2*o**3 + (-7*o**3 - 5*o**3 - 8*o**3)*(-2 + 6 - 3).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 28 = 1087*x - 1085*x, 28 = 2*x - t for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4423301633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-4)\/(160\/188) + 5.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4897216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from njjnkjddtvtn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 plus 345?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, 3, -1\/32, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 1:57 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 4*n - 337 = -87, -87 = -2*j - n. Let p(c) = c**3 - 47*c**2 + 58*c - 81. What are the prime factors of p(j)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**3 + 121360*u**2 - 736533825*u + 1472582250.\nAnswer: -5*(u - 12135)**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3524*a - 3508*a + 208 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3454585 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of -d**6\/1080 + d**5\/40 + 43*d**3\/3 - 2*d - 22. Let u(a) be the second derivative of x(a). Find n such that u(n) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 52 = 4*f, -6*f - u = -187 + 237 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w\/(w**(1\/8)*w))\/w)\/(w**(-5)\/w))**(3\/28)\/((w\/((w*w\/(w\/(w*w*w\/(w*w**(-1)))))\/w)*w)**(2\/81))**(2\/3) assuming w is positive.\nAnswer: w**(35159\/54432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 8:22 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*l = 17 + 23, -3*k - 15 = -l. Factor 1\/4*w**k + w - 3.\nAnswer: (w - 2)*(w + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-1))**(4\/11)*i**(-4)\/i**(-3))\/((i*i**(-4\/7)*i*i**(-1))\/(i*i**(-2\/7))**24) assuming i is positive.\nAnswer: i**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 870, 1742, 2614, 3486?\n\"Answer: 872*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 6 = 2*z, 8 - 9 = 5*z + 4*d. Which is the closest to 1?  (a) 8  (b) z  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3\/235 - 503\/2585. Let r = 15.7 + -8.7. Let j = 5 - r. Is w equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 98412309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -9, -347 in increasing order.\nAnswer: -347, -9, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (277 - 98 - 84)*(-3 - 1 + 0)*(0*z + 0*z - 2*z**2).\nAnswer: 760*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from plmssfb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261 is divided by 10 + (-11)\/2*(-107 - -79).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 1.22  (c) -1\/2  (d) 100  (e) 2\/5  (f) 0  (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, y: 1, x: 2, r: 1, c: 2}. Give prob of sequence pyp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 647236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -425*c - 3148 - 619 + 29777 = 85*c for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 9:16 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of m**5\/60 - 5*m**4\/12 - m**3\/6 + 5*m**2. Let v be a(10). Is v\/(4\/8) + 179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1610*f**3 - 3*f**2 + 23*f**3 - 1606*f**3 + 4*f**2 + 5*f - 365*f**3.\nAnswer: -3558*f**3 + f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -528*z - 29031. What is r(-54)?\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/6 - (-245)\/15. Let r = -13 + x. Suppose -r*z = -4*i + 2*i + 402, -z - 417 = -2*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) 4\/3  (c) 12  (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -19 + -11010?\nAnswer: -11029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/1727 and 6\/5.\nAnswer: 8635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + -22. Let j be (-9)\/u*4\/3. Suppose j*w + 5*w - 512 = 0. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 134200 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 5*v - 26 = 0, 24*c - 2*v = 20*c - 4. Solve 2*d + 4*t + 10 = 0, 0 = -c*t + 4*t + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + -b?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 881 divide 8498769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 3*q - 99 = a, 16*a + 4*q - 133 - 3 = 20*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 354762, 354821, 354876, 354927, 354974, 355017?\nAnswer: 355056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 20 (base 13) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 161 + 289. Let l be h\/80 - (-3)\/8. Find n, given that 4*n**2 - 8*n**3 + 4 + 2*n**5 + 12*n**4 - 20*n**2 + l*n**5 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 y when three letters picked without replacement from {k: 5, y: 4, a: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from hhhhcyzs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*t = -4*f - 27*t + 95655, 119580 = 5*f + 5*t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express i - 447 - 403*i**2 + 729 - 783*i**2 - 282 + 4*i**4 in the form c + v*i + j*i**4 + o*i**3 + h*i**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 563*c + 26*c - 2 - 155*c to the form x + k*c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000110871 to 6 dps.\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 6*u**2. Suppose 3*t - 6*t = 3. Let k(i) = i**2 - 1. Let c(p) = t*a(p) + 8*k(p). Suppose c(h) = 0. Calculate h.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 9 - 300*u - 5.\nAnswer: -300*u - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 43  (b) 0  (c) -0.3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7159 at least 7153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z**2 + 4*z + 1. Let w = 18 - 16. Let t be (-2)\/((-2)\/((-8)\/w)). Let c(j) = -2*j**2 - 3*j - 1. Give t*c(n) - 3*y(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9600303371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at least -2\/299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + c = 78. Let f = c - -13. Suppose -3*k - 12 = 0, f = -2*r - 4*k + k + 34. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 37 = 7. Suppose -7*o + 4 = -z*o. Suppose v = o*y + y - 39, 5*v = -2*y + 21. Solve y = q + q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0597 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 140961, 281918, 422877, 563838, 704801, 845766, 986733?\n\"Answer: p**2 + 140954*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/35)\/(c\/c**4))**(3\/25) assuming c is positive.\nAnswer: c**(321\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 47876322 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -19*j**3 + 23*j**2 - 202*j + 397. Calculate n(2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 6*m**2 + 41*m + 2. Let a be k(-19). Find the second derivative of 1389*u**4 - a*u**4 - 4*u**5 - 25*u wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*s**2 + s - 6*s + 14*s**2 + 3*s.\nAnswer: 9*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -269801.9.\nAnswer: -269796.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 7*v**2 - v - 5. Let w be t(-7). Let q be 16\/(12\/(-9) + w). Calculate the common denominator of q\/10*5\/(-11) and -13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7767\/25890)\/((-39)\/4).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2365 - 1477. Suppose -b = -0*y + 6*y. Let n = y - -287. What are the prime factors of n?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 897.679 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/1)\/3 + 84\/6. Which is the closest to g?  (a) 5  (b) 0  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 258600961 to the power of 1\/3, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f. Let n(h) = -4*h - 2. Let d(i) be the first derivative of 8*i**2 + 9*i + 15. Let k(v) = 2*d(v) + 9*n(v). What is j(k(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19725 + -19732. What is the closest to -0.1 in 4\/41, x, 0.3?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-648)\/(-9))\/12 - 4\/(-42)*-62.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -5*g**2 + 74*g - 59. Let r be h(14). Suppose -s - 75 = -4*s - 3*k, s + 5*k = 5. Let d = s - r. What is the lowest common multiple of d and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.13+-37704381\nAnswer: -37704380.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 104\/2340 + 8\/(-18). Which is the second smallest value?  (a) p  (b) -2\/23  (c) 2  (d) 8.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.01, 0.1, -0.03, 0.4 in descending order.\nAnswer: 0.4, 0.1, -0.01, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 + 36*u**2 + 3*u + 93. Let y be ((-48)\/40)\/(((-39)\/520)\/((-18)\/8)). Calculate r(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1620 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 931\/833 - (-4)\/(-34). Put g, 58, -4 in decreasing order.\nAnswer: 58, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -586*f - 9. Let g(n) = 227953*n + 3498. Give -3*g(m) - 1166*s(m).\nAnswer: -583*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -167660, -671793, -1512014, -2688323, -4200720?\nAnswer: -6049205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 203 - 50. Suppose 0 = -50*z + v*z. Solve -2*q + 5 = -b, -5*q + 13 = -z*b - 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 39 - 37. Suppose f = r - 0. Solve -5*b + 0 = -r*p - 5, 3*p - 12 = b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -971\/3 + 329. Factor -2\/3 - 32\/3*b**2 + k*b.\nAnswer: -2*(4*b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 351?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -323360 (base 7) in base 11?\nAnswer: -39450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 17, 22, 29, 38?\n\"Answer: k**2 + 2*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 798234386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 46 - 27 - 24 - 10*v**2 in the form u*v + n*v**2 + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -277 less than -0.4?\nAnswer: 276.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 11) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fqwrqqqknqqqkfq. Give prob of sequence wf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2846, -2845, -2844, -2843?\nAnswer: -2842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 34252365.91 rounded to the nearest one hundred thousand?\nAnswer: 34300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4116498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 5:40 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of -1\/15*q**5 + 0*q + 1\/360*q**6 + 8*q**2 + 3\/2*q**3 + 0 + 3\/8*q**4. Let m(d) be the first derivative of y(d). Calculate m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634974 - -25?\nAnswer: 634999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 3527.11\nAnswer: 10581.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-43 + -707)*(-2)\/6. Calculate the greatest common divisor of n and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 1213*u + 145257. What is y(-120)?\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4642968 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {b: 3, y: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -5*x + 178, 3*q - 62 = 5*x - 7*x. Calculate the smallest common multiple of x and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 13) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14406 and 71170.\nAnswer: 512637510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3 = n, -r + 6*r = 4*n - 12. Let s = 432 - 429. Suppose -3*a + 16 = a. Solve s*h - a*h = r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(22)\/((-4*sqrt(6)\/sqrt(3) - sqrt(2)) + sqrt(2)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2626 (base 16) to base 9\nAnswer: -14351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 51*d - 48*d = 11, -8*b - 3*d = -61 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57 + -57.06. Suppose -146*n + 7 = -142*n - b, 5*n - 4*b + 5 = 0. Sort -4, q, n in descending order.\nAnswer: n, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1488895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + 1. Let g be i(-3). Suppose 11 = b - g. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(2\/7))\/l*((l*l**(-14))\/l)\/l*l\/l**(-21)*l*l\/((l\/(l**(-14)*l))\/l*l*l) assuming l is positive.\nAnswer: l**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 714*y + 174942. Determine t(-245).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 233887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 405849586.\nAnswer: 2, 202924793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - t + 30 = 0. Solve 0 = -2*v - k + t, 4*v + 2*k = -k + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 12*v**3 - 4 - 16*v**3 + 3*v**3. Let h be u(-2). Sort -3, h, 5, -1 in descending order.\nAnswer: 5, h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -44714411*x**3 + 2*x**2 + 58155305*x + 1?\nAnswer: -268286466*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 43 = 2*n + 3*n, 2*n + 7*v - 9 = 0. What is the least common multiple of n and 1270?\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11218 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1047 + 1517. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8714602577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -1) + -35 + 7 + 28 + -21 + -27?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -67 + 185 + 0 + 0\/2. Let i = q + -111. Suppose i*m - 20 = 3*m. Solve 3*u + 2*z = 4, -4*u - m*z + 31 = -7*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6056 and 14759986.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22 + 47 - 75) + -45?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1273 - 7625\/6. Let r = -214246134967\/9110 + 117588686\/5. Let b = -2\/911 - r. What is the common denominator of t and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -737  (b) 3\/13  (c) -1\/2  (d) -19  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -22020115395 take away -0.5?\nAnswer: -22020115394.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 55 - 318*z**3 + 53 - 210*z + 311*z**3 - 109 to r + b*z**3 + s*z + i*z**2 and give s.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**4\/6 + 449*z**3\/6 - 4561*z**2\/6 + 13291*z\/6 - 1530 = 0. What is z?\nAnswer: -459, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2)*c\/c**(3\/8))**(-6\/17))**23 assuming c is positive.\nAnswer: c**(759\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 98, 96, 94, 92, 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -3*q**3 - 3501*q**2 - 13968*q - 13956 = 0.\nAnswer: -1163, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - (16 - 50 - -38).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 548226133?\nAnswer: 7, 13, 19, 317077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5625 + -4565. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*f*n**3 + 89*f*n**2 - n**5 + n**4 - 314*n**3 - 6*n**2 - 24 wrt n?\nAnswer: -18*f - 60*n**2 + 24*n - 1884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 317*i - 391 + 391.\nAnswer: 317*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1074.5 + -1075. Put 31, k, -5 in descending order.\nAnswer: 31, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1466.5 plus -1737?\nAnswer: -3203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 4 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -89, -0.491, 89, 3\/2 in ascending order.\nAnswer: -89, -0.491, 3\/2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*l**3 - 580*l**2 - 896*l + 304.\nAnswer: -4*(l + 2)*(l + 19)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -2396 smaller than -2395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-237)\/19)\/((-10914)\/69122).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5\/12 + -1\/4. What is the third biggest value in k, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1357286 is divided by 74?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 12, -3, 1 in descending order.\nAnswer: 12, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2215*l**3 - l**2 - 716*l - 1. Let r(y) = y**3 + y**2 - 3*y + 1. Let a(k) = -j(k) - r(k). What is the second derivative of a(f) wrt f?\nAnswer: -13296*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = -43*o + 45 + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -9*x - 6. Let z be h(-6). Suppose -4*j - 12 = -z. What is the remainder when j is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of j**3\/3 + 19*j**2\/2 - 42*j - 2733. Find v such that q(v) = 0.\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*d - d = -215 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -363, -341, -317, -291, -263, -233?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9192814l to millilitres.\nAnswer: 919.2814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 23 in -0.06, 0, 2, -9\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6, c: 12}. What is prob of sequence pccc?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -171, -159, -476.5?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 3 - (1 + -35 + 28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2020166.\nAnswer: 2, 1010083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2129 is divided by 1692.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1505312 - -221?\nAnswer: 1505533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(-1\/2))\/(n*(((n**(2\/7)*n*n)\/n*n)\/n)\/n))**(-37)\/((n**(1\/9)*n**(-1)*n*n)\/(n**2*n**(2\/15))) assuming n is positive.\nAnswer: n**(-4351\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*g + 4*w = -30, 12*g - 28*w + 15 = -31*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeleleelle. Give prob of picking 2 l and 2 e.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66510?\nAnswer: 2, 3, 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 518 by -37.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230 is divided by (16\/12)\/((-1952)\/984 + 2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 27*x**2. Let d(u) = 4*u**2. Give q(d(z)).\nAnswer: 432*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z - 5. Let w be h(6). Is -2\/13 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 923 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 608, 616, 630, 650, 676?\n\"Answer: 3*t**2 - t + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 46.34651g?\nAnswer: 46346.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 183585 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -364285, -1456411, -3276621, -5824915, -9101293, -13105755?\n\"Answer: -364042*m**2 - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28340 - 28386. Are -0.9 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u + 0*u - 2*u + (-u + 4*u - 9*u)*(3 - 3 + 1) to the form a*u + s and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30142 by -2153.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -111*q - 44 - 32 + 43 + 25 to t + b*q and give b.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*q**2 + 82*q**2 - 24*q**2 - 19*q**2.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/10*-4*25\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67588 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oro when three letters picked without replacement from rrtrroorrrorrrr?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 945 and 490?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*s + 621 - 555 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 12)*(p**3 + 5*p**3 - p**3).\nAnswer: 65*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 51*d**2 - 569*d + 85. What is a(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-3)*(z*z*z**7\/z)\/z)**(-10) assuming z is positive.\nAnswer: z**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 1376 = 979. Calculate the common denominator of y\/(-180) - (-2)\/(-10) and -93\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of c**5\/3 - 19*c**4\/18 + c**3 - 348*c + 1. Factor t(w).\nAnswer: 2*w*(w - 1)*(10*w - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194 is divided by 140?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168176 is divided by 111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/((-14)\/8))\/((-142)\/497)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -306, -591, -1072, -1749?\n\"Answer: -98*g**2 + 9*g - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*p - 103*p = -828 - 928. Calculate the remainder when p is divided by -4 - (2*-22 + -4).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - u + 61 = -7, c + 4*u = 20. Suppose -c = -5*f + 2*f. What is the remainder when (10\/(-4))\/(1\/(-14)) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/3  (b) -5  (c) -0.15  (d) 1930  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.01 - -0.07. Let m = y + -0.1. Let f = m + 0.0399994. Round f to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - -8 - (-1)\/1. What is the second derivative of -2*k**3 + 11 + 0*k**3 + 17*k - t wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 - 6*z**2 + 2*z. Let w(o) be the first derivative of -o**3\/3 + 15. What is -a(d) + 4*w(d)?\nAnswer: d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 174300 by 12.\nAnswer: 14525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-26)\/(-6) + (272\/(-51) - 12\/(-2)). Let v(w) = 4. Let r(k) = -5 + 2*k + 2*k - 5*k + 0*k. Determine u*v(d) + 4*r(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 286254 and 3210354.\nAnswer: 298562922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-12)*241\/(-241). Factor q*w**3 + 169\/4 - 25\/4*w**2 + 143\/4*w.\nAnswer: (w - 13)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9301 divided by 1.\nAnswer: -9301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*d - 178 + 808. Calculate the remainder when 626 is divided by d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 78209337*i - 118115066?\nAnswer: 78209337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22544 (base 8) to base 9.\nAnswer: -14115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 2*d = 35, -3*q - q - 3*d = 118. Let a = -18 - q. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 9, i: 5}. Give prob of picking 2 y.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -339, -2\/5, -4 in descending order.\nAnswer: 0.4, -2\/5, -4, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 24\/31, 0.3, -106, 1\/10 in increasing order.\nAnswer: -106, -2, 1\/10, 0.3, 24\/31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.5600663 rounded to two decimal places?\nAnswer: -2.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 399066.5m in nanometers?\nAnswer: 399066500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 7*g + 168, -2*c + 7*c - 186 = 4*g. Solve -3*r = c*r - 45 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/6 - (-2)\/(-6). Let p = 0.15 + -0.55. What is the biggest value in -6, r, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -58\/7*w + 2\/7*w**3 - 30\/7 - 26\/7*w**2.\nAnswer: 2*(w - 15)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0413 to 3 dps.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + 24*r - 132. Let a be y(9). Put a, -5, 260 in ascending order.\nAnswer: -5, a, 260","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.035441 to three decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 37030 plus 1.3?\nAnswer: 37031.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((1*-1*sqrt(70) - sqrt(70)) + sqrt(70)))\/(-3*sqrt(90)*1).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 630, 5, -1 in decreasing order.\nAnswer: 630, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - r**2 - 21*r - 26. Calculate q(8).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11891 + -11876. Which is greater: 1\/386 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 5*c**2 + 54*c - 408. Calculate the remainder when 191 is divided by t(7).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -373 - -462. Suppose -11 = -f + 3*p, 0*f - f - 5*p = -43. Calculate the remainder when u is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 115 (base 11) to base 13.\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 7*j + 4. Let z(a) = -15*a - 7. Let f(q) = -13*y(q) - 6*z(q). Let x be 1 - (-1)\/2*-14. What is f(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15*s**2 + 1100*s - 480454?\nAnswer: 30*s + 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 u when three letters picked without replacement from jjujjfjfuffuj.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10920 = 12*w + 16*w - 0*w. Calculate the greatest common factor of w and 300.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 13706373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 601, -1 in increasing order.\nAnswer: -2, -1, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 42 + -63. Let u be w\/(-15) + (-6)\/(-10). Let m be (30\/(-3))\/(2\/(-4)). Calculate the highest common divisor of u and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 1 = -8, -67 = -n - q. What is the least common multiple of 16 and n?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 331760608 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**4\/19 + 14420*n**3\/19 - 26049658*n**2\/19 + 207648064*n\/19 - 311212824\/19 = 0. Calculate n.\nAnswer: 2, 6, 3601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 2*a + 1)*(4*a - 4*a + 4*a) as m*a + n + o*a**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.93 + -3. Which is the nearest to h?  (a) -1  (b) 0.1  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9666 - 9671. What is the fifth smallest value in k, -1, -3, 2\/31, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -114?  (a) -3  (b) 3  (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 229 + 3889 = -5*v, -2462 = 3*v + 2*w. Let c = -481 - v. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -1896*p + 1789. Is t(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 59 = -0*o + 3*o, -57 = -5*t + 4*o. Let v be (t\/26)\/((-1)\/8). What is the fourth smallest value in v, 2, 3, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28 and 647269.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 12*j + 4. Let d(q) = 2*q. What is 20*d(b) - 3*u(b)?\nAnswer: 4*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -4, -286, -5 in decreasing order.\nAnswer: 10, -4, -5, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(128) + 3 - sqrt(128)) - sqrt(128))**2 - sqrt(128)) + (1 + sqrt(96)\/sqrt(3))**2.\nAnswer: -48*sqrt(2) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -394, -802, -1214, -1630, -2050, -2474, -2902?\nAnswer: -3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 250513 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 35 - 3*b - b + b. Is 5 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 6*j**2 - 44*j + 15. Let a be v(7). Solve a - 2 = -z + c, 24 = -z - 4*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -63676 or -63677?\nAnswer: -63676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-22))**10*(u**(-1\/10)*u)**(19\/2) assuming u is positive.\nAnswer: u**(4771\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -714690 + 12821485\/18. Let w = 2386 + y. Let h = 185365\/12 + -15435. Find the common denominator of w and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 22*m + 20. Let o(j) = -4*j - 4. Let x(a) = -2*c(a) - 11*o(a). Let q(b) = 2*b. Calculate x(q(y)).\nAnswer: -8*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1606784?\nAnswer: 2, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 49733969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 600998 is divided by 50078.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s + 1. Let c(t) = -5*t + 7. Let p(i) = -1. Let n(q) = -c(q) - 4*p(q). Give 3*m(f) + n(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**4\/4 + 14*o**3\/3 - 6*o**2 - 8*o + 2. What is the units digit of x(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1363, -2699, -4045, -5401, -6767, -8143, -9529?\nAnswer: -10925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 9.689  (b) 4  (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -3\/2, 149319, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 4 = -2*g. Let o = g + -3. Let n be (-2 + 3)\/(o\/(-2)). Solve b + n*b - 12 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**3 - 6*n**3 - 9*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -1. Let u be k\/1 - (0 + -3). Solve 0 = -2*l + u*j - 0*j - 20, -3*l + j - 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*s**4 - 2491*s**2 + 718*s - 162468784 wrt s.\nAnswer: -36*s**3 - 4982*s + 718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 PM and 10:43 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -29, -64, -113?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7697*g + 7661*g - 2*g**3 - 15374*g.\nAnswer: -2*g**3 - 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 250\/(-4)*(3 + 8712\/40). Is 49 a factor of (-1)\/11 + 10*m\/(-176)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1436)\/240 - 4\/(-12) and (-156)\/(-16)*12\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15427389?\nAnswer: 3, 5142463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -102870515.9 to the nearest 100000.\nAnswer: -102900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51 + 17*r**3 - 29 + 16*r**3 + 11*r**3.\nAnswer: 44*r**3 - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 31208\/2773611*(-6)\/8?\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -217*m**2 + 347*m**2 - 202 - 204 + 616 - 210.\nAnswer: 130*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 476 + -477. Let v = 17 + -26. Let d = 14 + v. Sort d, -2, c in descending order.\nAnswer: d, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -221*n**2 - 782*n - 683. Calculate k(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/49 and 5\/973.\nAnswer: 6811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 55*(-13)\/(-143) - ((-56)\/(-4) + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g**2\/8 - 8109*g\/4 = 0 for g.\nAnswer: -5406, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-20) - (-5706)\/1140) + -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.547  (b) -0.02  (c) 18.3  (d) 0  (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-14) + 2\/(-7). Suppose 2*g + k - 8 = u, 0 = 3*g - 3*k - 0 + 6. Let r = -4817 - -4813. Sort 0.6, g, 4, r.\nAnswer: r, 0.6, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1062753 is divided by 815?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 123a6 + -17308?\nAnswer: -4a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*n**4 - 16*n**4 + 5*n**4 + 2*n**4 + n - n**3 as c*n**2 + r*n**3 + w*n**4 + b + t*n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*b + 18 = -3*s + 124*b - 57, -14*b = 2*s + 62 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 47 and 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4080 is divided by 2026?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-280)\/24 + 5\/(-15). Let h be z\/9*((-51)\/(-18) + -3). Sort h, 1, -0.67 in ascending order.\nAnswer: -0.67, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160) + sqrt(160) + (sqrt(160) - 2*sqrt(160) - sqrt(160))*3 + -4*sqrt(160)*1)\/(sqrt(405) - -5*(sqrt(30)\/sqrt(6) - sqrt(5))).\nAnswer: -32*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20577863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 194071176 and 702.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -395*d**3 + 0 + 2*d + 2 - 1 + 892*d**3 - 3 in the form a*d + l + c*d**2 + v*d**3 and give v.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1053\/(-6) - 1\/(-2). Let u = -450921\/2 + 225287. Is u <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z + 24. Let w be y(-5). Let r = 2 + w. What is the remainder when 30 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2178 and 155070?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 3*v + 8. Is (-3)\/(v\/26) + 2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - (9 - 0 - (-14 + 23 + -5))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -244, -1984, -6710, -15916, -31096, -53744?\nAnswer: -85354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -50, -82, -116, -152, -190?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -556 = 5*j - p - 1577, 4*j - 815 = -p. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -1, 5, 9, 36 in decreasing order.\nAnswer: 36, 10, 9, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -554, 1, 5, 2, -4 in increasing order.\nAnswer: -554, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*z + 21*z - 924 = 70 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 3066980 - 455910. Suppose -a - 537786 = 2*l. Round l to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -4 - 1 - 1*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2888*x + 888 = 2912*x for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2522715\/37 or 68181?\nAnswer: 68181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**13\/t)**47*t**4\/t**(-30) assuming t is positive.\nAnswer: t**645","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/(-108))\/((-2)\/2). Let q(i) = -i - 3. Let l be q(-3). Let f = l - 1. Is k smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that r**3 - 2*r**2 - 24*r = 0.\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - 2 - (-5 + -4 - -16) - -4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(190) - 2*sqrt(190)*5)\/(sqrt(10) - sqrt(40)*1 - sqrt(10)))**2.\nAnswer: 1539\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**2\/13 - 889468*o\/13 + 1778944\/13 = 0. Calculate o.\nAnswer: -444736, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 180\/50 - (0 - 1*-4). Put 1, -0.5, a in descending order.\nAnswer: 1, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 12) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-608)\/(-64) - (2 - -6). Let r(z) be the first derivative of d*z**4 + 0*z + 0*z**3 + 6 + 5*z**2. What is the second derivative of r(y) wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 96206715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = -3*f + 3*h, 2*h - 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 382 + y - 2*y - 763 + 381.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from bjjqbbbhbbjbbjjbbxj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 - r + r)*(-4*r**2 + 3*r**2 + 0*r**2) - 4 + 4 + 4*r**4 - r + 19*r**4 - 38 + 38.\nAnswer: 25*r**4 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 7, f: 2, m: 4, o: 1}. Give prob of sequence mmmm.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5966, -5948, -5930, -5912?\nAnswer: -5894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of g**5\/60 + 139*g**4\/4 + 12*g**2 + 4*g + 4. Factor x(y).\nAnswer: y*(y + 834)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26.95772 to 2 dps.\nAnswer: 26.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 31049 and 0.5?\nAnswer: 15524.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 3*i + 4 = -7, 5*x + 12 = 2*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-13\/5)\/m*m)\/(m*m**(-6)*m) assuming m is positive.\nAnswer: m**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/22 and -23\/118.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-105)\/(-33) - (-86)\/(-473).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1116390397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 72565741 less than or equal to 72565741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 81 = 21. Let w be (-4)\/(f\/27) + 0. Suppose 0*a = 3*a - w. Calculate the highest common factor of 21 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 60\/100 + (-47)\/(-5). Calculate the common denominator of (-599)\/144 + t\/45 and 17\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 10*p - 18, -2*p = -3*p - 3*n - 9. Let h(v) = -33*v**3 - 11*v**2 + 11. Let f(g) = -8*g**3 - 3*g**2 + 3. Calculate p*h(l) - 11*f(l).\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2582\/(-14) - 2\/(-2). Let q = 184 + o. Put 0.4, 6, q in decreasing order.\nAnswer: 6, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from vyyyyvvl?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27 + -27. Suppose 16*y - 21*y - 8050 = r. Let n = y - -768. Round n to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p + 87 - 320 + 14 + 116)*(-3*p + 3*p - p)*(p**3 + 3*p**3 + 0*p**3).\nAnswer: 16*p**5 + 412*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**3 + 893*w**2 - 532*w - 356.\nAnswer: -(w - 178)*(w - 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77 and 5423?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/35995652 and -81\/24604.\nAnswer: 35995652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1\/24, 0.1.\nAnswer: 1\/24, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 37968128 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that s**4 - 1464*s**3 + 7282*s**2 + 18960*s + 10213 = 0.\nAnswer: -1, 7, 1459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 14800.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xkxxkxk. Give prob of sequence kk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*f**3 + 773*f + 5 - 3 + 26*f**3 - 13*f**3 as m*f**2 + o + p*f**3 + b*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.5  (b) 1\/12  (c) 32\/3  (d) 4  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00520986 rounded to five decimal places?\nAnswer: 0.00521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 249, 6, 2 in ascending order.\nAnswer: -4, -3, 2, 6, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9009893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 - 3*h**2 + 4*h + 3. Let l(i) = i**3 - 2*i**2 - 3. Let y be l(2). Give v(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 + 8*u**2 - 6. Let m = -29 + 21. Let w be y(m). Is 2*w\/16*-44 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11678.3919 minutes to weeks.\nAnswer: 1.158570625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 158130, 158162, 158218, 158310, 158450, 158650, 158922?\n\"Answer: 2*o**3 + 18*o + 158110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 304988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t - 8. Calculate b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 128626132*n**5 - 8335726*n**2 wrt n?\nAnswer: 7717567920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37861, -36530, -35197, -33862, -32525, -31186?\nAnswer: -29845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - -4)\/(-1)*3. Let v be (-7)\/(-6) + -1 + 21\/f. Which is smaller: v or 46?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9080.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of -i**4\/12 - 3*i**3\/2 - 2*i. What are the prime factors of s(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97075801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2946763.8 microseconds to days.\nAnswer: 0.0000341060625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53997 is divided by 26984.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 254 - 176. What is the remainder when y is divided by 55?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10016 (base 7) in base 15?\nAnswer: -aae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (771*m**2 + 2370*m - 2370*m)*(-7 + 12 - 3).\nAnswer: 1542*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*i + 7*i + 20*i = 285. Let z(n) be the first derivative of 31\/2*n**2 + 26\/3*n**i + 0*n - 18. What is the second derivative of z(h) wrt h?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + j - 15 = 0. Let z = 25 + -9. Let n = 27 - z. Solve -4*o - 4*g + n = -j*o, 5*o - 5*g = -45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 1:48 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 11209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4578312830 to the power of 1\/2, to the nearest integer?\nAnswer: 67663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of -c**4\/3 + 78*c**3 + 92*c + 3. Solve h(z) = 0 for z.\nAnswer: 0, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-172)\/(-32) - (1 + 2) and -77\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 708196?\nAnswer: 2, 47, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 116 = -c + 5, 0 = 5*c + 5*b - 620. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-3) - 50*((-26)\/162 - (-57)\/342)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/32 and 15\/(-6)*(-1)\/(-6).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9696 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, a: 2, o: 2}. What is prob of picking 2 a and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 7) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -26*t**3 - 5*t**2. Let s be (7 - 27)*(-2)\/(-8). Let d(a) = 65*a**3 + 13*a**2. What is s*d(z) - 13*r(z)?\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170*u + 1401 - 516 = 205 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 3521348.87 to the nearest ten thousand.\nAnswer: 3520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r**3 - 13*r**2 + 9*r - 24. Let k be i(6). Let f = 1553 - 1429.7. Let y = -123 + f. Put y, -2\/11, k in ascending order.\nAnswer: k, -2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*h - 4 = 0. Suppose -5*g = -h - 44. What is the greatest common divisor of 36 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6798 - -16591. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 218*s**2 + 9*s - 70*s**2 - 73*s**2 - 23*s + 55 - 76*s**2. Give m(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 680 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -115, -530, -1231, -2218, -3491, -5050, -6895?\n\"Answer: -143*a**2 + 14*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17*(-111)\/1258*(-8)\/84?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5*-8*(-1)\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 - 11 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*c + 45*x - 44*x + 1, 3*x + 3 = -4*c. Sort -1, -4, 2, c in descending order.