diff --git "a/data/dm_maths/full_data_2/10336_11255.jsonl" "b/data/dm_maths/full_data_2/10336_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10336_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 1\/(5\/3)*(-2655)\/177?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 794182297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -100?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10010101 (base 2) to base 7\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivivvhvov. Give prob of sequence vv.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-5\/2)*a*a**(-2\/9)*((a*a\/(a**1*a*a))\/a)**(2\/17) assuming a is positive.\nAnswer: a**(-293\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5812137.\nAnswer: 3, 271, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 219\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9 + 1 = 0. Solve 2*r + 8 = -s*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*(-316)\/237?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 52 = -4*b, -4 = g + 3*b - 3. Let x(s) = -3*s**2 + 24*s + 22. Let w be x(g). Round w to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.10886 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(13) + sqrt(91)\/sqrt(7) + -5 + 1 + -5)**2.\nAnswer: -216*sqrt(13) + 798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12926 - 413713\/32. What is the common denominator of r and 34\/179?\nAnswer: 5728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 3245?\nAnswer: 25960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269719?\nAnswer: 269719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4547 (base 11) to base 6.\nAnswer: -43404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = 5. Let r be 17 - ((1 - w) + 0). Calculate the highest common divisor of r and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/221952 and -91\/3072.\nAnswer: 887808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from llllculuulucululul.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 7. Let s(o) = 6*o - 6. Let a(y) = 5*q(y) + 6*s(y). Let t be a(2). Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 3)*(-169 + 94 - 68)*(-w**2 - w**2 + 0*w**2) to u + x*w**2 + g*w and give x.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 5, i: 1, s: 1, k: 3, o: 1}. What is prob of picking 1 o and 1 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.6 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4640\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 599851.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9396391482 to the nearest integer?\nAnswer: 96935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-4*5 - (3*(sqrt(156)*4 - sqrt(156)) + sqrt(156)))\/((sqrt(972) - sqrt(972)*5)*2*-2).\nAnswer: -5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(931) - (2 + sqrt(931)*2))*-3)**2 + -3 + ((sqrt(931)*1 + -4)*-1)**2.\nAnswer: -49546 - 1568*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*p - 4*p - 2*p)*(-4 + 1 + 4) + 3*p + 3*p - 5*p - 7*p + 4*p + 2*p)*(0*p - 2*p + 7*p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659189.\nAnswer: 13, 59, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13706308 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3379 - -538. Let r = -2012 - j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = -4*z, 5*z = -7*x + 5*x - 29. Let w be (14\/z)\/(5\/25). Let t = -4 - w. What is the highest common divisor of 30 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose 2*n = -c*d + 17, 9 = -n + 3*d - d. Solve 3 = 4*y - n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-406)\/(-348)*3\/1?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 12:16 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2482287*s**2 - 1709935 wrt s.\nAnswer: 4964574*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 4220050 = 5*a, 0 = 5*l - 5*a - 4220050. Suppose 4*f