\nAnswer: 2, c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 - 13101*l - 117827. Give o(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 77245075837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132105362 divided by -28514.\nAnswer: -4633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77422093 is divided by 8602454.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of z**4\/4 - 5*z**3\/3 + 3*z**2\/2 + 2*z - 1116. Let t be (-4)\/2 + 4 + -5. Let s be (-2 - (-3)\/3)*t. Determine r(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 127712771 + -2?\nAnswer: 127712768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -7*v**2 - 37*v + 4. Let h be n(-5). Suppose 5*q + 4*t - 178 = 0, -2*q = -h*t + 13*t - 66. Calculate the greatest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -8138  (b) 2\/7  (c) -0.3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300*c + 1376 - 9224 - 3465 + 213 = 0 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 861295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) + 1*sqrt(68) + sqrt(68))*-6 - 5*(sqrt(68) - (-1*sqrt(68) + sqrt(68)) - sqrt(68)))\/(sqrt(484) - 1*sqrt(484)*2).\nAnswer: 18*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of 16*a**3\/3 - a**2 + 7*a + 315. Does 14 divide p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**3 + 6*c**2 + 7*c - 6. Calculate i(5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 42141 (base 5) to base 2\nAnswer: 101011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -20\/27, 0.4, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, t: 4, n: 2, d: 2}. What is prob of sequence dn?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + v + 5*p = -31, v - 3*p - 5 = 0. Let h be (-110)\/v - (-2)\/(-4). Suppose -5*u + 223 = -h. What is the highest common divisor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 266 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {w: 1, a: 1, q: 2, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2207 - 57385\/26. Let p be (-4)\/(-10)*(-3)\/6. What is the second biggest value in -1, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1575871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56.90212 decades to months.\nAnswer: 6828.2544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9*((-21)\/9 + 2). Suppose 2*l - 52 - 50 = -5*j, -j = -l - 19. What is the smallest common multiple of j and -1 + t - (-3 + -9)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -r**3\/3 - 7*r**2 - 15*r + 8. Let p be f(-13). Let u be p\/(19\/(-9) - -2). Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 15 = 3*g, 2*g - 15 = -4*k + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**3 + 3*u**3 + 6*u**3 + (-u**2 - 2*u**2 + u**2)*(0*u - u + 2*u) + (2*u - 2*u**2 - 2*u)*(6*u - 3*u - 9*u) - 2*u**3 + 0*u**3 + u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 4*p - 8*p + 4, 2*p = 4*k - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 314487 or 314359?\nAnswer: 314359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-1 + (-30)\/(-28)). Let s = -3 - y. Suppose -15 = r, 0 = -4*o - 95*r + 96*r + 89 + 10. What is the remainder when o is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 102302 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1639*y**4 - 289*y**3 - 9970180 wrt y?\nAnswer: 6556*y**3 - 867*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 491820 is divided by 572?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rbvcrrvvovrrsvrv. What is prob of picking 2 v and 1 s?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8206896 and 1008?\nAnswer: 172344816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 182\/(-60) + (750\/180)\/(-25)\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -494 - -497. Solve 31 = 4*k - v*s, -5*k + s + 13 + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 46031*w**2 - 23392*w**2 - 23021*w**2. Let i(o) = 13*o**2. Calculate i(b(v)).\nAnswer: 1897012*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.381 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 15) to base 2.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9108517 is divided by 1731.\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 5*o - 17*m + 21*m, -16 = 4*o - 2*m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*l + 30854474 = -10*l + 129*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33.2 - 36.2. Let x = 1.3 + -5.3. Which is the nearest to 2\/5?  (a) 0.1  (b) p  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 3*u = -6, 2*x - 10 = 4*u + 6. Suppose n + 3*n = -4*v + 24, -4*v + 31 = -3*n. What is the remainder when v is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 67.1647535 to two dps.\nAnswer: 67.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 335.\nAnswer: -6\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.71 and -5?\nAnswer: 8.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*c - 360 = 42*c + 4*a, -3*c + 384 = 4*a. Suppose 5*d + z - 1548 = -0*z, -4*d - 5*z = -1230. Calculate the greatest common divisor of c and d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h. Let m(r) = -2*r**2 - 54*r - 2. Let s(v) = -m(v) - 4*w(v). Let p be s(-25). Suppose 33 = p*a - 1. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = d - 5*x, -4*d + 7*x - 3*x = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 - 51 - 5 + 10 = 5*n - 25*f, -6*n + 5*f - 40 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4740947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 - 5*u**2 - u + 6. Let w be y(5). Find the second derivative of x + 1 - w - 3*x**4 + x wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-27))\/(((-26)\/(-91))\/((-2679)\/658))\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 29949 and 1005?\nAnswer: 149745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 48796 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -4 + 2*h**2 + h + 0*h**2 - 2 + 5. Let x(m) = m**2 + 3. Let b(z) = 5*z**2 + 13. Let l(w) = 2*b(w) - 9*x(w). Let r(k) = 4*a(k) - 7*l(k). Factor r(i).\nAnswer: (i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - (1 - 1) - -670. Suppose 159*x = 183*x - 5760. Suppose -m = -3*u - x. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 267746089.\nAnswer: 13, 53, 79, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 0 + sqrt(2800) + -3*(sqrt(1792) + 2) + sqrt(1792))**2.\nAnswer: 72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (61*i**4 - 25*i**4 + 31*i**4)*(5 + 0 - 1).\nAnswer: 268*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 334169.\nAnswer: 11, 17, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 473290 by -95.\nAnswer: -4982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -441 (base 7) to base 15.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -2*b - 20. Let l = b - 6. Suppose l*u = -u. What is the nearest to u in -0.3, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - 1. Let g(y) = 5*y**2 - 3*y. Let v(r) = g(r) - 3*j(r). What is the remainder when v(-3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 345 a factor of 12146070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -35*a + 510. What is j(15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**3 + 14*l**2 - 3*l - 1. Let a be b(-6). What is the third derivative of a*d**6 - 42*d**6 - 2*d**4 - 32*d**2 + 2*d**4 wrt d?\nAnswer: 5640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -858.\nAnswer: -858, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 159809175 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 101*v**2 + 12*v - 3. Let d be t(1). What is the first derivative of 214 + 90 + s**2 - 7 - d*s**4 wrt s?\nAnswer: -440*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44505+681569015\nAnswer: 681613520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**2 - 2*x**2 + 6*x**2 - 2*x**2 + 5*x**2 - 4*x**2 + (-4*x + 4*x + 3*x)*(0*x - 5*x - 5*x) - 2*x**2 + 4*x**2 - 4*x**2.\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*o = -42*o - 5*a + 45, -5*a + 40 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 86 - 82. What is the remainder when 13 is divided by -3 + 6 + s\/(-2) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1084, 4, 0 in ascending order.\nAnswer: 0, 4, 1084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 1 - (2 - 7) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*r + r + 11*c - 16*c - 24, 5*r = 31*c + 119 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -4 - -2 - 1 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 y when three letters picked without replacement from hkaydhkwdaykkh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**3 + 179*h**2 + 105222*h = 0 for h.\nAnswer: -247, 0, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Round 6510 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - 10\/1)\/(-3). Suppose g = -3*m + 14, -5*m - 4*g = -k*g - 23. Calculate the least common multiple of m and 12 - (-1*1)\/(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 2)*(1 - 1 - k)*(4*k**2 - 3*k**2 - 3*k**2) + 6*k**3 - 247*k**3 - 245*k**3.\nAnswer: -484*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69449, 139457, 209465, 279473, 349481, 419489?\nAnswer: 489497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, u: 5, h: 3}. What is prob of picking 1 h, 1 z, and 1 k?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -u - 431396 + 431622 + 3*u**4 + u**4 as f + k*u + b*u**3 + z*u**4 + y*u**2 and give f.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281 is divided by 277.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2152551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g\/g**(4\/3))\/g)\/g)\/g)**(-2) assuming g is positive.\nAnswer: g**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149, -609, -1369, -2423, -3765, -5389?\nAnswer: -7289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 3013?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*b**4 + 0 + 0*b**3 - 1\/4*b + 1\/4*b**5 + 1\/2*b**2.\nAnswer: b*(b - 1)**3*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 306290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 101010110000111 (base 2) to base 10\nAnswer: 21895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/2913 and 45\/461359969.\nAnswer: 1384079907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -31*q**2 + 889*q - 58. Let g be s(29). Is -338 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4959 or 4956?\nAnswer: 4959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 3:22 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 499 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 35352*l + 27*l**2 - 35352*l. Let t(u) = 4*u**2. Give t(n(i)).\nAnswer: 2916*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -3*n - 2*u, -2*u + 1 - 7 = 0. Suppose -4*v + f = -3*v - n, -46 = -4*v + 2*f. Calculate the highest common factor of 48 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 251*l = -253*l + 26, -5*r = -3*l - 38. Solve 0*u + u = -r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/7  (b) 582  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2057595 and 145242.\nAnswer: 12345570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + 1224?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(114)\/sqrt(2))\/sqrt(3) - (sqrt(19) + sqrt(95)\/sqrt(5) + 5))*1)**2.\nAnswer: 10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2830 = 20*l - 9870. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i**3 - 2*i**2 + i**2 + 1 - 1 to u + j*i**3 + c*i**2 + y*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of 5*x**4\/12 - x**3 + 3*x**2 + 162*x. Let m(d) be the first derivative of d**3\/3 - d**2\/2 + d + 11. Give 6*m(h) - z(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2120112 (base 3) in base 10?\nAnswer: -1877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41085\/97405 + 890\/(-2047).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 + -10. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 9 + (1 - 7) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 7*h**2 - 9*h + 15. Is 6 a factor of w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-635)\/(-9 - -4) - 2 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -249411*c*x - 553572*c wrt x?\nAnswer: -249411*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 0.3 in decreasing order.\nAnswer: 0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 848304?\nAnswer: 2, 3, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/((c**(-3)\/c)\/c))**(35\/3))**(-3\/2)*(c\/c**4*c*c*(c**(4\/11)*c)\/c*c)\/(c**(-1\/4)*c*c*c*c*c**(2\/15)) assuming c is positive.\nAnswer: c**(-71623\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4182.1 rounded to the nearest 10?\nAnswer: -4180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 910 divide 60868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50944 divided by 12736.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4904 + 13438. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**4)\/(o*o**(2\/7)))\/(o**(1\/6)\/o**(-6\/13)) assuming o is positive.\nAnswer: o**(1685\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((1\/(-35))\/(28\/98)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 187 = -4*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 202*f**2 + 129*f**2 + 349082*f + 349080*f - 698162*f.\nAnswer: 331*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 0*u + 16 = 0, -4*u = 2*t - 76. Let v be 2*1\/(-3) - 56\/(-21). Solve -4*b - 8 = 0, 4*g = -3*b - v*b - t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 11) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8.3 - -6. Let x = 1.3 + s. What is the nearest to -1\/3 in 2\/7, -2\/5, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3064 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20, -91, -218, -407, -664, -995, -1406?\n\"Answer: -w**3 - 22*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (33\/(-20))\/(119634\/119292 - 1). Let q = l - -1151\/2. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of -h**6\/240 + 7*h**5\/120 - h**4\/4 - 4*h. Let f(t) be the third derivative of l(t). Calculate f(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3827000850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - -20. Let t = -16 + c. What is the remainder when 28 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309799.1 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + h - 6*h = 0, 2*q = -h + 6. Let b(p) be the first derivative of -q + 0*p - 1\/3*p**3 + 1\/2*p**2. Factor b(i).\nAnswer: -i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(51)\/sqrt(3))**2 - (sqrt(17) - (3*sqrt(17)*1 + sqrt(17)))) + 2.\nAnswer: -3*sqrt(17) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - 11. Suppose -u = 2*f - 6. Calculate the lowest common multiple of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f - 36 = 9*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -o + 3*d + 3, o + 3*d - 5*d = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23294 and 289336?\nAnswer: 5497384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2054300 (base 6) in base 7?\nAnswer: 566526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33574 is divided by 8391?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5123 (base 9) to base 3\nAnswer: -12010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2519 and 1453005.\nAnswer: 15983055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1 = 5*f - 10, -4*f + 5*u + 19 = 0. Let h be (-246)\/(-21) - f - (-8)\/28. Solve h = -2*y + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 55*u. List the prime factors of r(1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxbxxxxbbxxx. What is prob of picking 1 x and 2 b?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m - 48 + 97*m + 48 + 105*m.\nAnswer: 197*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -97*o**7\/21 - 105*o**3 + 31*o**2 + 5*o. What is the derivative of d(s) wrt s?\nAnswer: -3880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from egkggzkkkehge. Give prob of picking 1 k and 1 e.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-399)\/(-665))\/(28\/20).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1185 is divided by 1106?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 253304 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + 12*p - 7 to the form r + o*p and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 3*v + 3*z - 10, 0 = -z + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 110221220302 - -11?\nAnswer: 110221220313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**5*k)\/k**2*k**(4\/5)\/(k\/k**(1\/3)) assuming k is positive.\nAnswer: k**(62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 + 4*k**2.\nAnswer: -4*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 2*k**4\/17 - 360592*k**3\/17 - 360598*k**2\/17 + 721188*k\/17 = 0.\nAnswer: -2, 0, 1, 180297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (-12 + 11 + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1cd0 + -192?\nAnswer: 1b3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vuuuexuxxxuvxxxx. Give prob of sequence vx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5497.965 nanometers to micrometers.\nAnswer: 5.497965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of -2*d**6\/3 - 2756*d**5\/5 - 115543*d**4 + 4317892*d**3\/3 - 5824112*d**2 + 7795264*d + 6698. Let y(k) = 0. What is k?\nAnswer: -349, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187972 is divided by 46681?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from twwxwwfft. What is prob of sequence ww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-93)\/3 + (-12)\/(-4). Let g be p\/3*3\/(-2). Factor 3*t + 32*t**2 - g*t - 4*t - 35*t**2.\nAnswer: -3*t*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, 2\/9, 1\/5, -294, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.93 + -6.93289. Round r to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z. Let k(m) = 4*m**2 - 2*m**2 + 2*m**2. Determine k(p(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3456) + -1*sqrt(3456))\/((-2*sqrt(64))\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 + 8*s - 12. Let z be v(8). Is -12 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 5*c + 228. Let u(m) = 3*m + 216. Determine -3*o(y) + 4*u(y).\nAnswer: -3*y + 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.072  (b) -1  (c) 0.3  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**2 - 301*l. Let z(k) = -1760*k. Give z(c(i)).\nAnswer: -3520*i**2 + 529760*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13027 = -499*i - 3047 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -10 + 25 + 0 + 3. Let d = i + -6. Calculate the greatest common divisor of 84 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111336 divided by 2?\nAnswer: 55668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 141352531517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = p - 0*p. Let x = 6 - p. Let c be (-3)\/(-15)*-4*(1 + -6). Solve x = -c*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 229, 224, 221, 220?\n\"Answer: t**2 - 8*t + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-144)\/256*4*16\/(-6) and 984?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 + 2 + 0)*(-2*z + z - z) + 5 - z - 5 - 9*z + 3*z - 14*z)*(12 - 4 + 111) as c + a*z and give a.\nAnswer: -2261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/(0 - (2 - 0)). Let k(r) = 4999*r + 8. Let h be k(y). What is h rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -m + 6. Suppose 2*c = m*c - 18. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -209 - -6?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3621\/(-357)*3\/((-3)\/134). Let d = c - 1358. Factor 0 - 2\/7*t**5 + 24\/7*t**2 - d*t + 12\/7*t**4 - 26\/7*t**3.\nAnswer: -2*t*(t - 2)**2*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/1303495 or -1?\nAnswer: -2\/1303495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((3*(sqrt(175) - 2*sqrt(175)) - sqrt(175))**2 + 1) + (sqrt(63)\/(sqrt(45)\/sqrt(5)) + sqrt(7) + (-1 + sqrt(7))*-2)*-1.\nAnswer: 14003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -89\/3?  (a) -1  (b) 3  (c) -2179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*i - 50*i**3 - 9*i + 3*i.\nAnswer: -50*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 AM and 5:17 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 11) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*h**2 - 26*h**2 - 27*h**2 + 84*h**2 + 15.\nAnswer: 3*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b**3 + 4*b**2 + b + 2. Let g(l) = l**3 + l**2 + l + 1. Calculate 3*g(a) - y(a).\nAnswer: 5*a**3 - a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 495 and 76394835.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 7*a + 8. Let f be z(6). Let s(v) = 0 - 1 - 3*v**f + 2*v**2 + 5*v + 2*v**2. Suppose -44 = -2*x - d - 55, 3*d + 6 = 3*x. Determine s(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 4*g + 1 - 9, 2*m - 13 = -5*g. Solve -4*t - m = -2*f, -t + 8 = -7*f + 2*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1363 and 2397.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 161770881?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0\/3)\/2 + 0. Let v be (4 - 0) + b - 126. Let a = -86 - v. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*r - 80*r = 5*w + 10, -5*r - 4*w + 10 = 0. Solve u = -2*l + 1 + 3, 0 = -r*l - 3*u + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 32\/10*40\/16. Differentiate -4 + 7*c + a*c - 8*c wrt c.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 1 = 26. Suppose -m*n + 4 = -61. Calculate the remainder when 8\/(-36) + 454\/18 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggggwwrgr. Give prob of sequence rww.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 divided by 1?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6230088 + 3?\nAnswer: -6230085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 52708961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 177, 1235, 4177, 9969, 19577?\nAnswer: 33967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 - 4*d + 5. Let q be s(6). Suppose 0 = l - 2*h - 11, -4*h + q = -5*l + 48. Solve 5*z = l*o + 7 + 1, o - 24 = -5*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6915249.\nAnswer: 3, 11, 23, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58905 divided by -17.\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -23, 7 in decreasing order.\nAnswer: 7, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 + 14*f**2 - 5*f - 26. What is the least common multiple of 22 and l(-14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 28 + 10 = -3*s - 5, 5*d - 3*s + 78 = -11*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -7*s**4 - 12*s**3 - 20*s**2 + 43*s + 72. Let d(l) = -6*l**4 - 12*l**3 - 18*l**2 + 44*l + 72. Let w(r) = -5*d(r) + 4*g(r). Factor w(i).\nAnswer: 2*(i - 2)*(i + 2)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -77 - -80. Let m(p) = 4*p - 2. Give m(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**4\/10 + 49*b**3\/10 - 1186*b**2\/5 + 864*b = 0 for b.\nAnswer: -80, 0, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -57 + 247. Let c = -80 + 195. Let z = x - c. Calculate the remainder when z is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -493*m + 488*m + 30, -3*m - k + 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 41  (b) 2\/7  (c) 12  (d) 6  (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and -579597.05329492.\nAnswer: -579599.05329492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1560 + 1536. Suppose -3*k - 2*d = -18, 1 = 2*k - 4*d - 11. Suppose 4 = -2*q - k. What is the second biggest value in i, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -212120300 (base 4) to base 7.\nAnswer: -1223255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19430 and 59964866.\nAnswer: 3886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2 + 3056344*x - 583827415396.\nAnswer: -4*(x - 382043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/(-36) + (-7)\/(-9). Let u be (-29)\/2*-2 - c. Suppose 113 + u = 3*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 2*q + 13. Let z be f(3). Let m be ((-21)\/63)\/(z\/(-258)). Let x = -35 - m. What is the remainder when 14 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dyxamtyxatmmmy. What is prob of picking 1 x, 1 t, 1 m, and 1 y?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 416783657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -645033 divided by -5079?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y**2 + y**3 + 107 + y**3 - 109 to c*y + v + r*y**3 + o*y**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -228.8 + 229. Which is the closest to 2?  (a) -2\/7  (b) -27  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/2*(-25224)\/3153?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the second derivative of -j**3\/2 - 11*j**2 - 7*j. Let l be u(-9). Suppose -m = -3*d + 2*m + 159, l*m = 4*d - 215. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3136836 (base 9) to base 11\nAnswer: a46875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n**3 - 3*n**2 + n + 7. Let s(b) = -3*b**3 + 6*b**2 - 3*b - 15. Let u(a) = 2*s(a) + 5*y(a). What is the units digit of u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14277 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 140*r - 297*r**2 - 84*r**2 - 157*r.\nAnswer: -381*r**2 - 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -126*l**2. Let g(j) = -34*j**2 - 9. Give g(i(k)).\nAnswer: -539784*k**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 581.9074 millilitres?\nAnswer: 0.5819074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 907?\nAnswer: -4535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001093 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/158956 and -85\/9604.\nAnswer: 7788844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01231481359 rounded to 5 decimal places?\nAnswer: 0.01231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.007?  (a) -3.9  (b) 2\/7  (c) 292\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -250, -239, -214, -169, -98?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 178993090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -5*j**4 + 95*j**3 - 170*j**2 = 0.\nAnswer: 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 37 - 37 - 7*h**3 + (3 + 0 - 2)*(3*h**3 - h**3 - 4*h**3) as x*h + l*h**2 + t + d*h**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 48*m**3 + 11493308*m**2 + 688000191856*m - 57333429136 = 0. Calculate m.\nAnswer: -119722, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 69 = -3*t, -167*n - 4*t + 456 = 143*n - 582 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -160*u + 1084. What is i(6)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7320, 7322, 7326, 7332, 7340, 7350?\nAnswer: 7362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/36)\/(7*32\/5376).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(((-1224)\/(-32))\/17).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 33410.85 meters in millimeters?\nAnswer: 33410850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 3:14 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, -32, -99, -214, -389, -636, -967?\nAnswer: -1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**7\/l)\/(((l\/l**0)\/l)\/l*l)*(l*l**(1\/40))\/l*l\/l**(1\/3))**45 assuming l is positive.\nAnswer: l**(2409\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 60\/16*(-4672)\/(-48). Is u greater than 366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7761939.\nAnswer: 3, 359, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 times 15?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-21)\/6 - 1)*5\/(-105). Let z = -10 + 18. Let t be (-13)\/z + (-9)\/(-6). What is the biggest value in c, -2\/15, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -4*t**2 + 2*t - 6. Let b(n) = 3*n**2 - n + 5. Let r(j) = 3*b(j) + 2*f(j). Let h be r(0). What are the prime factors of h\/(-18)*2*-102?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 152 = -14*z + 222 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**3 + 6*p**3 + 0*p**3)*(-2*p + 2*p - 3*p) + 3*p**3 - 3*p**3 - 2*p**4 + 6 - 3*p**4 + 3*p - 3*p.\nAnswer: -20*p**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2. Suppose 10*f = 2*f + 24. Let c(p) be the second derivative of 0*p**2 + 0*p**f - 1\/4*p**4 + 2*p + 0. What is q(c(h))?\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*o - 3 = 33. What is the nearest to o in -5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13692 is divided by 4545?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -130.89 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*z - 0. Find n such that 0 + z*n - 4*n**2 + 3\/2*n**3 = 0.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.8 in 2\/17, 2\/3, -2\/7, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -642, -1124, -1606, -2088?\nAnswer: -2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*v**2 + 10 - 16*v**2 - 154*v - 135*v - 136*v + 436*v to r + s*v + a*v**2 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = 2*w - 26, -4*w - 8 = 3*k - 17 + 2 + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7102 = -3064*r - 1215*r - 196320 + 23704 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1075502 (base 9) to base 15\nAnswer: b7415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 240032250 to the nearest integer?\nAnswer: 15493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 98, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -47d7e (base 16) to base 12\nAnswer: -122366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -8*v**3 - 3*v**2 + 3*v. Let h be b(-3). Suppose 0 = -6*y + 3*y + h. Let t = y + 47. What are the prime factors of t?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*g**3 + 81 - 36*g**3 - 81.\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 15*j + 12. Let g be f(0). Let q(b) = b**2 - 13*b + 15. Give q(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1 + 3 - 2*i**4 + 5*i**4 + i**4 wrt i?\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {c: 2, d: 3, u: 1, k: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 8272 = -2*i - i, -3*i = -3*d - 8292. Suppose i + 1232 = 2*w. Suppose 0 = -11*t + 7*t + w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4211 = 3*y - 4406. Let o be (-1)\/2 + 27\/2. What is the highest common factor of o and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w. Let d(y) be the third derivative of 5*y**4\/24 - 12*y**2. Determine -4*d(v) + 18*h(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - (29 + (3 - ((-2 - 8) + 23)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 6 - n**3 + 2*n**3 + 0.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) -0.33  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*u = -826, 3*u - 3 = -0. List the prime factors of s.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide (-4)\/(-10) - (4 - 2232\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/7 + 24\/(-14). Let r = -90 - -87. What is the third smallest value in r, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + -3 + 2 - 2. Is ((-50)\/4)\/(2\/f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 12*v**3 - 39*v**2 - 2*v - 32389?\nAnswer: 36*v**2 - 78*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1589 and 657909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 - 17 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 170, -10, 1 in descending order.\nAnswer: 170, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147) + -2)*1 - ((-2 + -1*sqrt(147) + sqrt(147))**2 - sqrt(147)).\nAnswer: -6 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -0.1, -0.3 in decreasing order.\nAnswer: 0.4, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 9. Let s(a) = -v*a - a + 2*a + 2*a. Let u(q) = -2*q**2. Calculate s(u(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-210)\/135 - ((-15915)\/945 + 13).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -4. Suppose n + 22 = 5*a, -5 = 5*n - 6*a + k*a. Calculate the smallest common multiple of n\/1 - (8 - 7) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 10 = 4*o, -5*o - 3*s + 8 = -3. Suppose -o*w - 4 + 35 = -3*c, 4*c = -4. Solve 0 = 2*j - w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78869 divided by -21.\nAnswer: -11267\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 118201777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + p)*(3*p**3 - 2*p**3 - 3*p**3) - 2*p**4 + 2*p**4 - 2*p**4 - 119620*p**3 + 3*p**4 + 119620*p**3 - 3 - 26*p.\nAnswer: -p**4 - 26*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 429*-36.45.\nAnswer: -15637.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/2)*z\/((z*z**(-1\/2)*z)\/z*z))\/(z**(-3)\/(z*(z\/z**(-9\/5))\/z)) assuming z is positive.\nAnswer: z**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -12007*y**4\/12 + y**3\/3 + 1068*y**2 - y + 1838. What is the second derivative of i(u) wrt u?\nAnswer: -24014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -142*d*v**3*y - 31*d*v**3 + 588*d*v**2 + 14*d*y - 17*v**3*y + 2*v**2*y wrt v.\nAnswer: -852*d*y - 186*d - 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 182*x**2 - 359*x**2 + 187*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 4*k**2 - 2 - 3.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57 + (219 - 116) + -271.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(3\/14)*w*w*w*w\/w**(-5\/4)*w*w**(-7)\/(w*w\/(w*w**(-41))) assuming w is positive.\nAnswer: w**(-1191\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pgk when three letters picked without replacement from pgkp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 PM and 12:05 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-30)*2*-1*(-312)\/(-52)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -59, -259, -595, -1067, -1675?\n\"Answer: -68*q**2 + 4*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 404742 is divided by 618?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (71 + 110*z - 71)*(-1 + 0 - 1) - z - 4*z + 3*z - 43*z - 24*z - 55*z - 100*z.\nAnswer: -444*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 5763*s - 21. Let c be t(2). Suppose -3*y + c = -13572. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*58.51.\nAnswer: 5.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2. Let f be 2 + 0 - 5 - -7. Let x(c) = -2*c - 3*c + 4*c + f*c. Give k(x(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1911.29 years?\nAnswer: 1.91129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1613845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 32424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122 = -3*p - 11. Let j = -112\/3 + p. Put 5, 0.2, j in ascending order.\nAnswer: j, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.374644 - 1.376. What is o rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 436 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 0.13  (c) -30  (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**3 - s**3 - s**3 - 2*s**5)*(0 + 0 - 3).\nAnswer: 6*s**5 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -7*l - 31. Let v be h(-5). Suppose -7 = v*d + g - 12, 0 = 4*d - 2*g + 10. Put d, -5, -25 in ascending order.\nAnswer: -25, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -267 + 188*i + 293 - 187*i - 122 - 1063.\nAnswer: i - 1159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 976512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 197 divide 2085827923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -67364, -134736, -202108, -269480?\n\"Answer: -67372*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38 and 1083.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -144 - -188. Does 54 divide (0 - -380) + u + -46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 2*h - 11. Give j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q**2 + 301 - 1414 - 846 to f*q + g + m*q**2 and give g.\nAnswer: -1959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4*sqrt(325) - (sqrt(13) + sqrt(325)*-5)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - -14f3?\nAnswer: 14ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 136, 1\/4, 12, -0.1, -0.166?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*u**4 + 27831*u**3\/4 + 4032885*u**2\/4 + 194544325*u\/4 - 27437625\/4 = 0 for u.\nAnswer: -145, 9\/64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*y + 31643878 - 31643878.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**7*c)\/c**3)\/(c\/(c**(-1)*c)*c**(-4\/5)) assuming c is positive.\nAnswer: c**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 4*r**2 + 116*r + 720 = 0.\nAnswer: -20, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -299, 11414, 1, 3, 0.2?\nAnswer: 11414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3*l + 1)*(8*l - 4 + 4 - 4 + 4 - 2*l + (0 + 5 - 3)*(0*l + 2*l + 0*l) + 4*l + 3*l - 6*l) in the form r*l + m*l**2 + o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1373 is divided by 1009.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 223138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -584*w + 499?\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 78*d**2 + 700*d - 10. Determine b(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 (base 8) in base 11?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 109 + 3. Let d = y - 48. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**3 + 1209*l**2 - 3666*l - 4872 = 0 for l.\nAnswer: -406, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -2*m + 40. Let b = 1 + m. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x - 13. Let f(s) = -6. Determine 9*f(a) - 4*n(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3\/7 + 297*j**2 - 59670*j\/7.\nAnswer: -3*j*(j - 663)*(j - 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/756 and -131\/3780.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 4*a**2 + 6*a - 7*a**2 + 10 + 2*a**2. Let s be v(7). Is (s\/2)\/((-6)\/(-64)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*a - 5*a + a - 10*a + 0*a + 6*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*s + 41 = -127. Solve 1\/5*d**4 + 0 - 4\/5*d**s + 4\/5*d - 1\/5*d**3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11.12 + 3.58. Let q = -1.981 + 3.981. Which is bigger: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-15)*o*o*o)\/o)**(-8) assuming o is positive.\nAnswer: o**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i**3 + 5*i**3 - 3*i**3 + (-5 + 5 + i**3)*(-61 - 4 - 27) - 1 + 1 + i**3 to y*i**3 + u + j*i**2 + b*i and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 93?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 12*x - 1. Suppose -a - i = -6, 0 = 3*a + 5*i - 12 - 12. Let w be (1 - (-2 - 4) - 34\/4)*-2. Suppose 2 = l - 2*g, 5*g + a + w = 2*l. Calculate u(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-20)\/25 - -5) + (-4)\/20. Solve 0 = v*h + y - 14 - 4, -3*y - 10 = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 14*v + 5*v**3 - 7*v**2 + 5 - 6*v**3 - 5*v. Let d be u(-8). Put d, -1, -2\/7 in descending order.\nAnswer: -2\/7, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-5) - (-1)\/(-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of h**5\/60 - 41*h**4\/12 + 1969*h**3\/2 - 1975*h**2. Differentiate q(a) with respect to a.\nAnswer: 2*a - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*g = 42*g - 1742. Let x = g - 38. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 415971 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 7*z**2 + 2. What is the remainder when w(5) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -52.6 - -53. Which is smaller: o or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 2*y**3 - 45850*y**2 + 2148824*y + 39075624 = 0.\nAnswer: -14, 61, 22878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 93 - 29 - 2*y - 31 - 25. Give s(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93542, 187115, 280674, 374213, 467726, 561207, 654650?\nAnswer: 748049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -421\/340 + -1\/85. Let y = -15.04752 + 0.04752. Suppose -4*k - 14 = 2*d, -4*k + 2*k - 2*d = 6. What is the closest to -0.1 in k, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 558*o**4 - 7*o**3 + 2*o**2 + 31*o. Let x(s) = -s**4 - 2*s**3 + 3*s**2 + s. Let j(h) = -i(h) + 3*x(h). What is the third derivative of j(u) wrt u?\nAnswer: -13464*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1637575?\nAnswer: 5, 31, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) 0.6  (c) 48\/23  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2637 - 1876. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 81*d. Let q(c) be the second derivative of 23*c**4\/6 - 12510*c. Give m(q(z)).\nAnswer: 3726*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11852 - 9765. Does 36 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -461 = -3*h - 511*r + 516*r, -441*h - 1041 = -3*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -658253*m**3 + 131*m**2 - 673 wrt m?\nAnswer: -3949518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5338454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*l + 450, -l + 2*n - 9 + 236 = 0. What are the prime factors of l?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-40) - (-1)\/(-4). Let z = x + 3\/5. Factor -2*k - z - 8\/5*k**2.\nAnswer: -2*(k + 1)*(4*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1870)\/3179)\/(16\/34).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z**3 + 14*z**2 - z - 10. What is l(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -4*l**5 - 8*l**4\/3 + 8*l**3 + 16*l**2\/3 - 4*l - 8\/3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5521566 (base 9) to base 13.\nAnswer: 7cb4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1170.589 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/12 - (-21)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**3 - 4*s**2 + 4*s - 2. Let f = 21 - 17. What is the lowest common multiple of o(2) and (2 - -1)\/6*f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2672378 is divided by 86?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/(-2)*6\/(-36). What is the second biggest value in 3, -1\/6, 2, -12\/13, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 12733\/1434 and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in 0.4, -1\/15070, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30 or -36?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (1 + 2) - (-1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t + 57. Let l be k(0). Let u be 57\/(-2)*(-4)\/(-12)*-4. What is the highest common divisor of l and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 117 is divided by (13 - 108\/8)*(-9 - 57).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -8*d**3 + 7*d + 5. Suppose -a - m - 3 = -1, -2*m - 22 = -4*a. Let l(t) = -4*t - 2*t + 3*t**2 + 7*t**a - 4 - 3*t**2. What is -6*l(x) - 5*v(x)?\nAnswer: -2*x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3473 + -1477. Suppose 0 = -m - q + 988, -20*q - n = -2*m - 18*q. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - 19. Let n = p - -29. Suppose 5*o = -n - 19. Sort 0, -19, o in descending order.\nAnswer: 0, o, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9626 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 175 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/4))**(-37))**21 assuming c is positive.\nAnswer: c**(-777\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 1\/5149, 641?\nAnswer: 1\/5149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(128)*1 - sqrt(128) - sqrt(128))*-4)**2 + -4).\nAnswer: -12264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 2)*(-19 - 4*t + 0 - 12)*(2*t**3 + t**2 - t**2).\nAnswer: -24*t**4 - 186*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 PM and 5:09 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 + 4 + 475 + (9 - 18). Suppose -5*n + 736 = -t, 3*n + 22 = 5*t + k. Calculate the smallest common multiple of n and 70.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 47143 (base 8) to base 11\nAnswer: 14093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -269.1 + 273.1. What is the smallest value in -0.08, 1\/17, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 5 - 7, 4*x + 3*g = 28. Calculate the least common multiple of 18 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 - 8*m - 6. Let t be l(-6). What are the prime factors of (-4)\/t + 116\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: c09679 (base 13) to base 15\nAnswer: 5d651d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*g + 19*g = -11440. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + 102551251?\nAnswer: 102551300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -5. Let n(q) = 5*q - 5. Let k(l) = -14*l + 16. Let i(b) = -2*k(b) - 7*n(b). Give i(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -108335841*r**6 + 34290750*r**2 + 1 wrt r.\nAnswer: -13000300920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3\/(-72))\/((-198)\/(-1584)))\/((-1)\/(-24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 - 57*r**2 + 3*r + 267. What is m(-57)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + z**2. Determine u(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 134.05 * -58038.\nAnswer: -7779993.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) - sqrt(54)\/sqrt(3)*-6)*-4)\/(-2*(sqrt(81)*-3 - sqrt(81)))*-6.\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 3*w**3 - 5*w**2 + 3*w + 3. Let n be k(3). Suppose -f - 4*u = -n, -5*u + 3*u - 144 = -3*f. Suppose 3*i = 7*i - f. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**2\/5 - 109944*g\/5 - 1909998 = 0.\nAnswer: -54885, -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x. Let o(m) = 3*m. Let d(w) = 8*n(w) - 5*o(w). Calculate d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 176 + -6?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 5*v + 395, -v + 4*t = 3*t + 89. Let g be (v\/9)\/(2\/(-9)). Does 12 divide ((-108)\/14)\/((-9)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -712 and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -5. Suppose -i*n + 13 = 3*x, 4*x - 14 = -n - 0*n. Solve 6 = -x*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8084, -16343, -24552, -32687, -40724?\nAnswer: -48639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 PM and 10:09 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 181\/30 - 31\/5. Let r = 697099\/8701 + 32\/1243. Let y = 80 - r. Which is the nearest to k?  (a) -2  (b) 0  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 203595813853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 33 + -33.5. Which is the second smallest value?  (a) 2  (b) -0.1  (c) j  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -201 by 3.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 + 6 + -16)*((-150)\/33 + 4)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -62*r + 304. Give x(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71c8 (base 14) to base 9.\nAnswer: 28765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 + 7*y - 7. Let g be v(-8). Let j = -34 + 39. Which is the third smallest value?  (a) j  (b) -1\/4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7317713*s**2 + 10*s**3 + 7317713*s**2.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 649 + 189)*(-2 + 2 + u - 2)*(-5 + 4 + 11).\nAnswer: 8210*u - 16420","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -387*a + 3037 + 3929 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3 = -1. Suppose 0 = -y*z - 0*z + 12. Is z 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 9404dc + 5?\nAnswer: 9404e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of b**3\/3 + 3*b**2 + 7*b + 1. Let z(n) = n**2 + 6*n + 2. Let u be z(-3). Is s(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 260 and 2758548.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8929777 rounded to two dps?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -4*o**3 + 266652*o**2 - 4444355520*o + 13330666800 = 0?\nAnswer: 3, 33330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -8*c - 6. Let o(j) be the third derivative of -3*j**2 + 0 + 1\/12*j**c + 1\/30*j**5 + 0*j**3 + 0*j. Find the second derivative of o(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 63\/(-234)*(-4)\/(-7)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 300 and (10 - 5) + ((-4)\/(-6) - 1\/(-3)).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 372957 - 0.4.\nAnswer: 372956.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/(-3) + 60\/4. Suppose -2*u + 2 = -o + 2*u, 0 = 4*u - x. Suppose o = i + i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53965432511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minus 3131780394972.7?\nAnswer: -3131780394961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -19478  (c) -11645\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 534 and 531686?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28 + -13. Let d = u - 20. Is 5 a factor of (2 + -3)*d*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -253, -2155, -7321, -17383, -33973?\n\"Answer: -272*p**3 + 2*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**7)**(-27) assuming n is positive.\nAnswer: n**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -4*d + 68, d + 55 = 5*o - 0*o. What is the remainder when 23 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 246*z + 4375. Determine a(-31).\nAnswer: -3251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k + 387*k**2 - k**3 + 3*k**4 - 205*k**2 + 2 - 219*k**2 to y*k**4 + u*k**2 + m*k**3 + f*k + d and give u.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 261 and 116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1913665 and 215.\nAnswer: 82287595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 51 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - (-1691)\/(-380))\/(12\/(-10)). Sort -2\/7, x, 0, 4, -5 in descending order.\nAnswer: 4, x, 0, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23 + 22.8. Let s = -6 + 11. Put -1\/7, s, q in descending order.\nAnswer: s, -1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1*44*((-315)\/(-48300)*-46 + (-12)\/10)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + -18. Suppose 15 = c - 3*y, -w*y - 16 = 5*c - 171. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of -q**6\/120 - 311*q**5\/60 + q**4\/24 - 119*q**3 - 50*q**2 + 1. Find the second derivative of w(r) wrt r.\nAnswer: -6*r - 622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) + sqrt(65)*-2 + sqrt(65) + sqrt(65))\/sqrt(5) - sqrt(208).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 1225*t - 24402. What is u(19)?\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-31))\/q)**38\/(q**(-2\/13)\/q*q**(-7\/5)) assuming q is positive.\nAnswer: q**(76736\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 21 = 3. Suppose i = 2*n - 3*n - 2*u, -2*n + u + 8 = 0. Suppose 10 = 4*q + n*w + 4, -4*q = -3*w - 11. Is q smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -3*g + w - 4, 5*g - 30 = 5*w. Let k = 2 + g. Suppose 0 = -k*x - 4 - 0. Let y(p) = 5*p**2 - p - 1. Determine y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1138466384*d - 329617370 wrt d?\nAnswer: -1138466384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2214279 litres to millilitres.\nAnswer: 221.4279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 2\/7, 55, -2\/7, -38, -2\/9 in ascending order.\nAnswer: -38, -2\/7, -2\/9, 0.1, 2\/7, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -735 = -3*g - 2*g. Is 38 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 5*q**2 - 4*q. Let n be u(4). Let k be (-6)\/(-33) - (-1023938)\/(-1408). Let c = 727 + k. Is n at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - 29*u - 116. Let b be a(-23). Solve -b = 2*n + 5*i, 26*n + 5*i = 30*n + 14 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1159000 rounded to the nearest ten thousand?\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*t**5*x + 18*t**4*x**2 + 15*t*x**2 + t - x**2 wrt t.\nAnswer: -140*t**3*x + 216*t**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 2*x - 26, 3*p = -0*p - 5*x + 2. Solve l + 8 = -l, -5*j + l + p = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 41392, 82903, 124440, 166015, 207640, 249327?\n\"Answer: 2*p**3 + p**2 + 41494*p - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -14) + 0 + -311 + 308 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -33. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5 + 6 - (3 + -9). Solve 4*f = -5*r + 20, -5*f = -4*r - u - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from jjtttem?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - g = -0*x - 3*g, 12 = 2*x - g + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**2 - 43*t + 30. Suppose 11*a = 8*a + 63. What is the remainder when (-1)\/4 + (-69)\/(-4) is divided by l(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2072, 2258, 2444?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*2*(sqrt(119) + (sqrt(119) - ((-1*sqrt(119) - sqrt(119)) + sqrt(119)))))\/(1*sqrt(567)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from exvveeve. Give prob of picking 1 x and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 25328686777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.171 and -3430494.\nAnswer: -3430491.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2407 rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -44.090939 rounded to two decimal places?\nAnswer: -44.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 203030230313 + 11?\nAnswer: 203030230330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 1:50 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*z**4 + 0 + 0*z + 18\/7*z**3 + 0*z**2 - 2\/7*z**5.\nAnswer: -2*z**3*(z - 3)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**4\/2 - 10716*j**3 - 57384171*j**2 + 344594412*j - 1034072649\/2.\nAnswer: -(j - 3)**2*(j + 10719)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 3*q - 84. Let r be -9 - (8\/(-14) + (-125)\/(-35)). Let f = r + q. Calculate the remainder when 26 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 369187381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of i**5\/20 - 7*i**4\/12 + 5*i**3\/6 + 4*i**2 - 2*i. Let u be a(6). Suppose -2\/11 - 4\/11*o - 2\/11*o**u = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -301555540 (base 6) to base 11\nAnswer: -299594a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 555234, 555228, 555220, 555210, 555198, 555184?\n\"Answer: -x**2 - 3*x + 555238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -2  (c) 0.046  (d) -4  (e) -9  (f) -5  (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7733824.\nAnswer: 2, 7, 61, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 197, 185, 175, 167, 161?\n\"Answer: w**2 - 15*w + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*r - 2*r + 3*r**3)*(-r + 4*r + 0*r) to b*r + s*r**2 + i*r**3 + q*r**4 + v and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 371.9 + -366. Let z = x + -6. Let r = -9 - -3. Which is the closest to z?  (a) -4  (b) r  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51 - -47 - (4 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/6 + (-261)\/90?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.45 + -0.33. What is a rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 5)*(-42)\/14. Is 5*((-16824)\/m)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6495511 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y + y - 5*y)*(-1 - 4 + 3) + (17*y - 29*y + 79*y)*(-1 + 1 + 1) to g*y + n and give g.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -201*g + 281*g + 171*g + (2 + 1 - 1)*(g + 0*g + g) to i*g + l and give i.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of -k**5\/20 - k**4\/2 - 5*k**3\/6 - 9*k**2 + 109*k. Let n be c(-6). What is the greatest common divisor of n and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + -23 + 57 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-6*(sqrt(48)*1 - sqrt(48)) - sqrt(48)*1*-1).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + 253 - 621. Let g = h + 38. Suppose -41 = -c - 5*j, -4*c - 4*j + g = 46. What is the highest common factor of c and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 676498 and 7486.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 31 = q - 10, -4*q = -4*p + 20. Suppose p*f = 5 + 27. Solve -10 + f = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 450070795 minus -134?\nAnswer: 450070929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9936 divided by -1242.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - -1)\/(2 + 0). Suppose z = 5*j - 8899029 - 26100971. Round j to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*p + 272. Let h = p + -65. Let c(m) = -2*m**3 - 3*m**2 + 4*m - 2. Let n(a) = -3*a**3 - 4*a**2 + 5*a - 3. Let i(z) = 4*c(z) - 3*n(z). Give i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -1253*g - 25116. Determine o(-20).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39832353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*1103354.\nAnswer: -6620124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-6)*t)\/(t**(-12)*t*t*t*t)*(t\/t**(-9))\/(t**11*t) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44069 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*n**4 - 7*n**4 + 0*n**4)*(0 - 2 + 4 + (-4 + 2 + 1)*(2 - 2 + 1) + 3 - 6 + 1).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2356257117 to the nearest integer?\nAnswer: 48541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 761 and 832534.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 28*x. Let b(w) = w + 1. Let h(n) = 2*n**2 - 5*n - 5. Let a = -28 + 29. Let r(v) = a*h(v) + 5*b(v). Calculate r(m(k)).\nAnswer: 1568*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2 - 2480*d**2 + 8*d + 0 + 2477*d**2 + 62. Let n be h(6). Solve n*a - 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -329 - -66. Let a = -60 - b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 4, -3, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7056) + sqrt(7056)*2*5)\/((sqrt(28)*-6 + sqrt(7))*5))**2.\nAnswer: 1008\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 9:35 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4881*r + 289263 = 1441*r + 1095*r for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 50\/12 - 70\/14. What is the fourth biggest value in -5, -1, 1\/4, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124 equal to 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - 1. Let u(t) = 10*t**4 - 3*t**3 - 3*t**2 - 3. Let s(p) = -3*b(p) + u(p). What is the third derivative of s(f) wrt f?\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-7)\/(-2))\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 40 = -5*b, -12*b + 10*b - 5*t + 28 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + 20 + 3 + 6 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 7:53 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2086 a factor of 2257525522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 853\/(-3412)*16\/(-346)\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (226\/9)\/2 + 144\/324 - -2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (54\/45)\/((-6)\/(-20)). Which is the closest to -4?  (a) -0.1  (b) -3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1695)\/(-226))\/((-15045)\/(-34)))\/(3\/(-6))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25830095 to the nearest integer?\nAnswer: 5082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -1179*w + 22378. Calculate r(19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/3)\/(2\/12). Let o(a) be the third derivative of -a**8\/10080 + a**7\/2520 - a**5\/15 + 17*a**2. Let v(q) be the third derivative of o(q). What is v(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000083796 to 7 dps.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of 5*v**3\/3 + v - 2. Let s(j) = -48 + 48 + 28575*j**2 - 28573*j**2. Determine s(d(k)).\nAnswer: 50*k**4 + 20*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, p: 16}. Give prob of picking 2 p and 1 x.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 10 = -10*s. Let t(v) = -16*v**3 - v**2 - v + 1. Is t(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 6:56 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -45  (b) 5  (c) -2\/95  (d) 0.1  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 140 and 6.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that f**3\/4 + 163*f**2\/2 + 323*f\/4 - 325\/2 = 0.\nAnswer: -325, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4263648919.\nAnswer: 1997, 2135027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 20 = -2*i, 20 = -i - 3*c + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 210009994 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -379401, -379376, -379349, -379320, -379289, -379256, -379221?\nAnswer: -379184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76, 78, 80?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10925505.7 + 0.9.\nAnswer: -10925504.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 200937264 by 6.\nAnswer: 33489544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 17*k - 11. Let q(l) = -14*l + 9. Let x(m) = -2*i(m) - 3*q(m). Let d(b) = 24*b - 14. Calculate 5*d(z) - 14*x(z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -49. Suppose -6*d + m = -36. Let i be (-16)\/(-6)*441\/d. What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*v + x - 9, 0 = 2*v - 0*v + 3*x + 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36 + -33. Let u be (-27)\/45 - 6\/(-5). Determine q so that -6\/5*q**4 - u*q**g + 0 + 3\/5*q + 6\/5*q**2 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 123 - -695?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -29  (b) -2\/15  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -18, 16, -5, -1.6, -37, -0.4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 119\/6?  (a) 25  (b) -0.4  (c) -4\/7  (d) 2  (e) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -k**3*y**3 - 15*k**3*y + 112*k**2*y**4 - 5*y wrt y?\nAnswer: -6*k**3*y + 1344*k**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 61  (b) 4\/7  (c) -0.1  (d) 2\/15  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 125.0005 and 4?\nAnswer: 121.0005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6137.5 rounded to the nearest 10?\nAnswer: -6140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*k + 37 = -2213 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + u - 4*u)*((-3 + 1 - 2)*(-11 + 109 - 30)*((-3 + 6 - 1)*(0 - 3 + 2) + 0 - 1 + 2 + 2 + 0 - 6) - 3 - 1 + 5).\nAnswer: -1361*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -12 + 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -212079140 to the nearest one million.\nAnswer: -212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 32\/5 + 10\/(-25). Let g be (15\/z)\/((-5)\/(-10)). What is the derivative of 4 - g + 4 + 4*n**2 wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + 3376975?\nAnswer: 3376976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of 2*f**7\/63 - 4*f**6\/45 - f**5\/5 + 4*f**4\/9 + 8*f**3\/9 - 3*f - 131. Factor r(o).\nAnswer: 4*o*(o - 2)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 554*b = -67*b - 6831 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(-4*sqrt(5)*-1).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 5*i - 26 - 14 = 0, 2*i + 17 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) -4  (c) -0.04  (d) -2\/7  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 211, -5.\nAnswer: -5, 5, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 4:57 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -14706 * -0.138\nAnswer: 2029.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 225096499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12514665 > 87602653\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkttkkkkkktkkkkkkt. What is prob of picking 4 t?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = 6*x + 52, 21*x - 41*x + 103 = -i - 24*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12801592759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c**4\/3 - 20*c**3\/3 + 8*c**2 + 16*c\/3 - 32\/3 = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 23016 divided by -137\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49 + 422*s + 67 - 140*s to o + t*s and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, -5, 0.011?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00320849 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7549.443236 + -2268.\nAnswer: 5281.443236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, x: 1, i: 1, r: 2, c: 2}. What is prob of sequence irr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3 + 46893*i**2 - 140700*i + 93804.\nAnswer: 3*(i - 2)*(i - 1)*(i + 15634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2471\/4 - 7421\/12. Sort m, -17\/5, 0.2, -2, 6 in decreasing order.\nAnswer: 6, 0.2, m, -2, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 - 6 = 4*x - w, 0 = 3*x - 2*w + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -24.872961 in -1, -2, 0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1246097 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3 - 4 + 1 - 4*q + 3. Let l be x(-4). Let k = 7 + 6. Calculate the highest common factor of k and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a - 3. Let w be z(7). Suppose -10*t = -11*t + w. Differentiate -x**4 + 8*x**t - 13 + 2 with respect to x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {s: 1, l: 1, x: 3, c: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*y + 4*y = 10, 14 = s + 2*y. Suppose 0 = 8*w - 325 - 1243. What is the smallest common multiple of w and s?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2232, -8559, -14886, -21207, -27516, -33807?\nAnswer: -40074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/280)\/(-171 - -163 - 76\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = 5*t - 3*p + 10, 5*t + 2*p = -10. Let g = t - -6. Factor -z - 49\/4*z**5 - 63\/2*z**g - 109\/4*z**3 + 0 - 9*z**2.\nAnswer: -z*(z + 1)**2*(7*z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1195 + 2678. List the prime factors of n.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + 99*i**2 - 334*i + 76845. What is v(103)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rlccleelrwgw. What is prob of sequence rw?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 119698617 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -220331 (base 6) to base 8\nAnswer: -43537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y**(-3\/19)\/y))\/y)**(2\/13)\/(((y\/(y\/(y**(-16)\/y)))\/y)\/((y*y\/y**(-1\/7)*y)\/y)) assuming y is positive.\nAnswer: y**(35135\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2 - 11*w - 3. Let y be o(-5). Suppose y*j - 6 = 5*j. Let p(i) = -2*i - 1. Let k be p(j). What is the highest common factor of 33 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + 3 + (-3 - -2). Let w = 13 - u. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 6 = 2. Suppose z = -r*z + 15. Suppose z*w = 10 + 23. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.24 - 2.18. Let s = -3.5 - -4.5. What is the third smallest value in v, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l - 2. Let m(r) = -21. Give -b(a) - m(a).\nAnswer: -a + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5166.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.4  (b) 6\/13  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27 and 729.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 11:13 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-1 - (-3 - 0)). Suppose -5*l - 3 = j*b, b + 4*l + 0 = 3. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 n when four letters picked without replacement from {t: 5, n: 1, v: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/3)*z)**(-34)\/(z**5\/z**(-2\/5))*((z*z**7)\/z**(-3\/2))**(-5\/6) assuming z is positive.\nAnswer: z**(-493\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1834)\/(-1441))\/(1\/11). Calculate the highest common factor of 469 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/19 + (137170\/4180 - 27)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1576305 and 6624.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7517, 6882, 5999, 4868, 3489, 1862, -13?\nAnswer: -2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 28.2 or 2?\nAnswer: 28.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-32)\/((s*s**34*s)\/s)*(s**(7\/4))**(1\/14))**5 assuming s is positive.\nAnswer: s**(-2675\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 146279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -662.6808*0.3.\nAnswer: -198.80424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 23*c**2 - 160*c + 1412. Give o(27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 285 + -284. Let v = -1116 + 1122. Let u = -19 + 39\/2. What is the nearest to -0.1 in u, b, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 - 30 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 60. Let m be l(-8). Solve 5*s - 32 = m*g, -4*g - g - 7 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -0.137.\nAnswer: 0.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of v**4\/10 + 28*v**3\/15 + 12*v**2 + 144*v\/5 + 67. Let s(a) = 0. Calculate a.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 65 = 5*g, 3*g + 67 = -2*j - 3*j. Calculate the smallest common multiple of 1 and (j\/4 - (-3)\/(-6))*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*c + 3*s - 17 = 0, 1305*s - 1303*s - 21 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, j: 6, o: 2, s: 4}. What is prob of picking 1 j, 2 o, and 1 y?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 AM and 1:09 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5984\/40 - 4\/(-10) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -3\/353?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 462000 + -270587. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 531340443?\nAnswer: -531340434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 7*k + 11. Let j be l(-6). Is 5 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 9*o - 105 = 4*o, -15 = 5*o. Suppose -d = -5*r + 5*f, 3*r - 32 - 32 = -5*f. Solve 0*n = -3*b - n + 9, 2*b + 3*n = r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 + 2 + -84 + 40 + 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 - 78 = -11*u + 77 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-324)\/3)\/(-9)*(6\/(-7))\/(312\/(-1365)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 161 + -165. Sort 1, q, 4, 15.\nAnswer: q, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-61)\/((-6405)\/49)*1*3.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -0*o - 4*o, 4*w = o + 7. Let g = 20 + w. Calculate the remainder when 103 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5519178?\nAnswer: 2, 3, 7, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9.9999987 - -10. What is m rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 less than or equal to -601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + n = 2*w - 75, 46 = 2*n + 4*w. Suppose -16 = 4*i, 0 = 5*r + 4*i - 130 - 29. Solve -2*u - 2*u = -5*v - n, -5*u = 4*v + r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 5*h**2 - 1 + 13*h - 13*h. Let u = -1 - -3. Let f(s) = -s**2 - 1. Let i(y) = u*f(y) + n(y). Factor i(c).\nAnswer: 3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xjjxxjjj. What is prob of picking 4 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 3. Suppose 0*m = c*m - 152. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 PM and 12:40 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 236 - 236. Suppose w = -z - 4*z + 750. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 237*f**3 + f**2 - f**2 - 655*f**3.\nAnswer: -418*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*(((g*g\/g**40)\/g)\/g)\/g*g))\/g*g**(2\/3)*(g\/g**(-13\/3))\/((g*g**(4\/9)\/g)\/g) assuming g is positive.\nAnswer: g**(410\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71274 is divided by 810?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -390784 by -2.\nAnswer: 195392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -129 or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(85)\/sqrt(5) + 4 + (-2*sqrt(119))\/sqrt(7) + (sqrt(612) + 1 - sqrt(17) - sqrt(17)))**2.\nAnswer: 6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g - 17. Suppose 0*s + 5*s = 60. Let i be m(s). Let a(r) be the first derivative of r**2\/2 - 13*r - 504. Give a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**3 + 26*t**2 - t + 27. Let f(c) = 13*c - 104. Let i be f(9). Let w be k(i). Solve 2*j + w = 2*z, 0*z + z - 5*j - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22\/44)\/(1\/4) + (-1357)\/(-59)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*t - 9*t + 791, -2*d + 3*t = -751. Let o = d - 264. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -105*m - 108*m + 5560 + 3612 - 1907 + 211*m to r*m + u and give u.\nAnswer: 7265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4584794791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f + 1. Let q(z) = -2*z + 6. Suppose 26 - 44 = 18*c. What is c*q(i) + 3*x(i)?\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/15 - 98*t**2\/15 + 230*t\/3 + 250\/3.\nAnswer: 2*(t - 25)**2*(t + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 2505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 107601149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dmxx when four letters picked without replacement from {m: 2, d: 3, c: 5, p: 1, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of 109*z**4\/24 - 149*z**3\/6 - 39*z**2 - 2. What is the derivative of w(t) wrt t?\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -4*f**3 - 52*f**2 - 4*f - 44. Let l be w(-13). Solve l*s - 16 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d + 50. Let y be c(-11). Suppose -4*v = -5*g + 31, -10*v - y = -8*v - 3*g. Which is greater: v or -23\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -144889*y**3 + 4*y**2 + 5009 wrt y.\nAnswer: -869334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -84820028 divided by 19\nAnswer: -4464212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 s, and 1 p when three letters picked without replacement from asaspaazasazzszzasp?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1023 - 5?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/247 and (-118)\/(-855) - 3*30\/405.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, 0.4, -0.4, -0.9, 0.028, -3\/5?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 36\/13343 and 29\/4852.\nAnswer: 53372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 13) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 161476745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.7 - 1. Let v(t) = -89*t - 86. Let z be v(-1). What is the closest to z in n, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -321488 divided by 283?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 + d**2 - 8*d**2 + (-2*d + 0 + 0)*(d - 1 + 1))*(-14*d + 43 - 43)*(-3 + 4 + 1).\nAnswer: 308*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252*p - 153*p = -261*p - 2016 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-540)\/50 - -10)\/((-3)\/(-5)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.370251796 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1310820 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3861152, -3861151, -3861150, -3861149, -3861148, -3861147?\nAnswer: -3861146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4063479 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llbl when four letters picked without replacement from {r: 2, p: 1, l: 3, b: 2, d: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 293360?\nAnswer: 2, 5, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-8))\/((-180)\/(-240)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 7, m: 1, w: 1, t: 5}. Give prob of sequence mm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (1376\/(-96) - -14)\/(8\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -3\/112, 4, 2\/9, 1\/8?\nAnswer: -3\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14877034154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -101012 - 12200032?\nAnswer: -12301110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 4021122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -1\/18, 20\/2529, -27?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = m + l, -3*m + 2*l - l = -43. Suppose g - m*g = -48012. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146070 = 5*h + 5*s, 4*h - 5*s = 83010 + 33837. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*a**2\/2 + 33*a\/2 - 21.\nAnswer: 3*(a - 1)*(3*a + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + 4*f**2 + 5. Let x be c(-4). Let p be (1 - 4 - -3) + 2. Solve 6 = k + 3*m, -k + p*k = -x*m + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 4. Suppose 5*i = -p + 6. Let y(v) = 2 + 3 - 2*v + i. What is y(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 108 and 18873.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r + x = -3, -12*r + 5*x = -15*r + 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66)*-1*1)\/((sqrt(10)*2)\/sqrt(5)))\/((sqrt(432) + 6*(sqrt(432)*1 - sqrt(432)) + sqrt(432))*3).\nAnswer: -sqrt(11)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -n**5\/20 + 2*n**4\/3 - 3*n**3\/2 - 11*n**2\/2 + 18*n. Let j be r(6). Suppose j*s = 5*s + 20. Solve -10 = -5*b + s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from ttegety.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 54254149 to the power of 1\/2, to the nearest integer?\nAnswer: 7366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90728 = -2*d + 4*z, 2*z - 53020 + 279804 = -5*d. Let h = d + 16291. Let i = 34433 - h. Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 110 + (10\/6 - 1\/(-3)). Let x = o + -107. Suppose -x*p + 84789 = -14211. What is p rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 4*l**4 + 1416*l**3 + 127440*l**2 + 259000*l - 20212500 = 0.\nAnswer: -175, -15, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5984824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-1 - -6) + -1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/28)\/(m\/(m\/m**19*m)))\/(((m*m\/(m\/((m\/((m**(-1\/7)*m)\/m))\/m)))\/m*m)\/m**15))**(9\/10) assuming m is positive.\nAnswer: m**(-1053\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -170, -331, -520, -719, -910, -1075?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + 1117. Let j(k) = 3*k**2. Determine j(c(v)).\nAnswer: 3*v**4 + 6702*v**2 + 3743067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**3 + 0*d**3 - 7*d**4)*(5*d + d - 9*d).\nAnswer: 21*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-23885)\/281)\/((-1)\/1))\/1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express v**3 - 6 - 5*v + 6*v - 2*v**4 - v**3 - 2*v**2 in the form x*v + g + l*v**3 + z*v**2 + c*v**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2683819867.\nAnswer: 61, 1361, 32327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -j**3 + 3*j**2\/2 + 18*j + 439. Suppose m(s) = 0. What is s?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -7*i - 7. Let z(g) = -13*g - 14. Calculate 11*b(d) - 6*z(d).\nAnswer: d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 451445*g**3 - 15*g + 19471.\nAnswer: 2708670*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -6*p**2 - 2*p**2 + 4*p**2. Let y(b) = -b. Give y(d(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 3875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 55299961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 3*i**3 - 2*i**2. Let w = -32 - -37. Let x(a) = a**3 - 7*a**3 + 4*a**3 + a**2. What is w*x(j) + 3*m(j)?\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -348 = -2*t + 2*y + 1314, 0 = 5*t - 3*y - 4163. What is the remainder when t is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of 5129*v**7\/210 - v**4\/12 - 2060*v**3\/3 - 4*v**2 + 471. What is the first derivative of g(t) wrt t?\nAnswer: 20516*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(0 - -1)*6\/(-9). Suppose 56 = 4*l + m*f, 2*l + 4*f = 27 + 7. Solve 16 = 9*p - l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 308\/(-7) - (-16140)\/807.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.02, -1, 1, -27\/9628, 3\/5.\nAnswer: -1, -0.02, -27\/9628, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 16 - 7. Let q = -6 + m. Solve 3*y - 24 = 3*v - 7*v, 3 = -q*y + 5*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16020 = -5*t - 5*i, 0 = 9*t - 12*t + 3*i + 9624. Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j + 2 = 0. Let l be 0\/((1 - 0)*j). Find the common denominator of l + -1 + (-70)\/16 and 56\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fnfzfpppccpp. Give prob of picking 1 n and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (9 - -3)\/((-2)\/1646*-2). Suppose 1326 = j + 3*v - 1121, t = 2*j - 5*v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*l - 10 = 0. Suppose -5*s - 3*k - 12 = -43, l*s = 3*k + 19. Solve -2*m = 2*y + 4, -1 = 5*m - 2*y - s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(0 + ((sqrt(504) - sqrt(504)*-1)\/sqrt(8) + sqrt(63) + 2 + 2)*-4).\nAnswer: 16 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (97\/(641655\/(-98)))\/((-6)\/15*2)\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13*z + 13*z + 11*z**2)*(2 - 2*z - 4*z + 0*z)*(-z + z - 5*z) to the form c*z**2 + n*z**3 + g + l*z + d*z**4 and give n.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 215 (base 16) in base 5?\nAnswer: 4113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*c = -11, -z - 4*z + 5*c + 25 = 0. Suppose z - 17 = -4*s. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 2:26 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 9:16 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -204074, -204083, -204092, -204101, -204110?\n\"Answer: -9*t - 204065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8 - -19) + -3 - 2) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 675100*j**2 - 549292?\nAnswer: 1350200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97*m - 128*m**2 - 31*m - 66*m.\nAnswer: -128*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3590 and 1436.\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 84 - 53. Suppose u - t = -5*j, u + 4*j - 3*j = 15. Solve -10*y + u*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*t - 2*t**3 - t - 578*t**2 + 7 + 577*t**2 - 3 - 9*t**3 to i*t**2 + c*t**3 + w + x*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3 and 45474324.\nAnswer: 45474321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13437113.\nAnswer: 43, 211, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 13729, -0.07, -0.031?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1302*w - 1300*w + 1 - 185*w**2 + 2598*w wrt w.\nAnswer: -370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/(-5))\/(27\/(-180)). Let q = -2 - 2. Let s be q\/6 + (-4)\/m. Which is the third smallest value?  (a) 0.1  (b) s  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 195\/(-182)*-4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (-10 - (-21 + 13)) + -3 + 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 + 3*k**2 + 2*k + 114. Give s(0).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 9*h + 3*z + 29, 14 = 2*h - 2*z. Suppose -h*g - 13 = 23. List the prime factors of (-3)\/g*0 - -18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(-2*d + 3*d - 2*d + 4) - 6*d + d + 2*d.\nAnswer: -4*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.69 + 6.6900451. What is b rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 297 + 396*o - 71 - 47*o + 2*o**2 wrt o.\nAnswer: 4*o + 349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, 4, 248, 1.\nAnswer: -4, -2, 1, 4, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r + 1. Let x = -3326 + 3325. Let z(w) = -5 + 2 + 5*w - 2*w + 5. Calculate x*z(l) + 4*u(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -10113295 and -0.1?\nAnswer: 10113294.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4640\/343360*(-6)\/(-9)*(-6)\/(-10)*5\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 15*c. Let j be v(-1). Let s(b) = -b**2 - 14*b + 12. Let n be s(j). Let a be 0 - (-1 - 1) - n. Solve 0 = -a*r + 3 + 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 7*w = 18. Is 6\/w*(17 - 0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 3*w = 28069 - 28094, 2*p = -7*w + 5 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-28)\/(-6)*(-162)\/(-21). Suppose 4*h = -4*t - v, -4*h - 18 = 3*t + 14. Let g = t - -65. What are the prime factors of g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 234*(0\/5 - 12\/(-18)). Which is greater: x or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-16)\/(640\/10)*17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 87418493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 77281660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -64 in -0.5, -1\/3, -1154, 0.03, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 41?  (a) 1\/64  (b) 0.1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 2*i + 2*i. Suppose -5*u = 3*k + 5 - 40, 2*u + i*k - 14 = 0. Solve 0 = 2*z - u*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -3  (c) -384  (d) 4\/3  (e) 5.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 + 24*d - 130. Let u be y(-29). Suppose -3*k - 2*t - 37 = -6*k, -5*t - 43 = -2*k. What is the derivative of 16*x + k - 15 - u + 17*x wrt x?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8203*b**4 - 123047*b**3 - 393774*b**2 + 524896*b + 128 = 0. Calculate b.\nAnswer: -8, -2\/8203, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - -1 - (-16 - (-42 - -16)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = -2*g + t + 15, 0 = -3*g - 4*t + 39. Suppose -14 + g = -w. Let b = w - -5. Solve 0 = -b*k + 5*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20.89 - 21. Let z = l - -0.114. What is z rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -15*z**2 + 16*z - 59. What is q(3)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.114 or -1726590?\nAnswer: -1726590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -6*v**3 - 2*v**2 + 2*v + 1. Let j be a(-1). Suppose 4*k = j*r - 24619, 7*r + 2*k - 16422 = 5*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 6 + 7)*(-2*r + r + 0*r).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54 by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14958844973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**7*r\/(r\/(r\/(r*r\/r**(-2\/7))))*r*r*r*r**(-1\/4)*r**1\/r*r**(-3)\/(r*r*r*r**(-1))*(r\/(r*r\/r**2*r*r))\/((r\/(r*r\/r**(-6)))\/r*r) assuming r is positive.\nAnswer: r**(265\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/8)\/(30\/320). Solve 5*w + 4 = 2*g + 18, 4*w - j = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 15 - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 2*v - 4*v)*(1280*v**4 - 12*v + 199*v**4 + 12*v).\nAnswer: 1479*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 6*b**2 + 9*b + 5. Let g be f(7). What is the highest common factor of 209 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 332 - (-3)\/(-2 - (-5)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/7  (b) 0  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5*((-4)\/6)\/((-6)\/9). Suppose 2*k = -2*k - 4. Let o = 2 + k. Solve -o + 16 = -u*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -616*z = -456*z + 983*z + 86*z + 34412 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 530972 divided by 1\nAnswer: 530972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 25*z**4 + 99190*z**3 - 238180*z**2 + 79400*z = 0.\nAnswer: -3970, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -152432402 - 14?\nAnswer: -152432420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 84 and 6506388.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + 0 - -10)\/1. Let c(o) = -8*o. Let k be c(-1). What are the prime factors of k\/p*135\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5821, -8713, -11611, -14521, -17449, -20401?\n\"Answer: -j**3 + 3*j**2 - 2894*j - 2929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 5*z = -6, 2*j = 2*z + 14. Let o = j - 1. Suppose o*u = 6634 + 5098. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 4*l = 58. What is the greatest common divisor of l and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206744664?\nAnswer: 2, 3, 7, 167, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 - 19. Let t(a) = -a**3 + 6*a**2 - 3*a - 7. Determine t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 258831 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -178 times 0.37\nAnswer: -65.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 36*x**3 - x**2 - 5*x**2 - 11*x**3 - 5*x**3 + 209 + 0*x**3 with respect to x.\nAnswer: 60*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1153281\/25 - 46125. Are 7 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3609 - 3261. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.94 + 0.06. Let y = n - 2.1. Let d = -264 + 267. Which is the second smallest value?  (a) d  (b) 2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 9*o**2 - 17*o - 3. Let b be p(6). Find the third derivative of -2*r**4 - 12*r**3 + 26*r**b + 107*r**2 - r**2 wrt r.\nAnswer: -48*r + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -54034 - -2647758\/49. Let m = 839\/294 - b. Calculate the common denominator of m and 11\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 + 208\/56)\/((-4)\/(-56)). Does 4 divide d - (-1216)\/8 - 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(19) + sqrt(19) + sqrt(19) + sqrt(19)*-3 + -1 - (sqrt(931) + sqrt(931) + sqrt(931) + -4))**2 + -4)*-2.\nAnswer: -252*sqrt(19) + 16768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4060 + 4876. What is the least common multiple of o and 27?\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1667, 1\/4, -9, 51 in descending order.\nAnswer: 51, 2, 1\/4, -9, -1667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/182952 and 191\/101640.\nAnswer: 914760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -240, -247, -62 in decreasing order.\nAnswer: -62, -240, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from ppogoogpgooopopooog.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 20*r - 28. Is 26 a factor of t(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 3*q - 35, -3*q - q + l = -50. Suppose 4*f - 12870000 = -3*a, -14*f + q*f = 0. What is a rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fssfgflfllsgfsffsw. What is prob of picking 1 l, 1 f, and 1 w?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 31*m + 187. Let p be b(-6). Suppose 0 = 2*f - l - 3, 2*l + p = 4*f - l. Solve 0*o + f*o + 5*s = -4, 5*o = -4*s - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*j = -0*j - 9, -4*i + 12 = -5*j. Suppose 9*m = -i*m + 24. Find the second derivative of 15*c**5 - 21*c**2 + 21*c**m - 6*c - 15*c wrt c.\nAnswer: 300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 28, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 3 j when four letters picked without replacement from ojooouoojuoouuoopooj?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/22 + 26\/(-143). Let k(o) = o - 11. Let y be k(15). Which is the second smallest value?  (a) 13  (b) g  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (13 - 1261\/(-1)) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.1, -2\/5, -2140\/169 in ascending order.\nAnswer: -2140\/169, -3, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5839255g in tonnes?\nAnswer: 0.0000005839255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-53)\/(-106))\/((-2)\/112*-2). Let f(c) = -2*c**2 + 19*c + 25. Let g be f(z). Let p = 129 + g. What is the remainder when 110 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-9)\/(-12))\/((-12)\/(-32)). Let v(f) be the first derivative of -c*f**2 + 4\/3*f**3 + 1 + 1\/4*f**4 + 4*f. Calculate v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 33, 77, 195, 423, 797, 1353, 2127, 3155?\n\"Answer: 6*j**3 + j**2 - j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = 1239 - 1237, -57 = 4*q - 5*n for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13515612971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q - 1 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.055 * 0.19.\nAnswer: 0.01045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 35088 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*x - 3*f - 3, 0 = x + 2*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ydk when three letters picked without replacement from dndyydnaykananayan.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r. Let p be 38\/(3 - 14\/6). Let o(h) = -2*h**2 - p*h + 57*h. Give o(a(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 46 + -1241221?\nAnswer: -1241142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0\/3)\/(-4) - -40. Suppose s = 2*h + 4, 2*h - 4*h = 5*s + v. Let w be s\/12 + 6\/4. Solve -5 = 3*u + b - 4, -b - w = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-15)\/s*s*s\/(s*s\/(s*s**(-7)\/s)))**(8\/7) assuming s is positive.\nAnswer: s**(-184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 10*1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2159, 3, 6, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(4\/3))\/((-43)\/129)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1673 - 1621. Sort -5, p, 0.5, 2\/7 in ascending order.\nAnswer: -5, 2\/7, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n + 5. Let o(f) = -3*f - 6. Let r(z) = 19*z - 41. Let g be r(3). Let k = 13 - 8. Suppose 14 + g = k*c. What is c*x(j) + 5*o(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 217*l - 45*l = 113*l - 590 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 0, -16, -28, -24, 8, 80, 204?\n\"Answer: 2*y**3 - 10*y**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkxxvkkxxx. What is prob of sequence kk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-t**3 + 7*t**3 + 9*t**3)*(-5 - 4 - 6) - 4*t**3 + 2*t**3 + 4*t**3 in the form v*t**2 + b*t + w + a*t**3 and give a.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 4. Suppose 5*h - 2 = 3. Let m = 6 - h. Sort m, z, 1 in descending order.\nAnswer: m, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 596*c = 635*c - 546 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s + s - 5*u - 7, 0 = -2*s + u + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 9 + 11*p + 3*p - 7*p - 8*p. What is x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*w + 1 = 0, -4*w = 2*l + 15 - 5. Suppose l*q + 16 = o, -2*q - 2 = 2*o + 6. Do o and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 495651485 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 35853440 rounded to the nearest 10000?\nAnswer: 35850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 467777\/12 - 39003. Let t = -1201\/84 - o. What is the common denominator of t and (-14)\/(-7) + -4 + (-21)\/(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -48*u**3 + u**2 - u - 1. What is the units digit of t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 220242351 to the power of 1\/2, to the nearest integer?\nAnswer: 14841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 14*o + 18. Let u be w(12). Suppose 1890 = 32*f - u*f. Which is greater: -187 or f?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.4208+0.01724467087\nAnswer: -2.40355532913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -476*d. Let z(u) = u. Give n(z(t)).\nAnswer: -476*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -814 + 2416\/3. What is the common denominator of n and 34\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 50\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-505)\/2)\/(9\/(-18)) - 1. Let s = l + -256. Suppose 2*c - s = -2*c. List the prime factors of c.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + c = -91, -88*i = -87*i - 4*c - 70. Calculate the greatest common factor of 4949 and i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -90155956.999959 + 90155868. Let l = p - -89. Round l to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43396601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (22 + 39) - -30?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w**3 + 2*w**2 - 3*w. Does 6 divide o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2502, -1334, -166, 1002, 2170?\n\"Answer: 1168*h - 3670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-9)\/(-2))*(-216 - -219).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -417 + 417 + 93*w to the form r*w + g and give r.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 782253 and 552.\nAnswer: 6258024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.8 + -0.3. Let o = -25 - -27. Let f be ((-5 + 6)*-8)\/(-1*o). What is the closest to 0 in f, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 195\/(-228) + 1 - 1\/(-24)*-6\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2 + 14491536*l + 57966176.\nAnswer: -2*(l - 7245772)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -173974 divided by -86987.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -31*o**2. Let k(b) = -4*b**2. What is k(z(j))?\nAnswer: -3844*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/3 - 25111*x**2\/3 + 2367061*x\/3 - 55677845\/3.\nAnswer: -(x - 47)**2*(x + 25205)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 14456456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.04, -1, 77\/188, 4 in descending order.\nAnswer: 4, 77\/188, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, 1, -1\/5425?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*x - 98 = 4*x + 26. Let a = -0.3 - -0.2. Put 0.4, a, -2, x in decreasing order.\nAnswer: 0.4, a, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1)\/o*o)**(-4\/9))**(-6) assuming o is positive.\nAnswer: o**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 120.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in 1\/4, -4\/3, 1\/2, 3.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*p - p + 4*p**2 + 4*p to the form m*p**2 + u + z*p and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, w: 2, y: 7}. What is prob of sequence ll?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phhqpiua. What is prob of picking 1 a and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.297 + -0.797. Let d = -85.4 - -85. Which is the nearest to -0.3?  (a) -7  (b) x  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1020 - 110021?\nAnswer: -111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 19 = -5*z. Let k(o) = 11*o**3 + 13*o**2 + 9. Let s(b) = -5*b**3 - 6*b**2 - 4. What is z*k(h) - 9*s(h)?\nAnswer: h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 288*s - 481*s - 1023 = -286*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/2 + 29 + 0. Suppose -133 - n = -v. Let l = -111 + v. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, n: 13, f: 2}. Give prob of picking 1 o, 1 n, and 2 f.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttrtytrxyy. Give prob of sequence tyyr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -261, -540, -891, -1326, -1857?\nAnswer: -2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y + 3. Let h(t) = 4 + 1 - 1 + 1 - 3*t. Let c(o) = 5*g(o) - 3*h(o). Let m(k) = -15*k + 17*k - 14 + 14. Give m(c(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*18*1\/2*755\/1359?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 575 is divided by 168.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - -2 - 7 - (-1 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, d: 1, i: 7, h: 3}. Give prob of sequence ndn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*l**3 - 2346*l**2 + 50988*l + 14760.\nAnswer: 3*(l - 82)*(l - 30)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.15 in -0.3, -1, -79, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 811250813 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -3 - (-17 + 16) - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -v**4\/12 - v**2. Let m(h) be the first derivative of -13*h**2 - 312. Determine m(i(t)).\nAnswer: 52*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13030434 is divided by 4217?\nAnswer: 4121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 424 = v - j, -4*v - j + 1690 = -2*j. Suppose -v = -5*h + 5333. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 260510 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.020786 + 1898340911?\nAnswer: 1898340910.979214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*j + 27*j - l - 5 = 0, -3 = 3*l. Solve -5*n = -5*m + 10, 2*n = 5*m - j*n - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(3\/4)\/n**(-2\/15))\/(n**(4\/5)*(n**0*n)\/n*n) assuming n is positive.\nAnswer: n**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 + 3*v**2 + 0*v**2)*(-4*v**3 - 3*v**3 + 6*v**3) + 646 - 5*v**5 + 54*v**2 - 646.\nAnswer: -7*v**5 + 54*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 7 = -l - 7*g, -4*l + 4*g = -l - 13*l + 33 - 29 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 632*c**3 - 124*c**3 + 134*c**3 + 9 + 1.\nAnswer: 642*c**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 284*f + 27 - 72*f - 15 + 143*f - 11 to the form d*f + u and give d.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51 - 51 - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -32802.1 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1410425899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/5 and -1\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/5))**(-28)*(s*s*s**(-3)*s)**(-3\/8))**(-41) assuming s is positive.\nAnswer: s**(3444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.23888 to three decimal places.\nAnswer: -0.239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 6*k + 8. Suppose -5*p = -k*p - 31. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 48 + -80. Let i = 26 + l. What is the second biggest value in i, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 7*y + 6. Let l(g) be the first derivative of -7*g**2\/2 - 5*g + 2719. Give -2*k(z) - 3*l(z).\nAnswer: 7*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (4*-1*(sqrt(162) + -5 + sqrt(162)*1)*-3)**2.\nAnswer: -25920*sqrt(2) + 96913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13.3 and 10?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6659\/2 - 3330. What is the nearest to -4\/7 in 4\/7, -1\/5, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*r + 22*r - 7977 + 7977.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 84\/63 - 2\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 306, 299, 288, 273?\n\"Answer: -2*a**2 - a + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-6\/5)*c*c\/(c*c**2)*(c**(-21)\/c)\/c**(-9) assuming c is positive.\nAnswer: c**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13146 and -3.\nAnswer: 39438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4490120 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2015669, 2015663, 2015657?\n\"Answer: -6*l + 2015675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6877733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -103, -94, -91, -100, -127, -178, -259, -376?\n\"Answer: -n**3 + 3*n**2 + 7*n - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 2:00 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**4 + 2*g**4 - 3*g**4)*(-1654*g + 1549*g - 2 - 1).\nAnswer: 105*g**5 + 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 16) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 418677 is divided by 700.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 7748629709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - 1470 - 11*p + 7*p**2 - 3*p + 1479. Let k be b(4). What is the highest common divisor of k and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5572\/7164)\/(119\/6)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of -a**6\/360 + a**4\/6 - 23*a**2 + a - 7. Let f(u) be the third derivative of k(u). Let m(o) = 14*o**2. Calculate f(m(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/z**(1\/13)*z*z*(z*z*z**(-2\/25)*z*z*z)\/z)\/((z**(9\/5)\/z)\/(z**(2\/21)\/z)))**(2\/29) assuming z is positive.\nAnswer: z**(83788\/197925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 34835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -19*p - 52. Let k be g(-3). Solve -3*v + 2*r = 2, 5*v + k*r = -9 - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1277)\/(-4) - (75\/12 + -6). Suppose -4*l + m - 287 = 0. What is the greatest common divisor of l and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -38.7, -1\/3, 5, 0.2 in decreasing order.\nAnswer: 5, 0.2, -0.3, -1\/3, -38.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 11*b - 10*b. Calculate the remainder when 65 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12295, -24646, -37031, -49456, -61927, -74450, -87031, -99676?\nAnswer: -112391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 21 = 2*q - 3*q, -5*n = q - 117. Suppose n*m = 27*m - 195. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 6 = -d, -3*d = 7*w - 9*w - 15. Let b be 287990\/(-50) + w\/15. What is b rounded to the nearest one hundred?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - -23. Let a be (f\/4)\/((-1)\/(-4)). Let r = a + -4. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4\/145 - -587\/5510. What is the nearest to -2 in 2, i, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1565, -3125, -4683, -6239, -7793, -9345, -10895?\nAnswer: -12443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v**2 - 12*v - 35. Let s be q(6). Suppose 11*k - 16*k + 47 = 3*h, -k - s = -2*h. Solve -8*g = -k - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -0*h - 35. Let g be (-22)\/(-2) + -1 - -1. Let c = g + h. Solve -2 = 2*d, -c*i + 10 = -7*i - d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 47472*d*u**2 + 35934*d*u + d + 205*u**2 + 90 wrt u.\nAnswer: 94944*d + 410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 9. Let w = 20 + -22. Which is the closest to w?  (a) -2\/3  (b) -3\/7  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 10*t**2 - 28*t - 5. Let a(z) = 18*z**2 - 57*z - 11. Let j(s) = 6*a(s) - 11*b(s). What is the remainder when j(-15) is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 6 + 9)*(3 - 2 - 2)*(-4*s + 3*s + 4*s) to the form z + c*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 1\/1956, -0.2, 2\/7, -2\/11, 5, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1072, -2152, -3230, -4306, -5380, -6452?\n\"Answer: d**2 - 1083*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 5*s**3 - 4*s**2 + 4*s - 14. Let w(h) = 11*h**3 - 9*h**2 + 9*h - 29. Let l(o) = -135*o - 401. Let k be l(-3). Calculate k*w(a) - 9*u(a).\nAnswer: -a**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xyllo. Give prob of sequence lo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 39772933391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5282818649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -167*p - 1311*p - 8123*p.\nAnswer: -9601*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 10 - 24 = -20 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**2 - 19*d - 11. Let f be t(10). Let z be (-4)\/(-1 - f\/(-3)). Solve -b - 16 = z*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.5 + -4.5. Which is the closest to t?  (a) 1  (b) 4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1656440164 to the power of 1\/2, to the nearest integer?\nAnswer: 40699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37565841?\nAnswer: 3, 37, 338431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.23 and 469650.\nAnswer: 108019.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*l + 3188 = 666*l - 11995 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*y**2 - 50*y**2 - 21*y**2 - 7910 + 7908.\nAnswer: -83*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -12*l + l**2 + 2*l**3 + 0*l - 3*l**3 - 11*l**2 + 12. What is the tens digit of b(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - 10*s + 4*s + 6*s. Let w(b) = 11*b. Give w(u(c)).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of 0*y**5 - 1\/40*y**6 + 0*y**4 + 0 + 1\/6*y**3 - y**2 + 0*y. What is the first derivative of t(i) wrt i?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b**5 - 171216*b**4 - 13715592*b**3 - 312503072*b**2 - 1523190396*b - 2113495056 = 0. Calculate b.\nAnswer: -37, -3, 42884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -18*n - 53. Let f be d(14). What are the prime factors of (f\/(-2))\/(1\/8*4)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - 14*d**2 + 12*d - 288. Calculate the smallest common multiple of q(-16) and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 - ((1 + 2 - -2) + -1527 + 1528)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(204) - -2*(sqrt(204)*-2 + sqrt(204)) - sqrt(204)) + sqrt(204))*-2)\/(5*sqrt(972)*-3 - sqrt(972)).\nAnswer: -sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -u + 8. Suppose -o = 2*o - 9. Suppose o*y + u = 4*y. What is the remainder when 74 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 65 and 950\/2*94\/235?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of (-2)\/3 + ((-2276)\/12)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37212 by 6.\nAnswer: -6202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60656328?\nAnswer: 2, 3, 842449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 4*z + 6810. Let f(t) = 2*t + 3412. Give -9*f(s) + 4*i(s).\nAnswer: -2*s - 3468","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 92.0829835 to one dp.\nAnswer: 92.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -3. Suppose -y + 59 = -2*f. Let n be f\/6 + 2 - -2. Which is the second smallest value?  (a) n  (b) 1\/2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 264967.\nAnswer: 1059868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 - 7736*s + 1043840.\nAnswer: 2*(s - 3728)*(s - 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 1\/8*k**4 + 15\/2*k - 7\/2*k**2 + 0 - 3\/8*k**3 = 0.\nAnswer: -5, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 3*r - 17 = -3, r = 3*d + 8. Let v be (-3)\/d - (-3)\/(-6). Let x be (3\/(-9) + 0)\/v. What is the biggest value in x, 3\/2, 3\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3440305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*5*sqrt(57)\/sqrt(192))**2.\nAnswer: 475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -217 + 336. Let j = z - 190. Let s = -67 - j. Is s greater than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4\/5 - 19*k**3\/5 + 221*k**2\/5 + 867*k.\nAnswer: -k*(k - 15)*(k + 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 14, 55, 124, 221, 346?\n\"Answer: 14*l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b**4\/3 - 1280*b**3 + 314784*b**2 - 3640320*b + 10784448 = 0.\nAnswer: 6, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 99 and 6426.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4514498013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.04 + -4. Let z = -0.922 + h. Round z to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28481 and 67411529?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 3. Suppose -w + 99 + 169 = 5*d, d - 2*w = 47. Suppose 5*c - b = c + d, 0 = 5*c - 4*b - 58. What is the greatest common factor of j and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*i - 1936 = -3608 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -49 + 48.544. Let m = 0.4 - l. Let q = -0.056 + m. What is q rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 492492.\nAnswer: 2, 3, 7, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of -5*q**9\/72 - q**5\/10 + 3*q**2. Find the third derivative of s(m) wrt m.\nAnswer: -4200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -64, -736, -2620, -6340, -12520, -21784?\n\"Answer: -104*y**3 + 18*y**2 + 2*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -5.92. Sort -2\/5, 0.1, -0.5, o.\nAnswer: -0.5, -2\/5, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from whwvvehebbbwewbwe. What is prob of sequence ehw?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, 0.03, 86.6302, 1\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3406 divide 52677196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -369 + 368.99999798. Round b to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49 + 53. Suppose 4*c + 5*f = 4*f + 29479997, -12 = v*f. Round c to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m + 34. Let l be c(8). Find q, given that -l*q - 3 - 6 - 2*q**2 + 1 - 4 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2535, 5083, 7645, 10227, 12835, 15475, 18153?\n\"Answer: i**3 + i**2 + 2538*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.4 + -0.2259.\nAnswer: 2.1741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 12 - -5221?\nAnswer: 5233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -25, -36, -33, -10, 39, 120, 239?\n\"Answer: z**3 + z**2 - 21*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 2.8  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2\/35)\/v*v)\/v**9)**38\/(((v*((v**7\/v)\/v)\/v*v)\/v)\/(v\/((v*v**(-1\/10)\/v)\/v))*v**(-4\/11)*v**7) assuming v is positive.\nAnswer: v**(-54471\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - 11*s**2 + 2*s - 6. Suppose 0 = l - 5 + 3. Suppose l*f + 2*f + n = 39, -5*f + 65 = -2*n. Is m(f) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38807918.\nAnswer: 2, 19, 1021261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 589 in -5, -0.3, -25\/2, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 595*b**2. Let v(p) = 4*p - 104. Determine l(v(d)).\nAnswer: 9520*d**2 - 495040*d + 6435520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 17. Put i, 0, 2, -1 in ascending order.\nAnswer: -1, 0, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -83474*w**2 - 3*w + 295290?\nAnswer: -166948*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3042 - -22?\nAnswer: 3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30938 - 19315. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 2*s = 2, 3*h + h = -4*s - 20. Let k be (-185)\/h - (-1)\/2. Does 17 divide k\/6*(3 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of s**4\/12 + 23*s**2\/2 + 10*s. What is the first derivative of u(i) wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*l - 13*l = -104 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.9 + 0.5. Let u be (-6)\/45 - 3\/(-9). Let s = -2520.3 - -2520. Which is the second biggest value?  (a) u  (b) s  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -385 - -380. Let y(k) = k**2 - 9*k. Let p be y(9). Let v be f\/(-75) + (1 - p). Which is bigger: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -203 (base 5) in base 3?\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 626 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((-3*sqrt(98) - sqrt(98))*5)\/sqrt(7))\/(sqrt(63)*4 + ((-1*sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(10)).\nAnswer: -100*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of u**8\/84 + 16*u**7\/105 - u**6\/30 - 8*u**5\/15 - 8*u**2 - 52. Determine f so that g(f) = 0.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(900)*-4)\/(sqrt(1728) + sqrt(1728) + sqrt(1728) + sqrt(1728)*-2) - -2*(-1 + sqrt(243) + 0)**2.\nAnswer: -113*sqrt(3)\/3 + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-2\/13)\/(q*q\/(q\/(q\/(q\/q**(2\/5)*q)*q))) assuming q is positive.\nAnswer: q**(-101\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 2*f - 62. Let k = 38 - 17. Let r be (-14)\/k - (-8)\/3. Solve -3*c + 37 - 3 = -5*o, 0 = -5*o + r*c - f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (64\/176*(-22)\/(-12))\/(-5 + 0)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -203 (base 5) to base 6\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 89684 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 402 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 + 18. Let f = 7 - g. Which is the smallest value?  (a) 5\/2  (b) f  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/9, -0.0798, -44 in decreasing order.\nAnswer: 4\/9, -0.0798, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 530 = 566. Calculate the remainder when (3 - 156\/k)*15 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -168.2 and -0.313.\nAnswer: -168.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 294*y + 5482141*y**2 + y**3 - 5482141*y**2.\nAnswer: y**3 + 294*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 516*v - 10. Let j be n(10). What is j rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/25)\/((-34)\/(26180\/(-2079)))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -64 + 65. Which is the closest to l?  (a) 0.4  (b) 0.6  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (17 - 3*x + 7*x - x)*(0 + 2*x + 0) as r*x**2 + j*x + p and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 13*k - 6. Let p be w(12). Let a be (1 + 0)*p - 2. Is 66 - (1*-4)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 124*s - 253. Give d(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/214553 and -2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*((3 - 3) + 1). Let m(d) = -3*d + 13. What is m(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -ce?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-81)\/(-135))\/(35*(-22)\/(-275)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c - 1149520 + 1149520.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 586 - 584. Let n(b) be the first derivative of -1\/4*b**a - 10 + 0*b + 7\/12*b**3. Suppose n(z) = 0. Calculate z.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10032054.6907 + 0.01\nAnswer: 10032054.7007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*b - 3*b + 2*q - 26, 3*q + 6 = 0. Suppose 0 = 2*v - 4*v - b. Let l(o) = 3*o**2 + 3*o + 12. Calculate the remainder when l(v) is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21 - -7. Let f = 23.7 + -19.73. Let w = f - 0.97. What is the closest to p in -3, 3\/4, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 0.186?\nAnswer: 0.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 850298597, 850298598, 850298599, 850298600, 850298601, 850298602?\nAnswer: 850298603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 890219, 890249, 890307, 890399, 890531, 890709?\nAnswer: 890939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 734, 416, -454, -2152, -4954, -9136?\n\"Answer: -46*l**3 + 4*l + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of 2*n**4\/5 - 286*n**3\/5 - 153*n**2 + 436*n\/5 + 855. Solve t(d) = 0 for d.\nAnswer: -2, 1\/4, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand n - 1 + 1 + (17355 - 8076 - 7635)*(-2*n + 3*n + n).\nAnswer: 3289*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 7:56 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (2 - (6 + 0)) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 26 = 3*s, -3*s + s - 3*i + 11 = 0. Let t = 76 - 47. Calculate the remainder when t is divided by s + 40\/2 + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9660*c**3 + 3164*c**3 - 1689*c**3 + 3419*c**3.\nAnswer: 14554*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6606817 and 6185?\nAnswer: 33034085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zlzqzllqlllql. Give prob of sequence qqqz.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**8\/(i*i**(-7)*i*i))**30 assuming i is positive.\nAnswer: i**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140203 = -5655*s - 97307 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**3 + 962846*w**2 + 102078530*w + 2705229922 = 0 for w.\nAnswer: -53, 481529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195827 is divided by 446?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -12\/7*y**2 + 16\/7 + 4\/7*y**3 + 0*y = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1888*s - 1 - 4078*s - 1 + 3.\nAnswer: -5966*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2444402 is divided by 1262.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -13*b + 7. Let y be l(-2). Let h = y + 736. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*u - 5, 0*u + u = -4*w - 15. Let l(i) = -8 + 11 - 4*i + 5*i + 8. Determine l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 - 4*w + 32. Let z be f(-8). Suppose 2*l - t = 3 + 1, z = l - 3*t - 2. What is the smallest common multiple of l and 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.6  (b) -2\/13  (c) 4  (d) 191\/6  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a*r**4 - 5645*a*r**2 + 1351*a*r + 2*a - 8*r**4 - 12*r wrt r?\nAnswer: -12*a*r**2 - 11290*a - 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -82 + 89. Let j(d) = 10*d**2 - 6*d - 19. What are the prime factors of j(y)?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 841.0470002 rounded to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**3 - 66*w**2 + 72*w + 136.\nAnswer: -2*(w - 2)*(w + 1)*(w + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 65*g**2 + 2*g + 1. What is the tens digit of j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -835, -858, -895, -946, -1011, -1090?\n\"Answer: -7*n**2 - 2*n - 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 74949264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 299, 1095, 2431, 4313, 6747, 9739?\nAnswer: 13295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of s**3\/3 + s**2 - 4*s - 4. Let m be n(-4). Suppose g + m = 2*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -6*u. Suppose a = -u*a. Solve a*c - 8 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1816166.\nAnswer: 2, 11, 31, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 - 2.2. Let r = 0.136 + 0.164. Suppose 2*w + 13 = 4*i - 15, -w - 2*i = -10. What is the nearest to w in r, n, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6765 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -5*z**2. Let l(u) = 135518*u. Calculate o(l(j)).\nAnswer: -91825641620*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2403047.2 + 541.9?\nAnswer: 2403589.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 408 + -0.0135645.\nAnswer: 407.9864355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05 - -29435.\nAnswer: 29435.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of y**5\/120 - y**4\/24 - 2*y**3\/3 - 3. Let a(u) be the third derivative of s(u). Let n(k) = -2*k**2 - 1. What is -a(z) + n(z)?\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 + -11. Suppose 9*d - 2*d = 14. Solve 1 = -3*x - 2*r, -u*x + x - 17 = -d*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30 (base 4) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 30 + 5. Suppose -2*a + b*u + 16 = 0, -5*a + 16 = -3*a + 5*u. Calculate the smallest common multiple of a and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - g = -42. Let k be 4\/g - 12\/42. Let s be 4\/((-2)\/5*1). What is the smallest value in s, k, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -170*j - 285. What is the tens digit of g(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.022471 rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 498956 and 79583482?\nAnswer: 159166964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**4 - 4*k**2 + 4*k**2 + (-69*k**2 - 54*k**2 + 218*k**2)*(-42*k**2 - 38*k**2 + 29*k**2).\nAnswer: -4846*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -16\/198555 and -67\/3253740?\nAnswer: 100865940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**3 + 20*b**2 - 24*b + 2. Let z be t(-10). Suppose -12*i = -23*i + z. Calculate the least common multiple of ((-2)\/4)\/(1\/(-32)) and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -418 (base 9) in base 2?\nAnswer: -101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1922.9998211 + -1923. Round q to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 230*i**5 - 147742*i**3 - 66148390*i**2 wrt i?\nAnswer: 13800*i**2 - 886452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8164 + 23685 = -120*k + 4241 for k.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 887767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*m - 17 - 18. Suppose 0 = -5*h + 4*h + m. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13413, -5, -151 in descending order.\nAnswer: -5, -151, -13413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -2. Let x(o) = o**3 - 17*o**2 + 4*o - 38. Let f be x(17). Let i be (-72)\/351 + 3 + f\/(-9). Is m not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 2 m, and 1 q when four letters picked without replacement from hfhjhfjmhqmb.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of o**3\/3 - 1. Let s(n) = 4*n. Suppose -4*z = -11*z + 7. Let b(p) = -p. Let j(g) = z*s(g) + 5*b(g). What is j(v(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -2*d + 36, 20183*d - 27 = 3*j + 20091*d for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 2092 = 420. Let x = 202 - d. Let l be 2 + 24\/(-21) + -1. Which is the nearest to -1\/3?  (a) -3\/7  (b) l  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 46 + 104. Let u = s - -52. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -17\/12  (b) 0.1  (c) -2\/5  (d) 0.8  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - w + 12 = 0, w + 1 = 4. Let z = 3 + 0. Calculate the remainder when ((-4)\/n)\/((-2)\/6) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110010 + -1012?\nAnswer: -1111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.021 times 0.45\nAnswer: -0.00945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 218076 and 5763?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -59 - -71. Let m = 13 + x. Suppose 5*o + m = 225. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - -1) + (61 + -19 - 32).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 1. Let q = 1.0962 - 40.0962. Which is greater: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 237266*o + 118474*o + 118528*o.\nAnswer: -264*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 21*d**2 - 229*d - 502. Let p(x) = -9*x**2 + 115*x + 250. Let u(c) = 2*h(c) + 5*p(c). Let u(r) = 0. Calculate r.\nAnswer: -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 15*c**2 + 2*c - 29. Let g be b(15). Let t(d) = -d. Let y(w) = -7*w. Determine g*y(p) - 2*t(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + m**4 + 4\/3*m - 1\/3*m**3 - 4*m**2 = 0 for m.\nAnswer: -2, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -638 and -1486404717545?\nAnswer: 1486404716907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -y + 15, 25 = y - 0*l - 4*l. Which is the smallest value?  (a) -2\/23  (b) y  (c) -5  (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-55)\/110)\/(1\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -4*b - 18, 0 = j + 4*j + b - 30. Let d(q) = -q**2 + 8*q - 7. Let c be d(j). Suppose 5*a - 7*a - 2 = 5*n, c*a = n + 49. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -2\/87, -0.5?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 111\/4 - 28. Let w = -17\/45 - -3\/5. Which is the closest to n?  (a) -1\/4  (b) -0.2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*r + 7*r - 135 + 134 + (-3 + 2 + 2)*(2 - 3*r - 2) as b*r + n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12913105 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 50648502 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 + 32*a**2 - 284*a + 1779. What is u(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -276365875*f**3 - 4*f**2 - 147500*f + 5 wrt f?\nAnswer: -1658195250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 61250673599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccxx when four letters picked without replacement from {x: 8, c: 8, q: 2}?\nAnswer: 98\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (0 - (4 + -7)) - (13 + -18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + -13. Solve 2 = -c*w + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16154 or -161541\/10?\nAnswer: -161541\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 90\/(-20) + (-35)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 756\/(-168)*4\/(-36)*-3*(-1330)\/35?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/6310850 and -31\/124488.\nAnswer: 227190600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.5, -2497, -21.\nAnswer: -2497, -21, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -1040*r - 611. Determine p(2).\nAnswer: -2691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 5182\/4)*(-2)\/3. Let a(d) = -148*d**2 - 3*d + 3. Let x be a(-4). Let c = f + x. What is c rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32498599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 - 22*b**3 - 35 + 35)*(-1 + 3 + 0)*(4 - 9 - 2*b - 2).\nAnswer: 88*b**4 + 312*b**3 + 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + -2 - (56 + -63)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 78*b**2 + 1342*b + 53. Give y(-17).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6, 19, 48, 99, 178, 291, 444?\n\"Answer: h**3 + 2*h**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 215, -5, 5.\nAnswer: -5, 5, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (-78)\/(-12))*(-12)\/(-42)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - -35. Let o = -32 + u. Let l = o + 13. What is the biggest value in 3, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 227, 276, 349, 440, 543?\n\"Answer: -z**3 + 18*z**2 + 2*z + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*a**4\/7 + 12*a**3 + 150*a**2\/7 + 72*a\/7.\nAnswer: 6*a*(a + 1)**2*(a + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27294*q**2 + 27236*q**2 + 578*q - 578*q.\nAnswer: -58*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gususagugsg. Give prob of sequence ag.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25999 + -26732.65. What is u rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -590 - 184. Suppose k - 4 = 0, -2*i - 19 + a = -5*k. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 + 630204*f - 1. Let s(p) = 2*p - 3. Calculate s(z(g)).\nAnswer: -2*g**2 + 1260408*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (117\/156)\/((-189)\/28). Which is the second smallest value?  (a) 101  (b) w  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**2 - 30*o + 35. Let d be g(15). What are the prime factors of (-1)\/(-5) - (48104\/d)\/(-8)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1111000101001111010 (base 2) in base 15?\nAnswer: -9b66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2884 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -13500.033 and 2.\nAnswer: -13498.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 98186 divided by -3?\nAnswer: -98186\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20475 + 2*n - 40955 + 20481.\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 22762 divided by -1?\nAnswer: -22762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -2*t - 24, 3*t + 2*t = -5*s + 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - k - 5*j = -4, -3*k + 8 = 4*j. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 338497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 132287079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uluc. Give prob of sequence lccl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 24813510, 24813513, 24813516?\n\"Answer: 3*c + 24813507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 4*r**2 + 285*r + 263*r + 4 - 549*r to the form c + z*r**2 + y*r and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*p**3 - 4203 + 2*p**3 + 69*p**5 - 4*p**2 + 4202 wrt p?\nAnswer: 4140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15\/17, 0.4, -4, 5\/6, 1416 in descending order.\nAnswer: 1416, 5\/6, 0.4, -15\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - o - 1. Let x = 2 + -3. Let j(h) = -10*h**2 - 6 - 2*h + 4 - 3*h**3 + 5*h**2 + 9*h**2. Let f(k) = x*j(k) + 2*i(k). Factor f(v).\nAnswer: v**2*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -345577 not equal to -691155\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of -m**4\/12 - m**3\/3 + 5*m**2\/2 - 2*m. Suppose 2*k + 0*k = -3*a - 7, 5*k = 4*a + 40. What is y(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 w when four letters picked without replacement from {w: 3, o: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of 1\/12*t**4 - 10*t**2 + 0*t**6 + 0 + 47\/6*t**3 - 2*t + 3\/70*t**7 + 0*t**5. What is the first derivative of p(z) wrt z?\nAnswer: 36*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 769, -3, -99, 2, -12 in decreasing order.\nAnswer: 769, 2, 0, -3, -12, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 774415*z**2 - 2460293 wrt z.\nAnswer: 1548830*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 61 = 4*y + 9, y = -3*v + 23. Let m = y + -32\/3. Put -0.3, 4\/5, -0.4, m in decreasing order.\nAnswer: 4\/5, m, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j + 16*j - 14*j. Let f(i) = 31*i. Determine a(f(b)).\nAnswer: 124*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.47501 and -0.1407.\nAnswer: -1.61571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 - 33*k**2 - 88*k - 2925. Give f(-33).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 - ((-12)\/4 + 4). Suppose -p*n - 4*a = -a - 27, 5*n + a = 65. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1053.3 - -1053. Sort -9, 1.3, 4, -2\/7, l.\nAnswer: -9, l, -2\/7, 1.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/950 and -91\/200.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, o: 7, e: 2}. Give prob of picking 1 e and 1 o.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 701568.79898 - 701578. Let c = -9.2 - k. Round c to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkkkkkkkkku?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*y = -0*y + 174, -3*x + 5*y = 137. Let h = -16 - x. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 12*t + 7. Let z be -9*-3*(-4)\/(-36). Suppose -z*l + 0*l + 18 = 0. What are the prime factors of f(l)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -3*y**2 + 83763*y + 73366050 = 0?\nAnswer: -850, 28771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of 49*s**5\/5 - 2*s**3\/3 - s - 51. Find the third derivative of m(j) wrt j.\nAnswer: 1176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2996, 2982, 2952, 2900, 2820, 2706, 2552?\nAnswer: 2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (-18 - 5 - -26)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 7. Suppose 0 = -c*o + 14 + 6. Solve -o*a + a - 28 = 2*w, 0 = -w - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -53*x - 340. Let h be s(-11). Suppose 244*y - 2 = h*y. Let 3\/5 - 1\/10*u - 1\/10*u**y = 0. Calculate u.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 684 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((p + 0*p + 2*p)*(p**4 + 0*p**4 + p**4) + 6*p**5 - 3*p**5 + 3*p**5)*(-2 + 2 + 1 + (-4 + 3 - 2)*(2 - 1 - 2)).\nAnswer: 48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*l - 155 + 365 = -29*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 105\/(-45) - (-1 - (-2 + 3)). Let z = -7 + 8. Suppose 3 = -x - z. What is the smallest value in x, c, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2\/3, -1\/8, 8\/17 in decreasing order.\nAnswer: 2\/3, 8\/17, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8562.00041348 + -8562. Round h to five decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of 0*u**3 + 0*u + 0*u**4 + 0 + 1\/105*u**7 - 1\/112*u**8 + 0*u**6 + 6*u**2 + 0*u**5. Factor q(d).\nAnswer: -d**4*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49626719 is divided by 1170.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 3*o + 309 = 5*b, -5*b - 3*o + 291 = 0. Suppose -8*d + 4 = -b. Calculate the least common multiple of d and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -1\/6  (b) -5  (c) 1.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 24*o - 41 = 0, 49*o = -4*y + 52*o - 22 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112809 = -2*k + 20*k + 13*k. Is k less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times 7?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 378057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d + 4*d - 3*d)*(24 + 2 - 2)*(0 + d**2 + 0 - 2*d**2 + 5*d**2 - 4*d**2 + 6*d**2 + 1 - 1 + (4*d - d - d)*(-d + 3*d + 0*d) + d - d**2 - d).\nAnswer: -432*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/105)\/((-26)\/182)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 2:09 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 6 = -8. What is the smallest common multiple of 20 and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/((-5)\/4) + 0\/4. Suppose -10*o**4 + 5*o**f - 4*o + 16*o**2 - 5*o**3 - 20*o**4 = 0. Calculate o.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17853755 and 77585?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 588*r + 6536*r - 163091 + 214747 + 368660 = 0 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/20)\/(-1)*-50. Let p be ((-2)\/(-4))\/(1\/12). Solve -y - v = -p*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1000 = -16*c + 11*c, 3*c + 12 = 0. Let l = 835 + u. What are the prime factors of l?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1510.178275 minus 3.7457?\nAnswer: -1513.923975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 16*q + 1. Let u be f(5). What are the prime factors of 4\/(-8) + u\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 6*r**2 + 6*r - 2. Suppose 2*p + 5 = -k, -14*k - 20 = -15*k + 3*p. Give n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 11*v + 30. Let s be k(-11). Solve 826*y + s = 820*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t. Let k be 2\/(-3) - (-248)\/12. Suppose 0 + k = -4*o. Give g(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 4*b + 242 = b, -234 = -5*m + b. Let u = 23 + -12. Suppose -3*a + 4*a = -o + u, -4*a - 20 = 0. What is the remainder when m is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 + 7*i - 10. What is w(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, v: 3, j: 7, i: 5}. Give prob of sequence vvj.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 318\/3*3741\/58?\nAnswer: 3, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 333 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/5)\/(236\/40 - 6). Suppose -v*a + 4668 = 4*b, 0 = -5*a + 10*a + 15. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(231\/4))\/((-23)\/(-483)*-18)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -2189100 to the nearest 10000.\nAnswer: -2190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3 - 5)\/((-4)\/(-34))*-367?\nAnswer: 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 2*l - k - 65 = 0, -3*l = -k - 49. Let x(a) = -8*a**3 - 343*a**2 + 39*a - 152. Let p be x(-43). Solve 21*q - p = l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1186, -1152, -1118, -1084, -1050, -1016?\n\"Answer: 34*g - 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -2)*(9 - 21\/2). Solve g + n = -4, 2 = -g + o*n - 2*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in 1\/8, 4, 98, -0.01, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 150 and 321750.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/4)\/(4*44\/32)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 - (45 - 113 - -52).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44674*x - 285 = -44679*x for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 4*n**3 + 2 - 3*n**3 - 4*n - 3 + 2*n**2. Let j be s(-3). Suppose -j*t = -4*h + 10, 2*h - h - 5*t + 20 = 0. Solve h*z - 4 = 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1146 + 90 = 132*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 3*c + 30 = 0, -45*q + 44*q + 5*c = -50 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -20 - (1 + -3 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5918 and 341?\nAnswer: 183458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(33) - sqrt(825))\/sqrt(3) - (sqrt(1331) + 0))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -5*d - 15, 4*f - 6 = -d + 2*d. Let h be 1 - (3\/(-3) - -1). Calculate the highest common factor of f and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/122433 and -13\/38325.\nAnswer: 1564081575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of 2*p**3\/3 - p. Let i be q(-8). Let c = -22 - i. What is the remainder when 18 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - n = 11, -2*v + 0*v + 5*n + 22 = 0. Suppose 4*h - v*h = 938. Let b = -86 - h. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 4*y + 152. What is the nearest to 1 in 0.4, -0.3, y, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/(-30) + (-330)\/(-7425) and 28\/843?\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -60142 (base 7) to base 6\nAnswer: -151021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -101.3 - -101. What is the second smallest value in 3, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -350000*n. Let c be v(-9). Suppose -10*u = 5*u + c. What is u rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/591 in 13, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/683674 and -77\/88216.\nAnswer: 2734696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1612\/(-3627)*((-9)\/142)\/(-1)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 4, -12, -37, 13, -1 in ascending order.\nAnswer: -37, -12, -7, -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in three sixteenths of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*y**2 + 18*y - 18*y + 2*y**2 - 2*y**2 - y**2 + (0 - 3 - 1)*(9 - y**2 - 9) to g*y**2 + h + t*y and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*m*r**4 - 2*m*r - r**4 + 9*r**3 + 43*r**2 wrt r?\nAnswer: 288*m*r - 24*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 18 - 1277?\nAnswer: -1258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vbvbbtbtvvv. What is prob of sequence btt?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 3*g = -3*o + 473, -o = -5*g + 2349. Suppose 6*i - g = i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1505702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 7*t**3 + t**2 + 8*t - 18. Let x(g) = g**3 + 2*g - 1. Give -f(l) + 5*x(l).\nAnswer: -2*l**3 - l**2 + 2*l + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen sixteenths of a centimeter in micrometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-4 + 3 + sqrt(2299)*-2 + 1 + (sqrt(2299) - 2*sqrt(2299)) + -1*sqrt(2299) + 5)**2*2.\nAnswer: -73618 + 880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 53 + 53*b + 60*b - 6*b**2 - 104*b. Is p(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k**2. Let y be 578\/8 - (-3)\/(-12). Suppose y = -v + 3*v. Let x(s) = 36 - 2*s - v. What is x(u(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*w - 10*w - 42*w - 24*w + 0*w**2 - w**2 as q*w + b*w**2 + y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 763 and 436?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11956 divided by -1.\nAnswer: 11956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*x + 43*x - 15*x)*(-13 + 21*x + 17*x - 44*x).\nAnswer: -246*x**2 - 533*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 1872?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 29 + 19. Is (32\/y)\/((-4)\/(-12486)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/656004 and 71\/60.\nAnswer: 3280020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + 8*b + 8*b**2 - 14 + 2 + 6*b**2 + 2*b**2. What is the remainder when w(-11) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.17 + -0.17. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 33 + 13 = 0. Let z = 32 + h. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 28\/(-16)) + 16\/192?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24998 + -24995. Let h(s) be the third derivative of 0*s + 0 + 1\/12*s**4 + 0*s**j - 27*s**2. Let m(l) = -3*l**2. What is m(h(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-36)\/(-81) - (-1628)\/(-18). Let k = a - -97. Let s = 3 - 1. Solve k = -3*r - s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 247900609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (-2750)\/209 - 21165\/969.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 take away -31.6?\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6432.2 + 6432. What is the smallest value in z, -0.4, 1\/4, 51\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -206, -203, -196, -185, -170, -151?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 1 - 1)*(5*f**2 - 4*f**2 - 4*f**2 + 1 - 1 + f**2 + (2*f - 6*f + 2*f)*(-7*f + 2*f - 4*f)).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 - 3*o - 2. Suppose 38*v + 103 = -49. What is x(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 2 + 1. Let b(i) = 1. Let o(a) be the first derivative of a**2\/2 - 7*a - 15. Give j*o(p) - 3*b(p).\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(sqrt(64)\/sqrt(32)) + 4*(-1 + sqrt(176)) + ((sqrt(11) + -5 + (sqrt(11) + 0 - sqrt(11)))*-6*-4)**2 + 1.\nAnswer: -5742*sqrt(11) + 20733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyygyifgvfyfkffvf. Give prob of sequence yfy.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 5*z**2 + 3*z**2 + z**2. Let b(l) = -8*l + 65. Let t(r) = 37*r - 299. Let x(m) = 46*b(m) + 10*t(m). Give x(h(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 43.3 from 0.321.\nAnswer: -42.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(-3) + (70 - 0). Suppose -5*k = -5*l + 30, -5*k + m = 2*l + 2*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-seven fifths of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**5*y)\/((y\/y**(1\/10))\/y))\/(y**5*y*y\/(y*y**14*y*y)*y) assuming y is positive.\nAnswer: y**(151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 139668, 1117413, 3771320, 8939469, 17459940?\n\"Answer: 139680*u**3 + u**2 - 18*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 2 - 2. Let z(b) = -3*b**3 - b**2 + 1. Let w be z(d). What is the second derivative of u**3 - 3*u + 2*u**3 - u**w wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 5 = -2*b. Suppose -3*k = -k + t - 376, b*k = -5*t + 940. Suppose -2*p - 5*l + 89 = 0, l - k = -5*p - 0*l. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90552300017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (64 - 240 - 167 - 101)*(-5*b + 17*b - 5*b).\nAnswer: -3108*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 225 and 2822?\nAnswer: 634950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 5, h: 4, l: 8, t: 2}. Give prob of picking 1 l, 1 u, and 2 t.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 4*u + 27. Let m be c(-8). Let p(s) = -s**2 - 6*s - 2. Let r be p(m). Suppose 5*j - 35 = -2*q, r*j = 2*q + 6*j - 41. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -3*w + 58, 5*w + 142 = 5*v - 68. What is the least common multiple of v and 14?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1363\/376)\/(10\/(-80)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((d\/((d*d**(11\/4)\/d*d)\/d)*d)\/d)\/d)\/d**(-1\/9))**21)**(-1\/41) assuming d is positive.\nAnswer: d**(665\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 49  (c) -5  (d) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6990 divided by 10.\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 4*k - 16 = 2*k, -4*t = -2*k - 24. Suppose 0 = 4*n - 3*w - 24, 0 = t*n + w - 2 - 9. Is 0 + n - -103 - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of d**8\/40320 - d**7\/5040 + d**5\/20 + 3*d**2. Let a(z) be the third derivative of j(z). Factor a(n).\nAnswer: n*(n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7\/6, 416.8, -6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -100111011100100100 (base 2) in base 16?\nAnswer: -27724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 x when four letters picked without replacement from {m: 2, x: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 235.496 + 4.504. Which is smaller: d or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + 4*z**2 - 4*z + 1. Let w be a(-5). Let y = w - -2. Sort 0, 2, y.\nAnswer: y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -9*s**3 + 2*s**2 - 2*s - 2. Suppose 0 = 4*l - 2 - 6. Suppose n + l = -0. Let r be u(n). What is r rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of x**6\/15 + 2*x**3\/3 - 71*x**2\/2 - 5*x - 9. Differentiate d(t) with respect to t.\nAnswer: 8*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 + 27 + -25 + 12 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -65 + 64.9321. Let a = o + -0.0321. Let d = 6.4 - 6. Put d, -0.08, a in decreasing order.\nAnswer: d, -0.08, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) - sqrt(77)*-3*-4)\/(-1*3*sqrt(11)).\nAnswer: 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -3*w**2 + 15*w - 18 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126 and 451206?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*r + 7*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -5*m + 108. Let r be 3\/(-4)*(-90)\/9*-2. Let b = r + m. What is the remainder when 22 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -39, -50, -69, -96, -131, -174, -225?\n\"Answer: -4*f**2 + f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (22 - 12 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 279184 and 6?\nAnswer: 1675104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 3*p + t, -3 + 7 = -2*t. Let o = p + -4. What is the derivative of 19*d - 19*d + 2 - 2*d**o wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 80 (base 9) to base 15\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 + 8*m**2 + 12*m - 22. Let g be x(9). Let p(f) = -f + 1. Let u be p(g). Let w = -15 + 13. Which is the nearest to 0.1?  (a) w  (b) u  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 4*p + p = -12, 2*m - 3*p - 9 = 0. Let q be (8\/m)\/(8\/12). Solve -q*i = -5*z - 33, -z - 3*i + 2*i - 3 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = 5*s - 76, 4*s - 538 = j - 485 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 3 - 2. Let s = -3 + p. Let j be 36\/(-10)*s\/(-6). Which is the second smallest value?  (a) j  (b) -0.06  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 11) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49 - 7. Calculate the greatest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 81 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 - 4*l - 3. Calculate c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -1, 5, 15, 2, -5, 24 in descending order.\nAnswer: 24, 15, 5, 2, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -1438.45518 to the nearest 10.\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21382817 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-25))\/(((-56)\/20)\/((-70)\/20))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6109976720.\nAnswer: 2, 5, 4451, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2181, 2183, 2185, 2187, 2189, 2191?\n\"Answer: 2*j + 2179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of 0*x + 0*x**5 + 13\/120*x**6 - 2 + 0*x**3 - 14*x**2 - 11\/24*x**4. Find the second derivative of i(r) wrt r.\nAnswer: 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(125) + 3) + -5 - (1*sqrt(880))\/(sqrt(33)\/sqrt(48)))**2.\nAnswer: 336*sqrt(5) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, 46, 178, 436, 862, 1498?\nAnswer: 2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*i**3*j**3*u - 10*i**3*j - 570*i*j**3 - 16205*j**3*u wrt u?\nAnswer: -2*i**3*j**3 - 16205*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10415732\/165 + -63126. What is the common denominator of q and -21\/40?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(612) + 1 + sqrt(612) - sqrt(612))*-2 + 2 + (sqrt(612) + 1 - sqrt(612))*-1 + sqrt(612))*-6)**2.\nAnswer: 10800*sqrt(17) + 551700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-32)*100\/(-15)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -6. Let t be 1 - l - (-20)\/(-9). Let w = 611\/10 + -303\/5. Do w and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-55)\/165)\/(((-1)\/(-12))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1168213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from aaavaapfaampjv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13433468 to the nearest integer?\nAnswer: 3665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*35\/((-525)\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29282*o = -5*x - 29285*o - 2, -4*x + 2 = 3*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -5 + (7 - (3 + -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -84, -2, 7 in increasing order.\nAnswer: -84, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 896 a factor of 164324608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c + 226 - 642 = 0. Calculate the remainder when c is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2426.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 528 and 242286.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 17.18. Let n = -0.12 + l. Which is the third smallest value?  (a) -3  (b) n  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8085341\/65094 - -2360\/19. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j**2 + 18*j - 7. What is w(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -m - 52 + 7, -4*m = -3*r + 44. Solve 14*k = r*k + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**2 + 12624*v + 0*v**2 - 12624*v - 8*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -355184, -710355, -1065526, -1420697?\nAnswer: -1775868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, 3\/2, -7, -4, 4, 5.7, 0.2 in descending order.\nAnswer: 5.7, 4, 3\/2, 0.2, -0.6, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -239, -440, -537, -470, -179?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -15  (b) 3  (c) 163  (d) -1  (e) 5  (f) 5\/4  (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31676*c - 146624 = -31660*c. Which is bigger: c or -9163?\nAnswer: -9163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8.5 + 6. Let b = -18.5 - -19. Let h = b - o. What is the closest to -1 in 0.2, 2\/5, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 26. Solve 3*l + q = t, 10*q = -l + 5*q + 17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b + 2. Let t(z) = -1. Let p(h) = -r(h) - 4*t(h). Let n be p(0). Let f(u) = -5*u + 4 - 3 - n. What is f(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - 6*k - 24. Let p be d(9). Suppose 40 = -l + p*l. Let q(g) = g + 140. Let x be q(0). What is the greatest common divisor of x and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/3 + 1882*x**2\/3 + 147680*x.\nAnswer: -2*x*(x - 1136)*(x + 195)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3.6 in -1\/6, 35, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -322, 7240 in descending order.\nAnswer: 7240, -3, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.65 minus -0.2697?\nAnswer: -0.3803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from {i: 5, k: 3, j: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-1))**(1\/51)*(y\/(y\/y**2))\/((y*y**(-12)\/y)\/y) assuming y is positive.\nAnswer: y**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 265, 374, 485, 598, 713?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -3.9. Let q = -27 + 31. Suppose q*p + 15 = -1. Which is the closest to s?  (a) p  (b) 0  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9462295*h*p + 6986455*h wrt p.\nAnswer: -9462295*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, -49, -102, -175, -268, -381?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6673 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 32368\/924 + -35 + (-150)\/(-8118)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4235)*-1 - sqrt(4235))*3 - sqrt(4235)*2*3)\/(sqrt(280)\/sqrt(10) - sqrt(7) - (sqrt(49)\/sqrt(28) - sqrt(7))).\nAnswer: -88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x = 4*o - 7*x - 289, x = -o + 72. Calculate the remainder when o is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1095252960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 27 = 33. Let c(z) = z**i - 2 - 2 - 18 - 4*z - 10. What is the units digit of c(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + a - 5*a + 224 = -x, -3*x + 15 - 180 = -33*a for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19410 - 19412. Suppose 28 = 3*h - w, 3*h - 2*h + w - 8 = 0. Let o(t) = -2*t - 3. Let d be o(-3). Put q, h, d, 1 in decreasing order.\nAnswer: h, d, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*b + 248 = -21*b - 400 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**3 + 3*i**3 - i**3 + (3*i - i - 3*i)*(-2*i**2 + i**2 + 0*i**2) + 1 - i**3 - 2 + 5*i**3 + i**3 - 2*i**3 + 2*i**3.\nAnswer: 8*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3276566272.\nAnswer: 2, 7, 47, 38903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6237\/(-22176)*-13*28\/(-21).\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, u: 12, g: 2}. What is prob of picking 3 u and 1 p?\nAnswer: 33\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6  (b) -0.19  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -331 - 274 + 640 + c**3 - 221.\nAnswer: c**3 - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1082394?\nAnswer: 2, 3, 60133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**4\/4 + 945*m**3\/4 - 936*m**2 + 933*m.\nAnswer: -3*m*(m - 311)*(m - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -961705051\nAnswer: -961705055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -92101223*v**3 - 593*v + 370578?\nAnswer: -552607338*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1317, -1745, -2173, -2601?\n\"Answer: -428*t - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**3 - 4*q**3 - q**4)*(5 - 12 + 6 + (1 + 0 + 1)*(-2 + 0 + 4)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 29044702 to the power of 1\/2, to the nearest integer?\nAnswer: 5389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**2 - 2*u**2 - 16*u**2)*(-5*u + 5*u - 3*u**3).\nAnswer: 66*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**2\/13 - 111406*b\/13 - 4725588 = 0 for b.\nAnswer: -55146, -557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -4*x - 13*x - 9 + 2*x. Let a be h(-6). Let g = a - 33. Calculate the greatest common factor of g and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 111?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p**2 - 36 + 36 + 19*p**4 + (-p - p**2 + 5*p**2 - 2*p**2)*(-2603*p + 193*p**2 + 2603*p) in the form g*p**3 + o*p**2 + h*p + i*p**4 + s and give i.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(1\/4))\/t)**9*(t*t\/(t\/t**0))**(-10\/9))**(-21) assuming t is positive.\nAnswer: t**(-287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*b**3 - 34*b**3 - 98*b**3)*(-4 + 4 + b)*(0 - 1 + 5)*(2 - 2 + 2).\nAnswer: -1112*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 199 and 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 13*z + 9. Let r(c) = c**2 - 14*c - 10. Let o(i) = -4*k(i) - 3*r(i). Let d be o(11). Let b = d - -2. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, y: 15}. Give prob of picking 2 w and 1 y.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 848644, 848622, 848600, 848578, 848556, 848534?\n\"Answer: -22*k + 848666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -9 + 2 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b + 31. Is i(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 22\/45 and -3 - (-42)\/(-9)*50\/(-91).\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, n: 9, y: 2, e: 3, t: 1, u: 3}. What is prob of sequence yny?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -208, -298, -388, -478, -568, -658?\n\"Answer: -90*f - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-2*sqrt(228) + sqrt(228) - sqrt(228) - sqrt(228))*-1)\/(-3*sqrt(108) - 2*sqrt(48)).\nAnswer: 6*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/39 - (-2812)\/(-26). Let u = q - -195. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kaffjkkk. Give prob of sequence akjf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -130*n*z**4 - 2*n*z + 2*z**4 - 7 wrt z?\nAnswer: -1560*n*z**2 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 139*y**2 - 160*y + 10. Let k(s) = -209*s**2 + 224*s - 15. Give 5*k(b) + 7*n(b).\nAnswer: -72*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 11\/24 - (75\/24 - 3). Solve -2\/3*a**2 + 1\/3*a + 0*a**3 + 2\/3*a**4 + 0 - r*a**5 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + sqrt(4)\/sqrt(2)*4 + (sqrt(288) + sqrt(288) + 1)**2 + (sqrt(162) - (1 + sqrt(162) + -4)**2).\nAnswer: 116*sqrt(2) + 982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0014466102 rounded to five decimal places?\nAnswer: 0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 6*i - 108380646 = 0. Let t = i - -4822786. What is t rounded to the nearest one hundred thousand?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 AM and 11:25 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**0\/m*m\/(m**(3\/2)*m) assuming m is positive.\nAnswer: m**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2142\/918*5\/28?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -52 - (-1 - (-15 + 23)) - (-6 - 11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-4 + 36\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**2. Let j(o) = -52632*o**2 - 1892*o - 473. Let i(r) = 223*r**2 + 8*r + 2. Let w(t) = -473*i(t) - 2*j(t). Give y(w(p)).\nAnswer: -92450*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13819915, -27639836, -41459757, -55279678, -69099599?\nAnswer: -82919520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 14*u - 25. Let r be d(10). What is the third derivative of 22*t**4 - r + 44*t**2 + 4*t**4 + 15 wrt t?\nAnswer: 624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence utt when three letters picked without replacement from {j: 3, u: 6, t: 6, w: 1, z: 1, x: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p**3 - 25*p**2 - 14*p + 18. Let g be f(13). Suppose g*n - 69 = 101. Solve 13*z + n = -31 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 294892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -16 + 17 - (-9 - -1). Solve 40 = 4*o - u*o - 5*g, 0 = -3*o - 2*g - 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 53 + -8. Let z = d + -41. What is the least common multiple of z and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 70 + -66. What is the remainder when 13 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 11, b: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12090 rounded to the nearest one hundred?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -497\/36 - -57\/4. Suppose -4\/9 - 4\/9*h**4 - 4\/9*h**5 - q*h + 8\/9*h**2 + 8\/9*h**3 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13813*l**3 - 13818*l**3 + 16 - 16.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5592 + -3845. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + 4*i**3 - 33 + 32*i**3 + 9*i**3.\nAnswer: 45*i**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.92 + -0.08. Let f = 10 + -9.3. Let t = f + -0.2. Which is the second biggest value?  (a) w  (b) t  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) 1.67  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2538260?\nAnswer: 2, 5, 126913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1910, 1906, 1904, 1904, 1906, 1910, 1916?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20033 and 223847?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38 - 37.7. Let y be ((-3)\/(-2))\/((-264)\/(-32)). Let c = 1.23 + -0.23. What is the nearest to y in g, c, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 44669*g**3*l + 4*g**2*l - g**2 - 44*g - 4*l wrt g?\nAnswer: 268014*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011 (base 3) in base 7?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 r when four letters picked without replacement from {r: 1, t: 1, m: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.02282 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, 5, 1.\nAnswer: -48, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (45\/(-120)*-2)\/((-5)\/4)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m - 92. Let f be i(0). Let r = f + 93. Is 5\/((-25)\/21110)*r\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 + (-380)\/30)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -63690 plus 0?\nAnswer: -63690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i**3 - 25*i**2 + 20*i - 8. Determine f(-13).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 2380244.\nAnswer: 2380244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -357253\/1600023 + 4\/6987. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2246, 2, 3 in ascending order.\nAnswer: 2, 3, 2246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -3545*o + 14859. Give k(4).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 738381 * 61.\nAnswer: 45041241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -5*c - 6. Let a be (-3 - (0 - -2)) + 3. Let t be u(a). Let d be (1\/t)\/((-4)\/(-32)). Let z(w) = w - 3. Calculate z(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1001202 - -222?\nAnswer: 1001424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6952529435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Factor t**3\/11 + 6*t**2 + 251*t\/11 + 186\/11.\nAnswer: (t + 1)*(t + 3)*(t + 62)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 10*x. Let q(n) = 2*n. Let c(g) = 5*q(g) + r(g). Let b(t) = -53*t**2 - 3. Calculate b(c(z)).\nAnswer: -53*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -19508\/7, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -b**4\/24 - 3*b**2\/2 - 2*b. Let j(f) be the first derivative of y(f). Let p(i) = -15*i + 8*i + 8*i. Give j(p(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 105 = -2*b + 5*s, -105 = -3*b + s. Factor 10*w - 112*w**2 + 41*w**2 + 21 + b*w**2 + 37*w**2.\nAnswer: (w + 3)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 < 1122\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m. Let k(a) = -67*a**2 + 2*a. What is k(q(v))?\nAnswer: -268*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -1422?\nAnswer: -1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3958 and 89055.\nAnswer: 178110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of -v**4\/4 + 6*v**3 - 43*v**2\/2 + 99*v + 37. Does 3 divide i(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -464, -71, 576, 1471, 2608, 3981, 5584?\nAnswer: 7411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w + 11. Calculate the remainder when 12 is divided by m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 4*h**2 + 2. Let k be n(4). Let t(s) = -55*s - 1. Let g be t(-1). Suppose -m + g = k*m. Solve -b = -3*i - m, 0*b + 3 = -4*b - 3*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -5  (b) 0.29  (c) -3  (d) -588  (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from osoioiioosososspso. What is prob of picking 2 o, 1 i, and 1 s?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -2*v**5 + 3598*v**4 + 120176*v**3 + 1345376*v**2 + 5449728*v + 4220928 = 0.\nAnswer: -12, -8, -1, 1832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**2 - 2*f**2 + 2*f**3 + (-7 + 3 + 2)*(-4*f**3 + 5*f**3 - 2*f**3) - f**3 + 3*f**3 + 2*f**3 - 220*f + 5*f**3 + 220*f.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1314573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 4. Let q(p) = p**3 - 7*p**2 - 9*p + 11. Let y be q(8). Put c, y, 6 in increasing order.\nAnswer: c, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 94252824 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02849 and 0.083?\nAnswer: 0.00236467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from xlxrsrxrrvrxrss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 15 = 19*m - 14*m, -4 = -4*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25541570?\nAnswer: 2, 5, 43, 59399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4968 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1\/3)\/(p*p\/p**9)*(p**(4\/5))**48 assuming p is positive.\nAnswer: p**(676\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 42104466779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 PM and 6:41 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 63 + 3*m - 2*m**2 + 75 + 188. What is the hundreds digit of t(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -186 + -4. Let g be f\/(-8) - (3 - 0)\/(-12). Calculate the greatest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - 3*x. Let p be v(-2). Sort 3\/7, p, -5, -2\/15 in descending order.\nAnswer: 3\/7, -2\/15, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51 + 12 = -0*s + 3*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 1 = -4*o - 6, u + o = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - 24*u**2 + 28*u - 45. Determine k(-26).\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence twwt when four letters picked without replacement from yydwyttyywtd?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*b**3 + 69*b**3 - 25*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/5  (b) 16.5  (c) 3\/4  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -130590266*j**2. Let p(f) = 3*f. Give q(p(w)).\nAnswer: -1175312394*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -156344481 by -9.\nAnswer: 17371609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -6. Suppose -5*r + 27 - p = 0. Solve -s + 30 = -r*f + 4*s, 2*f - 6 = -4*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215694431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15462628?\nAnswer: 2, 43, 89899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 310 by -31.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 57829261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-8)\/(-40))\/(2\/(-15)))\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 329468579.\nAnswer: 11, 41, 199, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 397 = 5*c, -3*r - 5*c + c = -298. Let t(k) = -k**2 + 23*k - 32. Let i be t(19). Let a = r - i. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 700.7018ns to microseconds.\nAnswer: 0.7007018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-3\/5)\/(a\/(a**(-2\/11)*a)))\/((((a*a**(-3\/5))\/a)\/a)\/a**1))\/((a**(-1))**(-37)\/(a*a*a\/(a**1*a)*a*a)**(23\/4)) assuming a is positive.\nAnswer: a**(-789\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5917042*i**4 + 5945798*i**2 - 2 wrt i.\nAnswer: 142009008*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1542*v + 12414 = 66384 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13109555 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -3.8, -5\/2?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -104 - 314?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - 7*f**2 + 7*f - 7. Suppose -3 = 4*n - 27. Determine p(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 792462, 792464, 792466, 792468?\nAnswer: 792470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -5*s - 15, 3*s = -5*p + 4*s + 11. Suppose -3*u + 4 + p = 0. Suppose -3*j = 0, -k - u*j + 19 = -24. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 46 = -0*l. Suppose -2*x = -5*x. Suppose x = -5*p - 0*i + 3*i + l, 5*i + 2 = -p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 - -3) + -6 - 1594\/(-2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89757 divided by 4?\nAnswer: 89757\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 574884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4*2*3*(-7)\/42. Suppose -5*n - x + 5 = 0, -f*n + 0*x + 3*x + 23 = 0. Solve -2*k - 10 = -h, 0*k + n*h = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -392 + 390.5. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215992 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 6:22 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - 21133311?\nAnswer: -21133310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2720\/23664)\/(((-765)\/(-27))\/17).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 6:04 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, b: 3}. What is prob of sequence bl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*d**2 + 136*d**2 - 30*d**2 to the form n + q*d**2 + z*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -2*q + 2*s + 174, -3*q = 3*s - 402. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of -7*a**4\/24 + 7*a**3\/6 + a**2. Is 21 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3966\/5 smaller than 792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.2, -5, -3\/11, 9\/2, 4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1334, -7, 1, -5 in descending order.\nAnswer: 1, -5, -7, -1334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.915 - 2.915. Put k, 0.4, 0.5, -5 in descending order.\nAnswer: 0.5, 0.4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 50*x + 2 + 4*x**2 + 47*x + 2*x**3 + 0 in the form w*x + q*x**3 + j + o*x**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 311 times 2?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*h - 98 = -84 + 814. Solve 71*g + 50 = h*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -1489.\nAnswer: -2\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -119605914 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -82, -275, -630, -1177, -1946, -2967, -4270, -5885?\nAnswer: -7842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 177 + 223. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(1\/16)*i*i**(1\/10)\/i)**44 assuming i is positive.\nAnswer: i**(1023\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/8 and -21\/460?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 73.1 + -73. Which is the second biggest value?  (a) -2  (b) 2  (c) p  (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -0.04  (c) 343  (d) 4  (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22176 and 72303?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -324 - -311. Let y(k) = -2*k**2 - 25*k + 16. Let h be y(w). Solve -q = -2*q + h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 123 + 24 = -4*i, i = -5*v + 12. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-6*(sqrt(5445) + -1*sqrt(5445)))\/(2*(4*sqrt(18)\/sqrt(2) + sqrt(9))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/10 and 89\/16280.\nAnswer: 16280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -537, -4, 0 in decreasing order.\nAnswer: 0, -4, -537","meta":{"dup_signals":{},"source":"comparison__sort_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: Let q(k) = -3*k**2 - 1 + 4*k**2 - k**3 - 8*k**2 - 10*k. Let b be -5 + -1 - (-1 + 1). What is the units digit of q(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3688 + -1929. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 3:07 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2, -5, 17, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.5, -2\/7, 1795, -2 in descending order.\nAnswer: 1795, -2\/7, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1107, -2205, -3315, -4443, -5595, -6777, -7995, -9255?\n\"Answer: -q**3 - 1091*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*m + 11*m - 4*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -30 + 73. Suppose 0 = h + 2 - 8. Calculate the remainder when g is divided by 10\/(4\/h + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 7*x**2 + 7*x. Let l(q) be the second derivative of -5*q + 0*q**2 + 11\/6*q**3 + 11\/12*q**4 + 0. Let u = 5 - -3. Determine u*b(p) - 5*l(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -7*s. Suppose 0*b - 5*b + 10 = 0. List the prime factors of (s + (-2)\/b)*-12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.750845kg to grams.\nAnswer: 2750.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8938883797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 14 = 2. Solve 2 - 39 = 5*h - 4*x, 0 = n*h + 2*x + 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 58, 108, 154, 196, 234, 268, 298?\n\"Answer: -2*b**2 + 56*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*a + 31, 8*a = 4*n + 4*a - 60. Suppose 3*p - n = p - 2*r, -9 = -2*p - r. Factor -3\/5*w**p + 3\/5 - 6\/5*w**3 + 6\/5*w.\nAnswer: -3*(w - 1)*(w + 1)*(2*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -5618?\nAnswer: 1\/2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 333*t - 3*t**2 - 333*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of u**7\/1260 - u**4\/6 + u. Let i(d) be the third derivative of v(d). Let p(a) = -2*a**2. What is p(i(h))?\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o**4\/7 + 72*o**3\/7 + 324*o**2\/7 = 0 for o.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 7641, 7644, 7657, 7686, 7737, 7816?\n\"Answer: k**3 - k**2 - k + 7642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/15)\/(-8)*-70*(-11)\/(-231)*108.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40 and 345?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*v**2 + 29*v**2 - 34 - 17*v**2 - 2*v as j*v + o*v**2 + q and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, -118, 1, 4, -16.\nAnswer: -118, -16, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -4*a**3 - 28*a**2 - 4*a + 24. Calculate t(-7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 4. Suppose 0 = -2*y - 4*g + 28, 9 = 5*y - g - 6. Sort 2\/11, r, y in decreasing order.\nAnswer: y, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/2*2 + -3. Let z be 24\/3 + 8\/k. What is the third derivative of 3*p**z + 19*p**5 - 14*p**5 - p**2 - 3*p**4 wrt p?\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*l + 220. Suppose 0 = -5*b + b + l. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6, -29, -94, -195, -338, -529, -774, -1079?\n\"Answer: -c**3 - 9*c**2 - c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -169*d**3 + d**2 + 10*d?\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-5) - 352\/80. Which is the nearest to -0.1?  (a) j  (b) 0.2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/12)\/((-2)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*h - 2*d = -6*d - 240, -1797*d + 79 = -4*h - 1792*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1004 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/(-216)*-4)\/(((-42)\/(-168))\/((-9)\/(-15)))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 47*o**2 + 4*o + 5. Let b be x(5). Calculate the greatest common factor of b and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00082792 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 29, 40, 67, 116, 193, 304?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6329?\nAnswer: 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c + 7. Let s be z(-4). Suppose -x + 105 = -3*m, s*m + 375 = 4*x - 0*m. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {u: 2, e: 1, a: 1, r: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -83  (c) 3  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/4714116 and 137\/1714224?\nAnswer: 18856464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2717437.8 - -2717441.09999957. Let n = 3.3 - g. What is n rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 2*a**2 + 5*a - 5. Let j(m) = m**3 + 3*m**2 + 5*m - 6. Determine 3*g(c) - 2*j(c).\nAnswer: c**3 + 5*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 17  (b) 34\/11  (c) 2  (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 6 = -2*u, -3*j - 1 = 4*u - 3. Suppose 4*l - 2*p = 2, -18 = -l - 7*p + 4*p. Let i be (-2)\/(-3) - 8\/l. Sort i, 2, u in ascending order.\nAnswer: i, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1020002010012012 - -11?\nAnswer: -1020002010012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 8\/715489, -1\/5, 3.4 in decreasing order.\nAnswer: 3.4, 8\/715489, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 75*j**2 - 4*j + 191. What is u(-75)?\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 6*t - 2. What is the units digit of t - (-2)\/(-4)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 65875280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.1 - 2.1. Let k = 5.3 + -5. Let x = 0.5 - k. Which is the third smallest value?  (a) x  (b) q  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 + -8)*1\/2. Let g(c) = c**3 + 4*c**2 + 3*c + 4. Let k be g(s). Let m be 3 + (-1 + 5)\/2. Solve 6*r + 4 = m*r + k*j, 0 = r - 2*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 + 16*b**2 - 6*b + 4. Let l(s) = s + 28. Let y be l(-13). Suppose m + 2*n + y = -0*m, -3*m - 40 = n. Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 151 + -532?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 + 5*n - 2. Let k(y) = -y**3 - y**2 + y + 2. Let w be k(-2). Let f be d(w). Solve -6*r + r - r**3 + 4*r - 2*r**f = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 + 7*w + 3. Let t be x(6). Suppose 2*d = -d + t. Let c be 3 + (-4 - (0 - d)). Solve 0 = 3*y + 2*s - 19, -s = y - c*s + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (-15 - 2) + 24 + -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) 0  (b) 2\/17  (c) -87  (d) -0.05  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 674 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 - -7)*(-8)\/(-3). Let l = 1 - 1. Let d(y) = -y**3 - y + 32. Let s be d(l). Calculate the greatest common divisor of s and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 3) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010001101 - 10110010?\nAnswer: -100100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137353 is divided by 1446?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r - 5. Let x = 3 + -1. Suppose -6 = x*a + 6. Let g be o(a). Let v(c) = c - 3. Let w(u) = -u + 1. Determine g*v(y) + 2*w(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 8) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**3 + 30*x**2 - 28*x - 320. Calculate the lowest common multiple of d(-13) and 560.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -31909 - 2?\nAnswer: -3190b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12839\/5 - -2563. Which is the fourth smallest value?  (a) -3  (b) 2  (c) 12  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35889.12kg in tonnes?\nAnswer: 35.88912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -36  (b) -2  (c) 1  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17723210 is divided by 194.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*a + 106*a = -44*a - 348. Sort -8, 20, -5, a, -4 in decreasing order.\nAnswer: 20, a, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 11*a + 7. Let p be y(-26). Is -4 + (-2 - -1)*(p + 10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2, -17, -42, -77, -122?\n\"Answer: -5*d**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 348 minutes after 2:59 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-24)*(1508\/(-13))\/29*9\/(-95)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 113688 and 1260.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/24 + (-29)\/4. Let u = 27 + a. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 7*d - 6. Let a be u(-5). Suppose -3 = -4*c - 531. Let v = c + 135. Sort v, a, 2.\nAnswer: 2, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.07 - -0.27. Let w = 187 + -183. What is the second biggest value in w, r, 0.04, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*n = -303*n + 6567 + 4393 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -445 + 433. Let z(t) be the first derivative of -t**2\/2 - 5*t + 96. What is z(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 12:58 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (840\/45)\/8 - (-5)\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 280\/6859 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2458)\/6 - (-5 - -9). Let c = -413 - z. What is the third biggest value in 33, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + (5 - 3) + 27\/(-7). Let z be (2 + 31\/(-14))\/((-768)\/1024). Factor -a*l + 0 - 1\/7*l**5 + 0*l**4 + 0*l**2 + z*l**3.\nAnswer: -l*(l - 1)**2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 6.346639ng in grams?\nAnswer: 0.000000006346639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 - 12*g**2 - 9*g - 10. Give r(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/9 and (33\/88)\/(2\/18).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*s - 18. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32 + 670\/20)*(-3)\/864*4?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 288 + 198 = 5*t, 4*t + 3*z = 364. Let g(u) = 24*u + 2. Let y = 74 + -72. What is the remainder when t is divided by g(y)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.43 - 145.43. Let y = j + 144.96. Let c = 3 - y. Is 1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/13 in 2643, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 68275 (base 10) to base 16\nAnswer: 10ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**9\/j)\/j**(1\/2)*((j**(-13)*j)\/j*j)\/(j\/((((j\/j**13*j)\/j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 22*r + 138. Determine o(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6 - (2 + (0 - 0)). Let o = 568 - 535. Suppose -o = -l*a - 5. What is the least common multiple of a and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 18*l - 3*l**2 - 2*l**2 - 1526 + 4*l**2 + 1537. Find the common denominator of -89\/10 and a(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l + 44344*l**2 - 44334*l**2 + 6 + 3*l.\nAnswer: 10*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.93*2.\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 10 = g - 6, 3*a - 7 = -4*g. What is the second derivative of 28*w**3 + w**g - 28*w**3 + 6*w + 2*w**4 wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1120*k + 1 - 1 - 584*k + 625*k in the form s*k + l and give s.\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 164664 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 - u + 7. Let j be x(3). Put j, 3, 1 in descending order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 48*z**4 + 9*z**3 - 9*z - 236. Let h(m) = 12*m**4 + 2*m**3 - 2*m - 59. Let n(f) = 9*h(f) - 2*t(f). Differentiate n(d) with respect to d.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 1, -416, 36, -1 in ascending order.\nAnswer: -416, -3, -1, 1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -0*x + 2. Let c(r) = 3*r - 121. Let p be c(0). Let o = -121 - p. Solve o = -5*z - 24 - x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153635098 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + 13*d - 40. Let x be c(3). Sort 5, 2, x, 0.\nAnswer: 0, 2, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 8:58 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -138 (base 13) to base 5\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 468*h**2 - h - 31. Is j(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -51 - -30. Let j(q) = -2*q - 38. Let f be j(r). Suppose 3*d - f = 11. Calculate the highest common factor of 40 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.7079  (b) -0.4  (c) 3\/7  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 484 = 7*q + 64. Suppose -278 + 46 = -3*p - h, p - q = 4*h. Calculate the remainder when 224 is divided by p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 1:38 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {l: 1, a: 5, s: 3, v: 4, h: 1, z: 4}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/4)\/(2\/4). Let m be 4 + -4 + (-5)\/(-20). Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r - 9. Let g(j) = 14*j. Calculate g(a(k)).\nAnswer: -28*k - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = -w - 0*w. Suppose -2*m + w = -0*m. Calculate the remainder when m is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/(-35))\/(4\/28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = w + 3*n + 3, 4*n + 21 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of a*n*v**3 - 201*a*n*v**2 + 247415*a*n - 5*n*v**3 - 93*n*v - 10*n + 25*v**3 - 3*v**2 - 48*v wrt a?\nAnswer: n*v**3 - 201*n*v**2 + 247415*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -17224*l. Let z(q) = -17*q. Calculate k(z(x)).\nAnswer: 292808*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190*n - 4875 = -197 + 832 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 8*g - 96. Let q be h(10). List the prime factors of (q\/(-6) + -2)\/((-6)\/(-9657)).\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41.55 rounded to one dp?\nAnswer: -41.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2291 + 3264. Let y = s + -1077.2. What is y rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 233\/4 - 1867\/32. Suppose 195280 = -5*s + 15*s. Let j = -429697\/22 + s. Find the common denominator of q and j.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1128317129 to the nearest one hundred thousand.\nAnswer: 1128300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -j**5\/45 - j**4\/18 - 24*j**2. What is s in k(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 5*y + 25 = 0, 19 = -5*v - y + 14. Solve 4*r + 3*r - 35 = v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, n: 3, v: 4, j: 4, f: 3, o: 3}. What is prob of picking 1 t, 1 v, and 1 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 5 + 3 = 0. Let v be k + 17*3\/(-26). Let b = 3392 + -3393. Which is bigger: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2296 + -2293. Solve 3 = -d*h - m, 0 = -4*h + 8*h + 5*m - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide (283 + -258)*5*(-2 - -21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000241384666 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1077320 and 53866?\nAnswer: 1077320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2 - 35. Let q = d - 8. Solve -q*t + 2 = -7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*k - 22 = -t - 23*k, 5*k = t + 18. Suppose 0*a - 844 = -t*a. Does 38 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 368 and -110.8?\nAnswer: -40774.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 311.6554l in millilitres?\nAnswer: 311655.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3333774 and 78366?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.102  (b) -19.6  (c) -0.4  (d) -1\/6  (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 3:37 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 32 = -4*c. Solve -x - c*x - 2*g - 5 = 0, 0 = 3*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18171501527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 + 51 - 23 + 16008*x**3 - 16012*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3. Let g(f) = f**2 + f - 59. Let x be g(7). Let d(c) = c - 4. Determine x*d(i) - 4*k(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 3, 0, 5075, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -520+347980\nAnswer: 347460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p - 1 + 1)*(5 - 5 + p) + 3*p**2 - 7 - p**2 - 3*p**2.\nAnswer: -2*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5122 + 5?\nAnswer: -5115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-56*m + 126*m - 467*m)*(-1 - 4 + 1) to the form x*m + t and give x.\nAnswer: 1588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 871.8673 meters in nanometers?\nAnswer: 871867300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + k + 4*s + 95 = 0, 25 = k - 2*s. Let u be (4\/k)\/((-12)\/(-10)). Let c be 1\/(-2)*(0 - 2). Is c >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 201736 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and 484367.8.\nAnswer: 3390574.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 12, b: 5, q: 2}. Give prob of sequence qb.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 5*j + 13, -456 = -5*y - 4*j - 442. Solve 2*k + 10 - 14 = -y*x, -x + 14 = 4*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*h + 18*h + 13 = -4*v, 2*h + 303 = -2*v + 299 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q + 4*q - 16 = 0, 0 = 3*b - q + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1330.88842 - -16449.\nAnswer: 17779.88842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -46*36\/(-828)*1\/58?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1753 + 3292*b**3 - 1753.\nAnswer: 3292*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 13*k**2 + 22*k - 12. Let f be (-18)\/((-119)\/70 - (-2)\/10). Let m be b(f). Is 108 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = 5*y + 21, 9 = -3*y + 4*n - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -9*m + 270. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 166\/5 + -33. Let x(p) = 5*p**2 + 16*p + 53. Let u(g) = -9*g**2 - 32*g - 105. Let n(r) = 6*u(r) + 11*x(r). Let m be n(18). Are m and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 27 + i**3 + 14 + (-1 - 3 + 5)*(-2 - 2*i**3 + 2).\nAnswer: -i**3 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28596*a + a**3 - 30428*a + 3 - 2 + 0.\nAnswer: a**3 - 59024*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -4*j**3 + 450*j**2 - 5*j. Let m(o) = 3*o**3 - 451*o**2 + 4*o. Determine -5*m(y) - 4*s(y).\nAnswer: y**3 + 455*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8122 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2562533641?\nAnswer: 17, 29, 1933, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 119*n**2 + 1. Let v be i(1). Is v\/(-28)*28\/(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2725?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 12) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8621637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3859 + 11579\/3. Factor -1\/2*v**2 - 1\/6*v**4 + j + 2\/3*v - 2\/3*v**3.\nAnswer: -(v - 1)*(v + 1)*(v + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -427240021*a**2 - 239533899*a wrt a?\nAnswer: -854480042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7022 + -49961\/7. Let m = 115 + l. What is the closest to m in -4\/5, 1, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-13)\/(-5) - 8\/(-20). Suppose c = r*c. Let q be 3\/((-12)\/(-4))*2. Solve -4*h - 27 = -z - 9, c = q*h + z + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/5  (b) 0.03  (c) -0.6  (d) -11  (e) -2  (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54367.\nAnswer: 54367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j. Let z(y) be the first derivative of y**4\/12 + y**2\/2 - 6. Let t(q) be the second derivative of z(q). Determine t(w(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5680 divided by 2840?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 89, 20467, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -4  (b) 2\/11  (c) 2\/5  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -14+-1535426503\nAnswer: -1535426517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 30348497 to the power of 1\/2, to the nearest integer?\nAnswer: 5509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 65*q**3 + 71*q**2 + 3976*q - 2. Let b(w) = -66*w**3 - 93*w**2 - 3976*w + 3. Let z(y) = -2*b(y) - 3*p(y). What is the second derivative of z(o) wrt o?\nAnswer: -378*o - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*0.41.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -21459\nAnswer: 4291.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39340 - -39344. Sort 20, -6, 0.1, 3, j in increasing order.\nAnswer: -6, 0.1, 3, j, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1057 - 1058. Let l = -0.13 - 0.87. Which is the closest to l?  (a) 0.4  (b) v  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 173138 and 196378.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (19\/(-57))\/((-1)\/(-15)). Let j be 4 + -6 - 8\/n. Let c = -1.2 + 1. What is the closest to j in 1\/3, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3*t - 1. Let x be w(1). Let n be (-2 - 3) + 3 - x. Is (298\/n)\/(3\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -240 - -236. Let n(z) = -27*z + 16. Let j be n(4). Let d = 76 + j. What is the nearest to -1 in d, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 252*d**2 + d. Suppose -5*s = 3*s - 40. Suppose 0 = 5*i - s*v + 17 - 2, 5*i - v + 7 = 0. Is z(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -112024, -223549, -335074, -446599, -558124, -669649?\nAnswer: -781174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26 and 429.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 132 - 116. Let j(n) = -33 - d - 6 - 18*n + 50*n. What is the units digit of j(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141369.\nAnswer: 3, 47123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -10*r**2 + 10*r - 18. Determine x(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of -777*g**4\/2 + 930*g**2 - 13*g + 117. What is the first derivative of v(o) wrt o?\nAnswer: -9324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2200220 (base 4) in base 5?\nAnswer: 312110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -205050, -204906, -204506, -203724, -202434, -200510, -197826?\nAnswer: -194256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**20*j*(j**9*j)\/j assuming j is positive.\nAnswer: j**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 4*f = 272, -3*t + 46 + 49 = f + 151 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 6. Let l(n) = -3 + 0 - 2*n + g + n. What is l(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 5*v**2 + 3*v + 2. Let q be d(4). Is q\/(2*(-2)\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 3 + (-9)\/((-9)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 4*h - 9. Is p(6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-1\/16)*z**(1\/11)*z assuming z is positive.\nAnswer: z**(181\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -13*w - 167. Let q be n(-13). Let m be (0 - 0)\/(1\/(-1)). Let p(o) = -o**2 + o + 10. Let h be p(m). Solve -2*a - h + q = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffflfllffffffffllf. What is prob of sequence fllf?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28 - -52) + -92 + -2 + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25*m**3 + 35*m**2 - 1009*m - 31497391 with respect to m.\nAnswer: -75*m**2 + 70*m - 1009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - p - 30 = 0, 5*p = h + 6507 - 6505 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/18*(-2)\/(-8). Let a = -1.1 - -1.6. What is the third smallest value in a, -2, m, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w. Let i(y) = 3*y. Let z(a) = 2*g(a) - i(a). Let s(d) = -10*d**2. Calculate s(z(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34556113, 69112199, 103668271, 138224323, 172780349, 207336343, 241892299?\nAnswer: 276448211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3583175, 14332657, 32248451, 57330551, 89578951, 128993645, 175574627?\nAnswer: 229321891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 1718925371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.674916 rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*q = -24*q + 1. Let p = -7131\/1000 + 3\/500. Calculate the common denominator of p and q - (-483)\/140 - 0\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2. Let y(d) = d**3 - 13*d**2 - 6*d. Let h(b) = 6*f(b) + y(b). Let r be h(7). Let g = r - -85. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 686455408 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 599 is divided by 143?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 939297648?\nAnswer: 2, 3, 467, 41903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-7)*l*(l\/((l\/(l**(-22)*l))\/l))\/l*l*l*l)\/(l**(-12))**(-2\/27) assuming l is positive.\nAnswer: l**(-89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(1539) + 5 + (sqrt(1539) - (-3 + sqrt(1539)) - sqrt(1539))) + -4)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 21. Suppose m*z - 15 = z. Is 11 a factor of (z + -53 - 0)*2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -45 - -24. Let o = -21.36 - t. Let m = o - -0.26. Is m bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -95*o + 138*o. Solve -5*r + 0*r - 25 = -3*i, 5*i = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 144387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1653 by -57.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/(3864\/667))\/((-9)\/(-3)*8\/48).\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 8*h + 11*h + 11*h - 11*h + 2. Determine q(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(-50))\/((-468)\/(-1300)*(-10)\/(-7))\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 14*h**2 + h - 16. What is the thousands digit of n(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4902\/(-946) + 4 + 1 - 100\/(-66). Determine m, given that -4*m**4 + d*m**2 + 8\/3 + 16\/3*m**3 - 6*m + 2\/3*m**5 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22002020121 - -211222?\nAnswer: -22001101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1284.7 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 16352407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*c**3 + 1940*c**2 + 6028*c - 564 = 0. Calculate c.\nAnswer: -3, 1\/11, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*a**4\/3 - 40*a**3 - 170*a**2 - 680*a\/3 - 95 = 0. Calculate a.\nAnswer: -19, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 185418 or 185434?\nAnswer: 185418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -2*m + 29, -4*j = -4*m - 2*j + 66. Suppose m = 2*z + 7. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 67431 and 399?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00326 rounded to 4 dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*g = 4*g + 956519. What is the remainder when g is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -660 + 1110. Suppose -5*q + b - 45 = 0. What is the remainder when q is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 215 and 564203.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/256 and 37\/1280.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide (-56)\/(-896) - -21126*10\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2 + 29*w + 16. Let d be o(15). Sort d, 2, -3, 27 in descending order.\nAnswer: 27, 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z**2 + z**2 + 7*z**2)*(-1 + 5 - 2).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4446149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -410521 (base 7) in base 14?\nAnswer: -1b681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 197 in 236, -0.5, 1, 0.2?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009 less than -59614670.62398?\nAnswer: -59614670.61498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8*-3*(-5)\/(-30). Let p be ((-6)\/i - 3)*(-4 - 4). Let t = 3 - 1. Solve t*k - p = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -2*k**5\/105 - 10*k**4\/21 - 64*k**3\/63 + 80*k**2\/21 + 96*k\/7 + 1098. What is s in u(s) = 0?\nAnswer: -18, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - -3)\/(10\/(50\/(-35))). Which is the closest to t?  (a) 0.5  (b) -2\/5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -30*n - 275. Let p(f) = -7*f - 40. Let l be p(-3). What are the prime factors of k(l)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-480)\/50 + 9)*8\/(-6)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*u + 16*u = -469 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/4*1*-7*(-24156)\/(-3843).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (39*m - 39*m + 4 - 3*m**2)*(3 - 1 + 3 + (-6 + 2 + 2)*(-2 - 1 + 1) - 9 - 1 + 5) to n + u*m**2 + q*m and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2100 and 4550.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -11452 and 33357936?\nAnswer: 33369388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17352961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 168\/16*(-6)\/(-28)*800\/12. Solve -7*u + 37*u = k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 98784 = 2*t - 2*b, 5*t + b = 98787. What are the prime factors of t?\nAnswer: 2, 3, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-14)*(-1 + 3). Let m = 4.2 + -4.4. Which is the nearest to 0.1?  (a) k  (b) m  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 715095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 AM and 7:26 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {d: 4, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/14 - 2976626\/(-1778) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128)*-3 + -2)**2.\nAnswer: 96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3145.07368 - -3144. Round m to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 226500 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, 90 in descending order.\nAnswer: 90, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -250, -520, -832, -1186, -1582, -2020?\nAnswer: -2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i + 2*i**3 - 2*i**3 - 4*i + 3*i**3 to l + y*i + d*i**2 + f*i**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 40 = 11*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 88 = -4*y. What is the remainder when 31 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (8 + (13 - 0)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1650 = -51*l + 900. Calculate the remainder when l is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from kjjkkkkk?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91166847.\nAnswer: 3, 773, 39313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 12*n**2 - 13*n + 1. What is f(11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3530, -14351, -32476, -57905, -90638, -130675?\nAnswer: -178016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 6472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 8, 3, 14, -206.\nAnswer: -206, 3, 8, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/1 - 6\/2. Let y be 1\/(v\/(-9)*1). Suppose y*k - 8 = -k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2561503459.\nAnswer: 12097, 211747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -49340*f**2*y**4 + 615682*f**2 + y wrt y?\nAnswer: -592080*f**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2619 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 33 + -27. Solve -b = -g*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -a0614?\nAnswer: a0617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -193813.2 to the nearest one hundred.\nAnswer: -193800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 2*w + 20, -4*w = -p + 4*p + 12. Let j = -1234 + 1234.5. Sort p, 0.19, j in increasing order.\nAnswer: p, 0.19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1, -7, -27, -65, -127, -219?\n\"Answer: -w**3 - w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-2))\/((-37)\/(-592)*-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 30\/(-5)*(-4)\/(-6). Let l be (-10)\/j - (-4)\/8. Let a = 6 - l. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (-10 + 8 - (8 - 23))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -19 + -218 + 214?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2412.7 - -2413. Put 0.4, g, 3\/2, 0.042 in descending order.\nAnswer: 3\/2, 0.4, g, 0.042","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - -84) + 0 - (39 + -27) - 7\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c + 5*i - 14, -i + 34 = -5*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 + 2*c - 1. Let d(h) = h**2 + 2*h - 2. Let q(a) = a**3 + a**2 - 2. Let x be q(0). Let r be ((-12)\/10)\/x*-5. Calculate r*o(p) + 2*d(p).\nAnswer: -p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1503350 and 428.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -b35 (base 13) to base 12\nAnswer: -1127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 805, 1514, 2223, 2932, 3641?\n\"Answer: 709*v + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 720 and -2.\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1028*c + 1056*c - 1 + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -116, -249, -444, -713, -1068, -1521, -2084?\nAnswer: -2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 13655201, 13655178, 13655151, 13655120?\n\"Answer: -2*o**2 - 17*o + 13655220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 + 2*q + 2. Let x be o(3). Let t(n) = -n**2 - 2*n + 5. Let c(h) = 1. What is x*t(u) + 6*c(u)?\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -5*a + 24 + 38, -2*k = 5*a - 66. Let x = 203 - 198. Suppose 21 = 3*s - x*f, f = -2*s - 0*f + 1. What is the highest common divisor of s and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 70\/323190*81*-3*3\/(-1)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 15*s**2 + 80*s + 91. What is the remainder when 538 is divided by r(-19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 42*d - 358. Calculate the least common multiple of a(9) and 540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 - 4 + 3)*(-1 - z + 1)*(-55*z - 97*z + 1366*z) to the form i*z**2 + b*z + x and give i.\nAnswer: 9712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + -1 - (0 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) 2651  (b) -1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g**3\/2 + 3*g**2\/2 - 18*g = 0. What is g?\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*l + 8 = -3*r, -r - 3*l = 12. Suppose 0 = c + c - 210. Suppose -28*z + 29*z - c = r. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 704 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 + 16*f**2 + 55*f + 217. Let u be j(-13). Let l(y) = -3*y**2 + 18*y - 4. Calculate l(u).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50424.\nAnswer: 2, 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -1251222?\nAnswer: 1251222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-6 + -1 + 11 + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of -m**6\/360 + 7*m**5\/60 - m**4\/4 + 5*m**3\/3 + 5. Let z(p) be the third derivative of s(p). Is z(13) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 + (3 - 5))\/((-7)\/2). Suppose 4*d = d + f + 11, -f = -2*d + 6. Which is the nearest to 1?  (a) d  (b) -4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 445 + 15?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2502946 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + (40 - 60) + 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(4*1\/4). Suppose 2*j - 19 - 15 = o. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate u**2*x + 2*u*x**3 - 1960*u*x**2 + u - 4310*x**3 wrt u.\nAnswer: 2*u*x + 2*x**3 - 1960*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0322 - -37.0678. Let v = -38.77 + y. Round v to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (5 + (5 - 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000478775 to 7 dps.\nAnswer: 0.0004788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3643*k + 3622*k - 97852 - 98303 = 0 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-3) + 16 - 1. Suppose -4*d + 0*d + s = 0. Suppose -d*b - 10840 - 217160 = 0. Round b to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 + -15. What is the lowest common multiple of m and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/60 and 65\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*m - 8 = 2*t - 11*m, 4 = 2*t - 2*m. Which is the smallest value?  (a) t  (b) -5\/3  (c) -0.2  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4 - 50*k**3 - 439*k**2 - 390*k.\nAnswer: -k*(k + 1)*(k + 10)*(k + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 4:33 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - f - 5, 3*n = 7*f - 2*f + 25. Solve n = -4*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 + -7. Let i = v + -8. Let h = -636 - -10814\/17. Which is the third smallest value?  (a) h  (b) i  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 620 = 222*c + 37*c - 3569 - 10056 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -48*s - 107. Let h(j) = 203*j + 425. Determine -2*h(w) - 9*x(w).\nAnswer: 26*w + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from uwuttuugatuuttautu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48427?\nAnswer: 79, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 + 4*x + 2. Let r be q(4). Suppose -w + r = -2. Suppose -u + 3*f = 4*u - 14, 3*f + 10 = w*u. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*z - 4*o + 16, 0 = -4*z - z + 5*o - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25389085 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 3*h - 1476 = 4*h, 3*m = 4*h + 1467. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 317864707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 11) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 295200 divided by 10?\nAnswer: 29520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -378*o = -567*o + 3780 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2110 - -2032?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13.3 - -13.2. Let d = 72 - 103. Let g = 18 + d. Is w != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 55784 and 367.\nAnswer: 55784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/((-1224)\/32)*(-50)\/(-900)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 0*s**2 - s**2 + 5*s + 6 + 4. Let y be i(7). Let t = y - -26. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - d + 18 = b, 0 = -4*b - d + 28. Let u(a) = a**3 - 4*a**2 - 6*a + 7. Is u(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 + 74*z - 701. Calculate s(65).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 11, n: 6, z: 1}. Give prob of picking 3 n and 1 z.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**1*p)**(-3\/7)*(p*p**(2\/3))\/p**(-1) assuming p is positive.\nAnswer: p**(38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -31481 or -31499?\nAnswer: -31481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 298272 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4210 and 4210?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2\/12*2 + (-37)\/(-111)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 3*g - 4*x - 24 + 4, 0 = 4*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pjg when three letters picked without replacement from {a: 2, k: 2, g: 1, j: 1, t: 1, p: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 5. Suppose g = -5*w, -5*b + 2*b - 2*w = -6. Factor 1\/2*d**b + 1\/2*d + 0.\nAnswer: d*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1806416 is divided by 174.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*o**4 + 56*o**3 + 6*o**2 + 6*o - 155564 wrt o.\nAnswer: 48*o**2 + 336*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1066553246*u**2*v**3 + 76*u**2*v - 4645*u*v - 17*v**2 + 3*v wrt v.\nAnswer: 6399319476*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 + 31.9. Put -2\/13, 9, 0.3, r in ascending order.\nAnswer: -2\/13, r, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-12))\/(384\/5664) - (-14)\/(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = l + 17, -p - 7 = -l - 15. Suppose -3*w = 3*n - 2181, -p*n + n + 1458 = -2*w. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 516*k + 5*j = 512*k + 65, 0 = -4*k + j + 59. Solve k*c - 15 = -0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4037\/9 + -448. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3195, -3433, -3671, -3909, -4147?\nAnswer: -4385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27 - 23. Suppose 4*m + y - h = m, 5*m - 6 = -y. Let a(z) = -1 + 0*z**2 - 6*z**3 + z + 0*z**2. Give a(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 6:27 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (7\/35)\/(1\/(-4)). What is the third biggest value in -4, 0.3, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 7*f - 70 = -5*p, -2*f = 2*p - 34. Calculate the greatest common factor of p and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3*t**2. Let g(x) = 6*x**2 - 285 + 9*x**2 + 140 + 145. Give g(y(n)).\nAnswer: 135*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/87?  (a) 1\/4  (b) 0.06479  (c) -1\/10  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 5*j - 32 - 13 = 0, 2*j + 32 = -3*n. Let t = -10 - n. Solve 10 = 2*w, t*r - 5*r + w = 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9554477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 247766295 to the nearest integer?\nAnswer: 15741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 71528590.\nAnswer: -2\/35764295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 0*i - i + 1 = 0, 5*f + 2*i = -25 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.4424 * 1338.\nAnswer: -3267.9312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -0.1  (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 3 + 44 + 8 + 34 - 6*l to t*l + d and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 575660 and 1611848?\nAnswer: 8059240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8782473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 299\/6, -13, 6, 5, -3\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(12\/11)\/(v*v*v**12\/v)*v\/v**(-2\/5)*(v\/v**(-11))\/v assuming v is positive.\nAnswer: v**(27\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of -29*c**5\/20 - 37*c**4\/12 - 4*c**3\/3 - 3*c. Let m(d) = -7*d**3 - 9*d**2 - 2*d. Let i(y) = 9*m(y) - 2*x(y). Factor i(h).\nAnswer: -h*(h + 1)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -572.92?  (a) 0.3  (b) -14  (c) -3  (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9, 4, 29, 72, 139?\n\"Answer: r**3 + 6*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 8 = 2*b + 3*p, 4*b - 5*p = 9. Which is bigger: b or 1\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**2 - 25*u**3 - 19*u**3 + 4*u**2 + 42*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 3 - 4)*(-5 + 5 + z) - 20*z + 28*z + 32*z to s + m*z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 95.402 + -1153.032. Round i to the nearest ten.\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2813.1452 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 331666*d**2 - 278*d**4 - 331666*d**2 + 0*d**4 + 0*d**4 - d**4 + (2*d**3 - 2 + 2)*(d - 1 + 1).\nAnswer: -277*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-4))\/((-9)\/(-36))*0\/(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzbkbkyybbz. What is prob of picking 3 b?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 - u**2 + 3*u + 52. Let i be b(0). Suppose 476 = 89*r + 31. Solve r*f + i = 27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-6 - -2 - -5) + 1 + -18.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -193*y**5 + 26*y**3 - 8951*y**2.\nAnswer: -11580*y**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.222 times 11?\nAnswer: -2.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-30) - 120\/(-900)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -64872 greater than -65595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.9, 2, -535, 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 3*z + 3*h - 26 + 3 = 0, 6*h = -54*z + h - 63 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22421 is divided by 974?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7461 - 6539. List the prime factors of k.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 980*m + 1024*m - 2074*m + 5*m**3 + 279 - 35*m**2 - 39 = 0. Calculate m.\nAnswer: -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*x - 87*x + 29*x + 226 + 638 + 30*x to the form f + c*x and give f.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.17 + -1.83. Suppose -2*m - 2*n = -3*m + 8, -3*m + 18 = -4*n. Which is the third smallest value?  (a) -5  (b) p  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -133925+12317\nAnswer: -121608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26634093.\nAnswer: 3, 29, 306139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cggxy. Give prob of sequence yg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2008, 1855, 1394, 469, -1076?\nAnswer: -3397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4c8 - -2b?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z**3 + z. Let k be o(-1). Let c be (-108)\/15*(7 + (2170\/21)\/(-10)). Calculate the highest common factor of c and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -j + 5. Solve n - 2 = -5*l + 22, -4*l + j = n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -6*(-2)\/4 - -4. Let k = o - 1. Calculate the remainder when 8 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -21*d**3\/2 - 19311657*d**2\/2 + 12414651*d - 2758812 = 0. Calculate d.\nAnswer: -919604, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/90*3)\/(((-21)\/15)\/(-1)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -h**3\/5 - 24531*h**2 - 3761736768*h\/5 - 41364264524\/5 = 0.\nAnswer: -61322, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b**2 + 8961*b - 153204 = 0. Calculate b.\nAnswer: -3004, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 24 = 27*l - 25*l, 2*q + 2*q + 26 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v\/(v\/v**(2\/5)))\/v*v*(v*v\/(v*v**4)*v)\/v)**(10\/7)*(v*v**(2\/29)*v**(-7\/5))**(1\/32) assuming v is positive.\nAnswer: v**(-4661\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*w + 11*w**2 - 25*w + 15*w)*(-2*w**2 + 0*w**2 + 0*w**2).\nAnswer: -22*w**4 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000709791215 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -44, 20, 216, 616, 1292, 2316?\n\"Answer: 12*g**3 - 6*g**2 - 2*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 - 4)*(s**2 - 2 + 2) + 48 - 60*s**2 - 48 to the form l*s + u*s**2 + c and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 4*t**2 - t - 5 - 4 + 8. What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2574 + 2570. Let q(n) = n**2 + n. Let g be q(-1). What is the nearest to g in -2, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 705 divide 6327375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5451076, -1, 4.\nAnswer: -1, 4, 5451076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000866643 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4724 = -s + 4771. Calculate the remainder when 304 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 111537 or 111536?\nAnswer: 111537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 290062, 580116, 870170, 1160224, 1450278?\nAnswer: 1740332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (1\/6*4)\/(30*(-65)\/(-13650)) + -6\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21039.5*-0.3.\nAnswer: -6311.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/376 and -83\/59164.\nAnswer: 5561416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r + 1318 - 2636 - 5*r**4 + 1319 - 4*r**3 as f*r**2 + h*r + l*r**3 + w + g*r**4 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-2))\/((-1)\/18). Suppose p = a + 18. Let l = 43 - p. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129520 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1443 and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 688.5656 decades to months.\nAnswer: 82627.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**3 - 6070145*d**2 + 157821235*d - 1025832535.\nAnswer: 5*(d - 1214003)*(d - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3493, -1, 5, -3 in ascending order.\nAnswer: -3493, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 5*p**2 + 0*p**2 - 9 - 4*p**2 - 10*p - 2*p**2. Let a = 6 - 13. Let h be s(a). Solve 4*q = 2*y + h, y + 3*q - 3 = 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 - 12*c. Determine y(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2b78d2 + -4d?\nAnswer: -2b7930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = 4*b + 16, -2*p + 14 = 3*b + 3*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4824 and 2016?\nAnswer: 135072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0, 1\/10, 0.06, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 74 + -28. What is the remainder when p is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-3)*-1*-9*23\/51336*-4\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139*j - 36 + 84 = 163*j. Let m = 0 + 2. Solve 0 = -j*s + 8 + m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2. Let t(b) = 18388228*b**2. What is t(d(r))?\nAnswer: 18388228*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 11*t + 4. Let l(p) = -2*p**2 + 20*p - 7. Let w(q) = -4*l(q) - 7*n(q). Let w(d) = 0. Calculate d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 6*f - 16. Suppose 5*k = 58 - 3. Solve -10 = -f*u + 2*o, 2*u - 2*o + 7*o = k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -1. Let t = 19.1 - 19. What is the second smallest value in f, -2, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5811591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (((-35)\/(-2))\/(-5))\/(92\/(-6072)). Calculate the greatest common divisor of y and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4621352 and 2714.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*n - 87*n - 29*n - 5392 = 2304 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 = 3*t + 39 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - -14. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -14*(-3)\/(525\/25). Factor -1\/2 - 1\/2*l**y - l.\nAnswer: -(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 4 = 9*l. What is the second biggest value in l, -5, -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-395856)\/372)\/(-2) + (-6)\/93 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (51 - -229 - 118) + -77.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -11669 and -0.8?\nAnswer: 11668.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**3 + 53*b**2 + 326*b + 39. Give g(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.27 - 0.03. Which is the closest to 1?  (a) -1\/10  (b) -1\/5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 24\/517 and 43\/188.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*l**3 + 3*l**3 + 0*l**3 + (-11*l - 7*l - 4*l)*(-4*l**2 + 12*l**2 - 7*l**2 + 42*l**2).\nAnswer: -947*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 92, -2 in ascending order.\nAnswer: -2, 2, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v - 11. Let t be b(13). Suppose -t*w + 13 = 2*j - 9, 4*j = w + 19. Suppose j*f + 0*f - 24 = 0. Sort 5, 3, -1, f in increasing order.\nAnswer: -1, 3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1908*d + 3652*d - 871*d + 22*d**2 - 870*d.\nAnswer: 22*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/6 or 2370475?\nAnswer: 2370475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**2 + 18053*f + 2250775. Calculate n(-123).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 9*a**2 + 4*a - 12. Let p be v(9). Suppose 3*c = 5*o + p, 0*o + 3*c - 18 = 4*o. Let h(y) = -y - 12. Let u be h(o). Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*o**5 + 64*o**4 + 52*o**3 + 8*o**2 = 0. What is o?\nAnswer: -2, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 2 = -0*z, -5*v - 2*z + 12 = 0. Let j(l) = -2*l**2 + 18*l - 29. Let g be j(6). Let c be (-1)\/g - (1 - (-145)\/(-35)). Solve 0 = -v*u - c - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3507)\/501*(-2)\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -6, 711, -0.3, -82?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2180556888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + 2. Suppose 5*z = q*o - 10, 0 = 3*z + 2*z + 3*o - 22. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 519232 and 116144?\nAnswer: 8826944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 4*b - 15. Let z be 1\/b + 22\/(-6). Is (22\/8)\/(z\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 2, -0.5, -12.7, -0.068, 7 in descending order.\nAnswer: 7, 2, 2\/3, -0.068, -0.5, -12.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - y**2 - 4*y. Let x be f(3). Suppose 0 = -5*t + x*t - 3. Calculate the least common multiple of t and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 249650185 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - (2 + 1) - -1. Let m be ((-10)\/6)\/(30\/(-54)). Suppose -m*h + 4*b + 1331 = 0, 5*h - h + 2*b - 1738 = i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1080\/32)\/9 + (-1 - 2). Which is the closest to 0?  (a) -4  (b) -2  (c) 13  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 279001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 5, s: 8}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 44 - 17. Suppose 4*y - 20 = u - 7, 5*u + y - 19 = 0. Calculate the highest common divisor of u and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 370 - 22939\/62. Let y = -119\/310 - t. Let x = -2 + 1.6. What is the closest to y in 0, -3\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9826 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*m**3 - 5*m**3 + 3*m**3 - 1 - 4*m**3 - m - 2*m**2 to the form c*m**2 + j + d*m + r*m**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, u: 1}. What is prob of sequence bx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(48) + 0 + sqrt(6)\/sqrt(2).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 14\/(-3)*8112\/(-9464)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 1\/18, -4, 0.2.\nAnswer: -9, -4, 1\/18, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 1\/3, 2\/7, -7.5, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**3 - 4*p**2 - 4*p + 2. Suppose 4 = -s - 5*l + 1, 4*l + 9 = -3*s. What are the prime factors of q(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**5 + 38*i**2 + 5 + 3*i**5 - 9*i**5 + 3*i**4 - 4 + i**4 wrt i?\nAnswer: -240*i**2 + 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of 1\/15*u**6 - 20\/3*u**3 - 10 + 1\/5*u**5 + u - 7\/6*u**4 - 12*u**2. Suppose z(r) = 0. What is r?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 - 7*d. Let n(t) = -t**2 - t - 1. Let v be n(-3). Let f = -15 - v. Let m = 14 + f. Give g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = -6*i - 39 - 1, -c - 3 = i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 124 > 1126\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 103138 - 135475082.\nAnswer: -135371944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.067 - -4.933. What is the closest to 2\/5 in x, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 0 + (4 - 2) + 80?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4\/7, 17\/19, -0.3, -130 in decreasing order.\nAnswer: 3, 17\/19, -0.3, -4\/7, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 452539306.\nAnswer: 2, 23, 67, 146833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/8)\/x**(-2\/13))**(-43) assuming x is positive.\nAnswer: x**(-1247\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 AM and 10:25 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1791*x**4\/7 + 42990*x**3\/7 + 144*x**2\/7 = 0. Calculate x.\nAnswer: -24, -2\/597, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -421, -407, -393, -379, -365, -351?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 185217215?\nAnswer: 5, 37043443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 5 = -o, -12139 = -x - o. What are the prime factors of x\/42 - 1\/7?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1427641.2 milliseconds?\nAnswer: 0.016523625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -2*g - 345 + 347, 0 = -2*g + 5*i + 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 17, 3\/22, 2\/3, 7645 in ascending order.\nAnswer: -2, 3\/22, 2\/3, 17, 7645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 114076 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -235 (base 8) in base 12?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of c**6\/120 - c**5\/5 + 5*c**4\/24 - 17*c**3\/2 - 15*c**2 - 3. Let u be v(12). Solve 4*s + 4*i = -i - 21, 0 = 4*s - i - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-2\/5)*c))**(2\/117)*(c*c**6*c)\/c**(2\/13) assuming c is positive.\nAnswer: c**(4594\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61996 is divided by 26955.\nAnswer: 8086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**11\/h)**(4\/13)\/(h**(-2\/9)\/(h*(h*h**(-13\/3)*h)\/h)) assuming h is positive.\nAnswer: h**(113\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.79 - 70.21. Let u = -109 - t. Let v = u + 35.52. Round v to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 167 or 165?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5411, -5402, -5359, -5264, -5099?\n\"Answer: 3*x**3 - x**2 - 9*x - 5404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f**2 - 16*f + 12. Let o be w(7). Let j(x) = -3*x - 2. Calculate j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/3)*l**(-9)*l*l)\/(l**(-2))**(-37) assuming l is positive.\nAnswer: l**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1941, 3060, 4929, 7548, 10917?\nAnswer: 15036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 261458*a + 51 = 261407*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/92 and 37\/75716.\nAnswer: 75716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -79 + 76. Which is the closest to 1\/4?  (a) q  (b) 1\/8  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 1\/4  (b) -34\/3  (c) 1  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.011 times 1.696\nAnswer: 0.018656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 605, 603, 613, 641, 693?\n\"Answer: k**3 - 9*k + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-246)\/(-22) + 6\/(-33). Let c(s) = s**3 - 12*s**2 + 11*s + 5. What is the units digit of c(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -y**2 + 1228*y + 9888 = 0.\nAnswer: -8, 1236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 3 - k + 0 - 1. Let o(a) = 3 + a - 4*a + 1. Let p(t) = -5*j(t) + 2*o(t). What is the first derivative of p(z) wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m - 801223*m**2 + 2*m + 0*m + 801206*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-195*i**2 - 164*i + 164*i)*(0*i + 9*i + 0*i) + 2*i**2 - 2*i**2 + 3*i**3 as x + p*i**3 + b*i**2 + q*i and give p.\nAnswer: -1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 336 + -379.8. Let m = -49 - v. Let w = m - -0.2. Put -0.5, -0.2, w in ascending order.\nAnswer: w, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-13 - 3 - 19)*(-4*s - 3*s + 4*s) + (-s + 3 - 3)*(-3 + 2 + 0) in the form x*s + r and give x.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 19*l - 6. Let o(t) = 10. Let r(y) = -61. Let u(v) = -6*o(v) - r(v). What is a(s) + 4*u(s)?\nAnswer: 19*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 54*n**3 + 0*n - 3*n**4 - 99*n**3 - n + 46*n**3 - n to the form d*n + s*n**4 + t + q*n**3 + c*n**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1689*l - 541*l - 39163 - 23967 - 50600 = 0 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b559 (base 12) in base 6?\nAnswer: 1151353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9373044 and 16402827?\nAnswer: 65611308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -475*u**2 + 1457*u + 1997279.\nAnswer: -950*u + 1457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*o + 147*o = -3825 - 933 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -82087, -82089, -82101, -82129, -82179, -82257, -82369, -82521?\n\"Answer: -h**3 + h**2 + 2*h - 82089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -431 or -430?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 5:11 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p**4 + 316*p**3 + 884*p**2 - 1744*p - 2688 = 0. Calculate p.\nAnswer: -42, -4, -8\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5*(-22)\/55 + -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201055842 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(4455) - (sqrt(55) - 2*sqrt(165)\/sqrt(3)))\/(sqrt(5) - 2*sqrt(405) - (sqrt(5) + -2*sqrt(45))).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*r - 5*h, h + 3*h - 4 = 3*r. Suppose 0*a + 4*a - 12 = r. Factor -a*n**4 - 18*n**2 + 3*n**3 - 7*n + 9*n**3 - 3 + 19*n.\nAnswer: -3*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1176570959 and -10949.\nAnswer: -1176581908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -5*c + 305, -i - i - 4*c + 124 = 0. What is the tens digit of 5\/i*4*165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((9 - 573\/54) + (-4)\/(-9))*174\/(-28)?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 635 divide 432447700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 40*a**2 - 30*a + 19. What is the hundreds digit of b(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = -13*v - 37. Let r = -4.99 + -0.01. Which is the fourth smallest value?  (a) v  (b) -0.07  (c) r  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z**2. Let g(f) = -535*f - 1. Determine d(g(s)).\nAnswer: 572450*s**2 + 2140*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x\/x**(4\/7))\/x**0)\/(((x*(x*(x\/(x\/x**(-5\/4)))\/x)\/x)\/x)\/(x**(-1\/25)\/x*x)))**(2\/15) assuming x is positive.\nAnswer: x**(849\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10301273*d**4 + 5876886.\nAnswer: 41205092*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 360, 351, 336, 315, 288?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 8*m + 5. Let y(z) = -z - 1. Let o(l) = h(l) + 6*y(l). Let f be o(5). Find the third derivative of 2*n**2 - 17*n**4 - f + 9 wrt n.\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-p - 2*p + 2*p + (-1 + 4 - 2)*(-5*p - 2*p - 3*p))*(9 - 505 - 134) to the form t + l*p and give l.\nAnswer: 6930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 27*v - 29*v = -35, 0 = -4*s - 5*v + 45. Suppose 0 = -s*z + 3912 + 15923. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55, -90, -125, -160, -195?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 + -18. Let d(a) = 527*a**3 - 4*a**2 + 3*a - 2. Let v be d(b). Round v to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -3*v - 59, -y + 14*v + 49 = 13*v. Calculate the greatest common factor of y and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.95155246 rounded to 0 dps?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -595, -1183, -1771, -2359, -2947?\n\"Answer: -588*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 9:54 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from bbbbbuuuuubbb.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 84 - -707889?\nAnswer: 707973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -155 divided by -3.\nAnswer: 155\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 15 times 4.99\nAnswer: 74.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2614572*o**5 + 680079*o + 2?\nAnswer: 52291440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28 and 4675447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5634 - 129 + 347 - 2224 = -191*f for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*u + 1 + 1 + 20*u - 3 to o + y*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 304\/(-20)*(-3 + (-3)\/(-6)). Suppose -287 = -k*z - 21. Let v(g) = g**2 - 10*g + 12. Determine v(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.45 times 7.4341?\nAnswer: -92.554545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -213, -286, -359?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (55 - 61 - 4) + -12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**4 + b**4 + 17*b**4)*(0*b + 0*b + 2*b)*(-12 - 3 - 4).\nAnswer: -646*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 41 - 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 26207150 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -7*c**2 - 2*c - 2. Let j(n) = -120*n**2 - 35*n - 35. Determine 35*a(u) - 2*j(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/608633 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 5*h - 72. What is the lowest common multiple of h and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/111224 and -45\/16.\nAnswer: 222448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 not equal to -0.1445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -21 + 34 - (2 + 18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 17, 32, 47?\n\"Answer: 15*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g**3 - g**2 - 1. Determine b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 4*q + 12. Give i(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 9856871 = 3*w, 2*o - 4540117 = 3*w + 388314. Suppose y = -0*y + o. Suppose -31464220 = -5*f - y. Round f to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 220144 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggyoggogy. Give prob of sequence oyyg.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v + 12. Let x(u) = 13*u**2. Let f be x(1). Let t = f - -3. What is the remainder when t is divided by d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l - 18. Let c be y(-14). Let v = c - 0. Let o = 4 + v. Solve -2*r + 9 = -5*b - 6, o = -3*r - 5*b + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-72)\/84)\/((-1)\/(-7)). Is -5 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -15*i + 18*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14993017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-26*r**4 + 30*r**4 + 29*r**4)*(-179 - 163 - 471 - 140 - 14) to w + p*r**4 + c*r**3 + l*r + t*r**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 + 108. What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of -13*r**5\/60 - r**4\/6 + 2*r**2. Let s(a) = -a**2 - a. Give 4*s(k) - z(k).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 17144180 rounded to the nearest one hundred thousand?\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6 - 10) + 8 - 4. Suppose x = 3*b - 8, 0 = -3*x + 3*b - q - 6. Let t be 5\/8*-2*-4. Is x greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 634061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (196\/(-70) - -4)\/(4\/(-10)). What is the tens digit of ((-4122)\/6)\/h + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/(-6))\/(-5 - (-70)\/15). Let m = 0.4 + -5.4. Which is the second biggest value?  (a) m  (b) 4  (c) 5  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -19\/7  (b) -5\/2  (c) 0.58  (d) 8  (e) 5  (f) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 14\/5, 2\/7, -1\/8, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + z - 1. Let r(j) = -2*j**3 - 3*j**2 + 5*j + 2. Let d(h) = -n(h) - r(h). Let f be d(-4). Let w(t) = 12*t - 19. Is w(f) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c - 1. Let g(n) = -18*n + 85. Let q(i) = -5*f(i) + g(i). Let j be q(5). Solve 4*m - j = 3*v, m + 3 = 5*v + 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 927 + -906. Solve -18 = 3*p - s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*o + 14*o + o**3 - 24*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 11:17 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 212509.63 - 211020. Let p = o - 1477. What is p rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 2*q**3\/23 + 273300*q**2\/23 - 168371694*q\/23 + 1124956064 = 0.\nAnswer: -137264, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**26*q)**49*(q**(16\/7))**(-5\/3) assuming q is positive.\nAnswer: q**(27703\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14 - 555*u**5 + 14 + 24*u**3 + 1792*u**2 - 24*u**3 wrt u?\nAnswer: -33300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppx when three letters picked without replacement from {p: 2, j: 1, x: 7}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 2 + 4 - 28*w.\nAnswer: -28*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 400 = 3*f + 17*f. Is 4 a factor of f\/(-150) + (-1)\/(30\/(-1084))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101.0666 rounded to one decimal place?\nAnswer: 101.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**3\/2 + 500*k**2 - 1997*k\/2 + 499 = 0 for k.\nAnswer: 1, 998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -7cb?\nAnswer: 7d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60972 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3668376*d**3*x**2 + 203*d**3*x - 3*d**2*x + 10451*x wrt x?\nAnswer: 7336752*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a - 5. Let b be m(-9). Let s be 2\/b*(-5 - -11). Suppose 0 = 173*l - 161*l - 24. Solve 11 = l*k + s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 6 = -0*g. Let v(o) = 30*o**g + 5*o**2 - 17*o**2. Let d(m) be the first derivative of -m**3 + 957. Calculate d(v(b)).\nAnswer: -972*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - -89)*(-11)\/2. Let r be -1 - (-6)\/5 - 121\/h. Suppose 0*x + 2*x = 6. What is the second smallest value in r, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 783.2 + -783. Let s = 3.8 - 4. Put 5, r, -2\/11, s in ascending order.\nAnswer: s, -2\/11, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -201792 divided by 16\nAnswer: -12612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1530 divided by -5?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16802337?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 8  (c) 9  (d) -2\/109  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 69*a - 85. Let u be p(7). Suppose 5*g - 5 = 0, 2*b = 2*g + 70 + u. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 119 or 598\/5?\nAnswer: 598\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3a99a1 (base 13) to base 15\nAnswer: -1d1029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 0*l + 3*x + 37 = 0, 2*x = 5*l - 211. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 4*w + 5 - 4 - 3*w. Suppose -5 = 4*z - 4*r - 45, -4*r - 4 = 0. Is j(z) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 12, 17, 22, 27, 32?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*o**5 + 8*o**2 + o**5 + 32*o**4 - 56*o**4 wrt o.\nAnswer: -60*o**2 - 576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 20715450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-2*(-2)\/(-8)*10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5268 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-4*(-5 + (1 + (sqrt(288) - sqrt(288)*-3 - sqrt(288))*-3)*3))**2.\nAnswer: 746496*sqrt(2) + 120934656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2, 1.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gwot when four letters picked without replacement from owtig?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of y**7\/1680 + y**6\/360 + y**5\/240 + y**3\/6 - 3*y**2. Let j(c) be the first derivative of b(c). Factor j(l).\nAnswer: l*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 11 = h - 2, 0 = 3*o + h - 12. Let w(s) = 52*s**2 + 112*s**2 - 2*s - 51*s**2 + o*s. Let j be w(-2). What is j rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 3*p**2 + p. Let i be u(-1). Suppose -i*s + 16 = -34. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 37375 and 897.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1 + -2*sqrt(2299) - sqrt(2299) - 5*sqrt(2299)*-3)**2.\nAnswer: -264*sqrt(19) + 331056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/(-10))\/(-4)*(-7455)\/(-639).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(200).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gnnnnnenz. Give prob of sequence znne.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -55*n - 544. Is p(-30) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3980*i + 258816 = -64*i for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -586, -567, -524, -445, -318, -131, 128, 471?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -12.8  (b) -4  (c) 1\/5  (d) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 4*t = 48, b + 3*t = 5*b - 249. Suppose 4*q + 0*q = b. What is the highest common factor of q and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 165*x = 145*x + 80. Put 2, 1, x, 31 in descending order.\nAnswer: 31, x, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*s + 7*s - 7*s - 29*s - 37*s - 40*s.\nAnswer: -118*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -179  (c) -0.2  (d) -1\/35  (e) -4  (f) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-26) - 4104\/(-702))\/(31 + 1)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + a**2 + 4 + 39 - 39 - 19*a**2 + (a + 11*a + 2*a)*(-3 + 3 + 3*a).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6, 0, -69, -5.\nAnswer: -69, -5, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15826 and 17384?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*2\/22 - 0. Let o = 0.17 - -2.83. What is the smallest value in o, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 12:54 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 183730451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 - k - 2. Let s(b) = -3*b**2 - 189*b - 9. Give 4*g(h) - s(h).\nAnswer: -h**2 + 185*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 495 = 5*x, -4*x = -3*x + 3*n - 112. Suppose x = -5*s + 257. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6081 not equal to 6082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 647723.\nAnswer: 647723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 9\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 - 5*l + 3. Let z be m(3). Suppose -2*d + c + 8 = 0, 4*d + 7*c + 4 = 4*c. Let r(o) = 0*o**d - o - o - o**2. Give r(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**13*a*a\/((((a*a*a\/(a\/a**(2\/11)))\/a)\/a)\/a*a))**40\/((a\/(a**(-1\/4)*a))**(1\/9)\/(a\/(a**(-2\/7)*a))**21) assuming a is positive.\nAnswer: a**(237085\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700)*1 + sqrt(140)\/sqrt(5))*1.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tiietuae. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (9\/(-108))\/(2\/(-5862)). Let z = g - 245. Let a = 1 - 2. What is the nearest to -2\/3 in -0.5, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1406010 and 17?\nAnswer: 23902170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 3)*(-7*d**3 - 168*d**3 - 227*d**3 - 133*d**3).\nAnswer: 1070*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.00679 times -55.664\nAnswer: -0.37795856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j - 4*j - 21355*j**2 + 362572*j**2.\nAnswer: 341217*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*a - 31*a - 1 + 110*a - 29*a.\nAnswer: 18*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -188  (b) -1  (c) -2\/7  (d) 53  (e) -18\/17  (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1 - 0.1. Let t(y) = -y - 1. Let p be t(-2). Suppose -3*q = 3*o + 3, -3*o + 0*q - 5*q - 13 = 0. Put m, o, p in descending order.\nAnswer: o, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 27033, 54070, 81105, 108138, 135169?\n\"Answer: -t**2 + 27040*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 90*b. Let q(j) = -13*j + 1 + 10 - 18 + 7. Determine 5*o(a) + 36*q(a).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of r**6\/60 + r**5\/10 - 5*r**4\/12 - 7*r**3\/3 - 15*r**2\/4 + 4*r + 2. Determine q so that z(q) = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11070)\/(-9963))\/(1\/(-36)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5 + (-3 - (-4 - 1)). Suppose -4*v + 2*z + 22 = 0, -16 = -3*v - 5*z + q. Let y(j) = j + 4. What is y(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/66 and 113\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 9 - 2)*(g + 2*g - 6*g).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0534254608 from -1.\nAnswer: -1.0534254608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143958 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*-2*(-3)\/48?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3480, 6959, 10426, 13875, 17300, 20695, 24054, 27371?\n\"Answer: -x**3 + 3486*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118821 = -382*f - 1575*f - 86*f + 32361 for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of 11*n**2 + 0*n**3 + 0 + 19\/12*n**4 + 23*n. Find the first derivative of v(c) wrt c.\nAnswer: 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4615 and -4617 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-75)\/25)\/(4*1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 23410 - 161?\nAnswer: 23216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r + 4. Let g be m(4). Let s(p) = 3*p**2 - 1. Let f be s(-1). Let t = f - g. Sort t, -4, 1.\nAnswer: -4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 159 - 174 - (12 + -4 + 2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y**2. Suppose 26*f + 0*f - 9048 = 0. Let r(m) = 105*m - f*m + 54*m + 99*m. Give l(r(u)).\nAnswer: -16200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 5*s + 9*s - 3136 = 0. What is the greatest common divisor of 512 and s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 8*r + 4*z = 16, 0 = -r - 5*z + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of p**5\/20 - p**4\/2 + p**3\/2 + 3*p**2\/2 - 22*p. What is n(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 2*w - 276 = 0, 2*z + 163 = 2*w + 47. Suppose 2*f = 4*r - 56, -5*r + 3*f = -2*f - 60. Let s = z + r. Round s to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -14, -30, -46, -62, -78?\n\"Answer: -16*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fffl when four letters picked without replacement from {f: 3, l: 12}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8932 is divided by 160.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.298886 rounded to 3 dps?\nAnswer: 5.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/13, 0.092516, 1, -22.8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*i**3*j - 424542*i**2*j + 39924155*i*j wrt i.\nAnswer: 42*i*j - 849084*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(637) + (sqrt(637) - (-2*sqrt(637) + -5)) + sqrt(637) - (sqrt(637) - (sqrt(637) + (sqrt(637) - sqrt(637)*-1) + -2)))*-1)**2.\nAnswer: 294*sqrt(13) + 31222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.7 and -9.635.\nAnswer: 6.7445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 116.862 - 116. Let r = -0.9 + b. What is r rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 256742374 to the nearest integer?\nAnswer: 16023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*m - 22*m + 14232. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 - 16. Let i be (r\/(2 - 3))\/(-1). Solve i*d + 2 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 51 + -63. Are r and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2041 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0780361 to three dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 27589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 3, 4\/11, -1\/4, -4, -27\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1104110 - 124?\nAnswer: 1103431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2. Let j(b) be the third derivative of 23*b**5\/6 - b**4\/12 - 2*b**2 - 74. Determine j(a(z)).\nAnswer: 230*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -17*o + 9. Let k(y) = -47*y**2 + 93. What is m(k(r))?\nAnswer: 799*r**2 - 1572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*k - 2. Suppose 8*d - 5*d + 401 = 4*i, -i = 1. Let v = d + 119. Put -3, v, -2, k in ascending order.\nAnswer: v, -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/6 + 13\/((-1560)\/(-6311380)) - -4?\nAnswer: 3, 89, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*t - 129 = 28 - 67. Suppose 5*x = -2 - 3. Put t, x, 1, -7 in ascending order.\nAnswer: -7, t, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 106 (base 10) to base 13\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/3)\/s**10)\/(s\/s**(-3)*((s\/(s\/(s**9\/s)))\/s)\/s) assuming s is positive.\nAnswer: s**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26221492*z + 52442986*z - 26221491*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 take away -0.44?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-15) + 7\/5. Let k = 1 - o. Let y be 5\/(-30) + (-143)\/(-594). Which is greater: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6 - -7)\/(3\/15). Sort x, -5, -3 in descending order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 8 - 1 - 3 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-416)\/(-468) - 8041\/(-198) - 11\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1337.426978 to two decimal places.\nAnswer: -1337.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 5*i - 38. Let o be g(8). Solve o*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.1, -1.4, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 2 - 1)*-1. Let k = -160 + -130. Let n = k - -289.8. What is the second biggest value in n, 31, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50 + 7 + (34 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33.75676161 - -4.\nAnswer: -29.75676161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxxrrxrxxxxxxrrr. Give prob of sequence xrr.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -6414\/7 < -915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-32)\/24 - -1 - 110\/(-6). Suppose -x - r = -q, 52 = q + q + 2*x. What is the remainder when q is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34255575 by 6.\nAnswer: 11418525\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 86772.86 days?\nAnswer: 7497175104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 26\/13641 and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 1 - 1)*(-2*p - p**3 + p + 0*p**3).\nAnswer: p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 867357593 to the power of 1\/2, to the nearest integer?\nAnswer: 29451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/((3\/(-1))\/(-6)). Let j be 74\/8*d*-16. Suppose 4*b = 5*o - 411, j = -o + 5*o + 5*b. What is o rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -1 + 6 - 3 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -4*q. Let f(z) = z**2 - 11*z - 13. Let j be f(12). What are the prime factors of p(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -3*m**3\/2 - 5*m**2\/2 + 22*m. Let k be f(-1). Suppose -k*y + 44 = y - j, y + 12 = -5*j. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21.00061 + 21. Round s to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69227538.\nAnswer: 2, 3, 11537923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 10:18 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {i: 1, c: 1, s: 2, l: 1, b: 1, f: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - 33*t**2 + 22*t - 80. Calculate the remainder when j(-34) is divided by 97.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 277313799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**5 - 2400*f**4 + 1012500*f**3 - 168750000*f**2 + 7910156250*f = 0.\nAnswer: 0, 75, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -9*z + 359. Calculate the highest common divisor of z and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + l + 3*l)*(45*l + 3*l - 2*l).\nAnswer: 138*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 908477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.113 - -0.291. Let q = -4.383 + t. Let w = q + -0.021. Put -0.2, w, -0.5 in descending order.\nAnswer: w, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-153)\/12 - 9\/(540\/105).\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7804, -135 in increasing order.\nAnswer: -7804, -135, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84538.4 tonnes to milligrams.\nAnswer: 84538400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-4 + sqrt(76)*-3).\nAnswer: -12*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14 and -0.13342.\nAnswer: -1.86788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*y + 3*y. Let r be 2 - (0\/(-9))\/(3 - 1). Let j(l) = -l + 8. Let o be j(6). Solve -y*t + s = -2*s + r, -t - o*s = 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4446 + 39?\nAnswer: 4483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of -s**4\/4 - 2*s**3 - 7*s**2\/2 - 7*s - 101. Let d be m(-5). Solve -d*u = -4*n + 6, -4*n + 1 = -2*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of 0*m - 1\/20*m**5 - 11\/960*m**6 + 7\/16*m**4 + 0 + 1\/3*m**3 + 16*m**2. Let w(q) = 0. Calculate q.\nAnswer: -4, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -219*z + 1348*z - 138*z - 39640 = 0 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000003836 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51\/(-68) - (-1)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6849 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31077.\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53564 is divided by 147?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/3)\/1*-50*6. Let v(i) = -i**3 + 7*i**2 - 6*i + 6. Let b be v(6). What are the prime factors of z\/6 - (-2)\/b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*w**3 - w**2 - 24*w**3 + w**2.\nAnswer: -65*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 415 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 38 and 1729.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5204570 to the power of 1\/2, to the nearest integer?\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52)\/(-143520)*40*9.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-17))\/((-547)\/46495)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 4244535 (base 6) to base 2\nAnswer: 110010111000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.8817948 to three decimal places.\nAnswer: -16.882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 103.4, 0.4, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -29664171898205522 - -29664167309129293.9999889. Let p = -4589076493 - t. Let q = -265 - p. Round q to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*u + 180 = 14*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 23*w + 100. Let t be y(17). Suppose -4*c + 11 = 3. Put 0, t, c in increasing order.\nAnswer: t, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -919402, -919394, -919408, -919456, -919550, -919702, -919924?\n\"Answer: -2*o**3 + o**2 + 19*o - 919420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-1\/8)\/h**22*(h*h**(2\/67))\/h*h**(-2\/17)*h assuming h is positive.\nAnswer: h**(-193291\/9112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14715 and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s - 4*s + 4*s)*(3 + 1 - 2) - 28*s - 530 + 530 + 2*s + 2*s - 5*s + 2*s - 1 + 1 + (1 + 5 - 4)*(s + 1 - 1).\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -55, 2 in decreasing order.\nAnswer: 2, -18, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1013*v**2 - 261*v**2 - 260*v**2 - 241*v**2 - 248*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3775458 weeks in nanoseconds?\nAnswer: 228339699840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + h - 4. Let f(x) = x**2 - 2*x + 5. Let a(w) = 6*f(w) + 5*t(w). Let q be a(7). Calculate the remainder when q\/4*138\/15 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 times 1.91?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u - u = -15403 + 15417, d - 55 = 4*u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + i**2 + i + 1. Let l(d) = -4*d**4 - 50*d**3 + 194*d**2 - 222*d + 62. Let o(h) = l(h) + 10*s(h). Find k, given that o(k) = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 AM and 1:09 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -294*m + 19688. Give s(67).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-702)\/65)\/((-6)\/20) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 3:13 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1331))**2 + 3.\nAnswer: 22*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18539*q - 9447*q - 9184*q.\nAnswer: -92*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2020 (base 4) to base 5.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 67245.67 grams?\nAnswer: 67245670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -217, -224, -243, -280, -341?\n\"Answer: -y**3 - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -3*k**2. Let p(l) be the second derivative of -l**4\/8 + l**2 + l. Let w(j) be the first derivative of p(j). Calculate a(w(z)).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 2*j - 5*j + 28, 0 = 4*j. Suppose -2*p + 19 = 2*d + g, 0 = 2*d + 4*p - 14. Find the second derivative of 2*z**5 - 2*z**5 + 12*z - 5*z**d wrt z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7942*b**2 + 43*b + 15866*b**2 - 7922*b**2 - 2*b**3 + 2 + 44*b**4 in the form k + j*b**2 + r*b**3 + l*b**4 + x*b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 11 - 35 = 0. Calculate the remainder when 1298 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -4*h - 125 + 366, 5*k = -4*h + 245. Find the common denominator of 27\/8 and (-14)\/h + (-20)\/(-50).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 73 = -3*i, 5*i = -3*x + 8*x - 125. Let v = -257 + -43. What is the tens digit of (18\/i)\/(3\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 + -7 - 3) + (-6 - -9 - 17).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -362, -1331, -2886, -5039, -7802?\nAnswer: -11187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 5 - (2 - 1\/1). Suppose 0 = -r - 0*c + 2*c - 1, -m*c = 5*r + 5. Let o be ((-8)\/(-2))\/(r*(-5 + 3)). Let n(y) = -2*y**3 + 2*y**2 - 2. What is n(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 69621.9 millennia?\nAnswer: 6962190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -329 + 151 + 170109*f + 178.\nAnswer: 170109*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 - 10*g**2 + 6*g + 8. Suppose 4*w - 7 = 4*z + 37, 4*w - 5*z = 46. Let r be t(w). What are the prime factors of (0 - r) + -2 - -3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1220300120 (base 4) to base 5\nAnswer: 102212310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22*i**2*u**3 - 56388*i**2*u**2 - i**2*u + i*u**5 - 147*u**3 wrt u.\nAnswer: 132*i**2 + 60*i*u**2 - 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/21976 and -3\/126362?\nAnswer: 505448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i**3 + 11*i**2 - 7*i + 1. Let v be h(-9). Let s = 888 + v. Suppose -5*w = 3*d - 7*d - 385, 5*w = 5*d + s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 11:06 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 2*p**2\/7 + 10704*p\/7 + 106840\/7 = 0.\nAnswer: -5342, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 486 divided by 18182?\nAnswer: 243\/9091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52 is divided by ((-1 - -4) + 9\/(-6))*6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - (1 + -1) - (-248 - -266)) + -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -863, -3391, -7387, -12671, -19063, -26383, -34451?\nAnswer: -43087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 at most as big as 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2 + 9*a + 18. Let p(h) = -h**2 + 8*h + 18. Suppose -26 = -3*v - 14, -11 = w - 2*v. Let c(k) = w*s(k) + 4*p(k). Give c(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2935 - 7*u - 2935.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 231376633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*c**4 - c**5 + 9*c**4 + 3*c**5 + c**5 + 2 - 2 + (c + 2 - 2)*(0*c**4 + 3*c**4 - c**4) + 4*c**5 - c**5 - 4*c**5.\nAnswer: 4*c**5 - 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -10*a**2 + 6*a - 26. Let l = 3258 - 5163. Let k be (-2)\/(-16)*-2 + l\/(-20). Let x(o) = 3 - 1 + 3 + 2*o**2 + 94*o - k*o. Determine 3*f(z) + 16*x(z).\nAnswer: 2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -8*k - 24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -194*r + 4 + 192*r + r**2 - 2*r**4 - 2*r**3 - 1 - 1 as j*r**4 + i*r + b + s*r**2 + k*r**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5594473699.\nAnswer: 20479, 273181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78416 + -0.13.\nAnswer: 78415.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*a = 110*a + 735 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 116\/14 + -5 - 3. Is h greater than or equal to -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1))**(-30)*(g**(1\/4)*g*g)\/g**1)\/((g**(2\/3)*g*g**(3\/7))\/(g**(-6)\/g*g**(-5))) assuming g is positive.\nAnswer: g**(1441\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 1. Let l be ((0 - 0)\/n)\/1. Suppose -d - 10 = 2*x + d, -17 = 5*x + d. Sort 5, l, x.\nAnswer: x, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/14 + (-1349)\/497.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-243))\/((-40)\/720)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -18 + 18 + 1954 - -6 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 928 is divided by 3832\/8 + (-14 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a + a - 5 = j, 3*a = j + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23001, 10, -1 in descending order.\nAnswer: 10, -1, -23001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.81 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -6*d + 72. Let m be q(11). Let r be (-36)\/6 - (-8 - m\/(-2)). Let f(l) be the third derivative of -l**6\/24 - l**5\/60 - l**2. Give f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122 - 46 = -12*s. Suppose 20*t - 18*t = s. Solve -z = -3 + t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4 and -98943940652.\nAnswer: -98943940648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 95032 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12885 - -64458\/5. Let p(y) be the first derivative of 0*y**4 - z*y**5 + 19 + 0*y**2 + 4*y + 0*y**3. Differentiate p(g) wrt g.\nAnswer: -132*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(640))\/sqrt(2).\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 523 a factor of 32949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of 1\/120*q**6 + 4*q**2 + 0*q - 5\/6*q**3 + 1\/6*q**4 - 3\/20*q**5 + 0. Is c(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75729.3 rounded to the nearest 1000?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -32.3, 3 in decreasing order.\nAnswer: 4, 3, -32.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -322 - -1291\/4. What is the closest to -6 in -0.3, 0.4, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {b: 4, l: 1, j: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 3*l + 35. Let m be b(-10). Solve 4*u + m*f = -3, -3 = 3*u + f + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5890 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*q - 3*p + 42 = 0, 3*q - 5*p - 17 = 0. Suppose q*w + 13 = 10*w. Calculate the remainder when 46 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 4*w**2 - 7*w + 5. Let h be c(2). Let q(d) = -d + 13. Let t be q(h). Let n(i) = 3 + 9 - i + 0*i - t. What is n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*j + 819 = -8*j + 39*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 9*j + 5*m - 35 = 0, -7*m + 5 + 31 - 8 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -55292497*n**2 - 2371541*n.\nAnswer: -110584994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5 + 2)*(-13)\/((-429)\/(-77)). Solve -2*h = -10*h + v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/2 - (3 + 9\/(-2)). Suppose -5*x + x = o*x. Is x greater than or equal to -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 divided by 22219981.\nAnswer: -23\/22219981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 3\/2*c + 1\/2*c**3 + 0*c**2 = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 9) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n**2 + 7*n**2 + 15*n**2 + 2*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -38.4077206 rounded to two dps?\nAnswer: -38.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 - -10. Let u be -1*v\/(-1 - -3). Solve 4*z + u + 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 5*w**3 + 329*w**2 - 65*w + 187. Give y(-66).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 PM and 6:17 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-1945.\nAnswer: 972.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49584 = 22*b - 28*b. Suppose 0 = 14*d + b - 24588. What are the prime factors of d?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 9 + 0 = d, -4*w = 12. Solve d*a = 12 + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-768)\/(-112))\/(38\/(-133))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {a: 3, x: 4, j: 2, g: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -56*u + 51*u - 260. Let b = 57 + u. Suppose 0*v = -v + b, 5*o - 2*v = 930. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) -9  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, k: 1}. Give prob of picking 1 k and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.06 + -0.12. Let x = -2158 + 2157.94006. Let g = x - a. What is g rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 273*k + 1587966 = 275*k - 2*i, i = 4*k - 3175914. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 41*m - 3. Let o(n) = -n + 3. Determine -4*a(c) - 4*o(c).\nAnswer: -160*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 79288 and 2332?\nAnswer: 79288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, t: 1, m: 6, o: 3, d: 3}. Give prob of sequence odo.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 0*r + 5. Let u = -613\/5 + 123. Let k = -0.3 + 0.4. Which is the closest to r?  (a) u  (b) -2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = 25*y - 29*y + 8, -4*q + 5*y = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 1:14 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-26) + (-9824)\/(-312). Let f = c + -2356\/75. Are 0 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**4 + 24745*j**3 - 152917773*j**2 - 1992461945*j + 2145354974 = 0. What is j?\nAnswer: -14, 1, 12379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 18 = 5*g. What is the tens digit of ((-6264)\/21)\/g - (-2)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 + (-34)\/9 + 50\/18. Suppose 206 = 4*n - l*x + x, -5*x - 107 = -2*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0284 + -0.0416. Put 1\/2, t, -1\/11 in ascending order.\nAnswer: -1\/11, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d**2 - 2*d**2 + 192 + 4*d**2.\nAnswer: 2*d**2 + 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 10.2, -0.2, 1, -2, -42 in decreasing order.\nAnswer: 10.2, 4, 1, -0.2, -2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 944506448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 5*t - 95, -5*b + 139 = 2*t + 33. Suppose 0 = -2*l + 4*z + b, -25 = -l - 2*l + z. Is 2\/7 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h + h + 2*h. Suppose r + 7*r = h. Which is greater: 2\/3 or r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.091 in -2, 7\/5, 1.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 39092480 and 1792.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -162, -846, -1982, -3570, -5610, -8102?\nAnswer: -11046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert ae7642 (base 16) to base 2.\nAnswer: 101011100111011001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - (-488)\/40 - 29?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 0.8.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 3) + (0 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 81, 195, 359?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 + 0.8. Let g = 0.07 + 0.43. What is the third biggest value in g, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04769*12.629.\nAnswer: 0.60227701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24740 is divided by 414.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.01 - -0.19. Suppose -5*k - 5*s - 13 = 27, 37 = -4*k - 5*s. Put 0.06, k, x, 0.5 in ascending order.\nAnswer: k, 0.06, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 o when four letters picked without replacement from {o: 11, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 3*h**2 + 1. Suppose -3*j + 64 = 7*a - 2*a, 0 = 2*a + 4*j - 20. Let p(x) = 4*x**3 - 14*x**2 + 4. What is a*f(d) - 3*p(d)?\nAnswer: 2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*l**3 - 82*l**2 - 1870 wrt l?\nAnswer: -27*l**2 - 164*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.3 + -2.7. Which is the third smallest value?  (a) 1\/9  (b) -2\/9  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 - 7*a**2 - 7*a - 5. Let i be y(-5). Let o be (5\/3)\/(i\/(-24)). Find the common denominator of -3*o\/(-21) + 1605\/140 and 19\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -102 + 112. Is (-2 + u)\/(3\/66) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.71285842 to 4 dps.\nAnswer: -8.7129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 40\/16*(-6)\/(-15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = -u + 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-16)*-4)\/(2\/8). Suppose -3*x + 61 = o*t, 4*t - 11*x = -6*x + 89. Calculate the greatest common factor of t and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 29, 0, -0.4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l - 2*l + 39*l**3 - l + l - 36*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4 = -0. Suppose 4*q + 1 = 9. What is the third derivative of -2*t - t**x + q*t - t**3 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1175*m**2 - 1426*m**2 + 1981*m**2.\nAnswer: -620*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2718 - 2721. What is the second biggest value in 17, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -762, -1520, -2288, -3072, -3878, -4712?\n\"Answer: -u**3 + u**2 - 754*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1573 is divided by 477?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k - 1. Let q(j) = -j**3 - 4*j + 5. Give -q(i) - 5*u(i).\nAnswer: i**3 + 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -756 = -26*n - 2*n. Suppose n*t - 261 = 24*t. What is the highest common divisor of 348 and t?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of -81\/4*a**4 + 1 - 27*a**3 - 3*a - 27\/2*a**2. Suppose t(q) = 0. Calculate q.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -67993, -67996, -68001, -68008, -68017?\nAnswer: -68028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5121237 decades to centuries.\nAnswer: 0.05121237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*((-1)\/1 + 3). Let a be y\/6 + 122\/6. Let n(m) = -6*m + 1. Let c be n(-1). What is the greatest common factor of c and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -182*k**3 - 6*k**2 + 7*k + 243. Let x(v) = 3*v**3 + v**2 - v + 1. Let g(i) = f(i) + 6*x(i). What is the first derivative of g(m) wrt m?\nAnswer: -492*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 41, -371, -2, -0.2?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - -24) + -9 + (-57)\/6 + 3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -168*g + 13. Suppose 0 = 5*w - 4*y + 8, 3*w - 7 = 4*w + y. Is t(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/(-1 - 1\/2). Let i(h) = 2*h - 2 + 2 + 2. What is the least common multiple of 4 and i(u)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*k + 34, -2*z = -z + k - 30. Let j = 29 - z. Suppose -2*i + 1 = -g, j*i - 3*g = -2*i + 1. Calculate the lowest common multiple of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31 + -10. Suppose -5*h - u = -12*h. Solve 5*p - 9 = -2*i, -3*p + 3 = h*i - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 3)*(2 - 5 + 5)*(-4*o + 4*o - 5*o)*(3 - 4 - 23).\nAnswer: -240*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of 0*c**6 - 1\/6*c**3 + 0 + 0*c**5 + 0*c - 1\/70*c**7 + 0*c**4 + 3*c**2. What is the derivative of q(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 11*y**2 + y - 1. Let u(a) = -29*a**2 - 11*a + 8. Calculate 6*g(n) + u(n).\nAnswer: 37*n**2 - 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 3 - 17 = -4*s, -7*n = -2*n + 4*s - 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 5*o + 3. Suppose o*u - 4*u = 5, 0 = -2*t - u + 1. What is the smallest common multiple of t and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.5 + -2. Let x = 12 + -8. Which is the nearest to -1?  (a) -3  (b) x  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 61 - 30. Let o(y) = -y**2 + 6*y + 7. Let p be o(6). Suppose p*j = 74 + b. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*b**4 + 0*b**4 + 3*b**4 + (3 - 4 + 0)*(-2*b**4 + b**3 - b**3) + 0*b**4 + b**4 + b**4 + 8*b**4 + 10*b**4 - b**4.\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*m - 879 = 0. Suppose c - 358 - m = 0. List the prime factors of c.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 242597810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13086 - 27619 = -35*m. Calculate the greatest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1795 and 2518385.\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.320138 + 0.318. Round j to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/5 + (-23698)\/10. Let a = -406\/661 + -9369883\/3966. Let z = y - a. What is the common denominator of -103\/18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 4*v - 44, 2*v = -f + 3*v + 9. Suppose -2*b - 4*w + 146 = -2*w, 5*w = 2*b - 125. What is the highest common factor of b and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -10*(21\/(-6) - -3). Let o(l) = 2*l - v - 7 - 6*l**2 + 7*l**2. Does 4 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1208)\/(-6) + (-306)\/27 + 10. Calculate the greatest common factor of r and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18 * -0.21.\nAnswer: 3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 5*h - 18, -2*f - 10 = -2*h - 6*f. Suppose -6 + h = -l. Let p(u) = -u**2 - 17*u - 39. Let q be p(-14). Solve 3*w = q*b - 18, -b + l = w - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 89, -0.3, 0.9, 0.0388?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from zznzzwzkzfknwkwk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3030000 (base 4) to base 7.\nAnswer: 53031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5686 + -5675. Let y = -2.1 - -2. Which is the biggest value?  (a) y  (b) g  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16484.\nAnswer: 2, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/(-15))\/(-2*22\/55)*1. Sort 19, h, -4 in descending order.\nAnswer: 19, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 78 = -10*v. Solve 7*u = v*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 541758 is divided by 622?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbu when three letters picked without replacement from gibiiibwwguw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 divided by 2?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 - 33 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -176\/5  (c) 1\/11  (d) 0.5  (e) -0.681\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lbbbbrzlzbb. What is prob of sequence rzl?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + d**2 + 5. Let t be h(0). Suppose t*f + 1179 = 2*f. Let u = 576 + f. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -412 - -48 - -291 - ((-15 - -1) + 1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2784 times -215?\nAnswer: 598560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1))**(-24)\/(a\/a**(-3\/4)*a**(-2)))\/((a*(a*a*a**(2\/13))\/a*a*a\/a**6)\/(a**(-1\/9)\/(a*a**(1\/3)))) assuming a is positive.\nAnswer: a**(11537\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u - u + 2*u)*(144 - 144 - 75*u)*(-4 + 9 + 6)*(-u + 5*u - 6*u) as o + s*u**2 + v*u + q*u**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -29*d + 4. Suppose 5*x - 3*p + 11 = -0*p, 5*x = 2*p - 14. Let c be w(x). Calculate the highest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -33*w**2 + 1341*w + 493. Let s be i(41). Let z = 2 + -3. Which is the third smallest value?  (a) -90  (b) s  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 44\/10*(44\/8 - 3). Let l*j**3 + 24*j**4 + 0*j**5 - 3*j**2 + 3*j**5 - 33*j**4 - 2*j**3 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/147*7)\/(14\/((-2352)\/14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/121 + -498\/847. What is the closest to 2\/5 in -2, t, -13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 414\/(-297) + (-4)\/(-3). Which is the second biggest value?  (a) 1\/7  (b) -6  (c) 2  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -3) + 4 - 11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7682 + -3400. What are the prime factors of x?\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13.7305 + -14. Let q = 0.1706 + b. What is q rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -355 + 360. Suppose 9*u = d*u + 12. Let x(t) = -2*t + 4. Give x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**2 + 2*c**3 - 2*c**2 + 3*c - 14*c + 3*c**3 + 14*c + (c - c - 4*c**2)*(3*c - 4*c - c) - c + c + c**3.\nAnswer: 14*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.146 and 0.2025?\nAnswer: 0.029565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -39 and 394?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 PM and 6:15 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7, -2, -3, 22, -21 in decreasing order.\nAnswer: 22, 3, -2, -3, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 19024.7  (b) 1  (c) -41  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {q: 4, k: 5, z: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 4*l + 19, 4*l - 29 = 10*m - 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 5*t + 4*f, -t = 4*t - 3*f - 7. Solve -t*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 33*l - 75*l + 36*l + (2*l + l - l + (3*l - l - 4*l)*(2 - 1 - 2) + (1 + 2 - 4)*(-2*l + 0 + 0))*(-2 + 7 - 2).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - 10. Suppose b - 5*b + 47 = q*s, -4*b = -5*s - 17. Solve 0 = -5*o + b + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 283113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 317 divide 10478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5003 is divided by 2501.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 47615*b**3 - 54*b**2 - 21055298*b?\nAnswer: 285690*b - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 149804?\nAnswer: 449412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5\/(5\/2))\/(-2). Let w = y - -3. What is the remainder when 7 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 988574 - 566*s - 988574.\nAnswer: -566*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 50 = -39*k - 4, 2*u + 50 = k - u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 118.7598641 rounded to 1 decimal place?\nAnswer: 118.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 + 51. Let v be (4\/1)\/(1 + 0). Which is the nearest to j?  (a) 0.4  (b) 1\/7  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) 2\/3  (c) 1469  (d) 7  (e) -3  (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1464 and 473787.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1939 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 636912 is divided by 15921?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18*b**4*c - 4*b**3 - 2*b**2*c**2 + b*c**2 - 13*b*c - 3*c**2 wrt b.\nAnswer: -216*b**2*c - 24*b - 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of 8*r**3\/3 - r**2\/2 - 9*r - 13. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 106 + -217\/2. Let d = -34 + 34.1. Which is the nearest to -0.1?  (a) t  (b) 3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -198\/7, -2, 0.2, 1242 in increasing order.\nAnswer: -198\/7, -2, 0.2, 1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190759 is divided by 4416?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 33*a**2 - 5. Let q(i) = 33*i**2 - 4. Give 6*n(p) - 7*q(p).\nAnswer: -33*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1213 bigger than 30337\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -35 + 43. What is the greatest common divisor of 88 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2025 and 1575?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(85)*-2)\/((sqrt(5)*2 - sqrt(5))*2).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-80468763\nAnswer: -40234381.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q - 5. Let v be p(-3). Solve 1 = -5*g + 4*k, -3*g - 4*k = 6 + v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, v: 8}. What is prob of sequence vtv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p - 2*p = -14. Let n be (p\/(-28))\/(1 + (-15)\/12). Let s be ((-3)\/3)\/((-84)\/(-8) + -4). Which is the third smallest value?  (a) n  (b) -6  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 545688601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5\/109 - -93\/2725. Suppose -5*l - 83 = -208. Let z = 19 - l. Which is the second smallest value?  (a) -4  (b) z  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + -3*(-7)\/(63\/(-6)). Let f(a) = -a - 5. Let l be f(-8). Suppose 0 = -n - 5*g + 26, l*n - 26 = g - 3*g. Put -5, n, y in increasing order.\nAnswer: -5, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.29 - 0.71. Which is bigger: i or -17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 - 36. Let x be (-1)\/(3\/s) + (-16 - -3). Let k = x - -29. What is the lowest common multiple of k and 39?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7354 at least as big as -36774\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87 = z - 4*z. Let b be 3\/3 - (-2)\/((-2)\/(-19)). Let v = z - b. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1247.21802ms to days.\nAnswer: 0.00001443539375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 + 1. Let l be (-2)\/(-9) + 7\/9. Let y(w) = w**2 + w + 1. Let h(s) = l*m(s) - y(s). What is the second derivative of h(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 56934*o - 113730. What is i(2)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*m**2 - 5*m**2 + 2*m**2)*((-4 - 2 + 0)*(4 - 2 + 1) - 18 + 1 - 2) as h*m + a + j*m**2 and give j.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21057510 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + (sqrt(140)\/sqrt(7))**2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 + -22. Suppose o*d - 4*r - 306 = 0, -128 = -d - 4*r - 5. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*k - 29*k + 1664. Suppose k - 181 = 4*u - 5*g, -5*u = -3*g - 830. Suppose -3*x = -u - 11. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*u + 9*u**2 + 6*u**2 - 17*u**2 - 2*u**3 - 1 - u + 3*u**3 to d + q*u**2 + j*u**3 + t*u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*s + 65 = -35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - 18*r**2 - 18*r - 83. What is l(19)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -33  (c) 158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 3*k - 9 + 21, -x = 2*k + 8. Suppose 4*z - 138 = -2*p, p + z + x = 67. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 36*w**3 - 4*w**2 - 2*w - 4. Let l be i(-2). Let k = l - -511. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -6*m**2 + m. Suppose 5*d - 19 = -14. Let z be i(d). Sort 5, z, 4 in decreasing order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1347, -1, 4, -7 in increasing order.\nAnswer: -7, -1, 3, 4, 1347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -2314147?\nAnswer: 231414a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-315)\/135*(-9)\/(-7)*2\/34\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15624331.011 + -0.1.\nAnswer: 15624330.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-316)\/869)\/(75\/(-550)) + (-394)\/150?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 37, 53, 67?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 4*x + 36130, 71*l - 14464 = 69*l - 4*x. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13.57 - 2.67. What is p rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1169 in -0.4, -4, -21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uup when three letters picked without replacement from {u: 2, p: 1, z: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 3 + 3)*(0*g + g - 3*g + 1 - 1 - 4*g + (-1 + 0 + 0)*(g + g - 3*g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 585 and 1348776.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (48\/(-56) - (-123)\/(-28)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 4 = -4*t, 0 = 6*y - 3*y - 2*t. Let f = -4 + 9. Suppose -22*d = -36*d - 28. Sort d, f, y.\nAnswer: d, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 62 - 64. Which is the nearest to 0?  (a) -38  (b) o  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3*d - 266. What is j(-55)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - 10001100100000100110?\nAnswer: -10001100100000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/(-1))\/(7\/121996). Let c = -9314 + r. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5502 - 4096. What is the highest common factor of 3034 and f?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58637.\nAnswer: 191, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7607)\/8 - 15\/120. Let q = d + 281. List the prime factors of 3 + q\/(-5) - -3.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 851.8879 - -0.1121. Let b = f - 852.000341. What is b rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36347.\nAnswer: 19, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of -n**6\/120 + n**5\/12 + n**4\/4 + n**3\/2 + 8*n**2. Suppose -2*u + 0 = -12. Let m be z(u). Do 3 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1664\/23193 - -2\/859. Which is the biggest value?  (a) -0.74  (b) r  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 4*u**2 + 56*u + 13. Suppose 34*b = 37*b - 540. Calculate the remainder when b is divided by t(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32112 is divided by 3005?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/6)\/(1\/(-33)). Let i = k + -14. What is the remainder when (-2)\/7 + 214\/14 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 376*x**2 + 140*x**2 + 2*x + 199*x**2 - 176*x**2.\nAnswer: 539*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8\/12)\/((-80)\/714). Let q = r - 19\/5. Find the common denominator of q and 106\/6*(-2 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104 (base 11) to base 6.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}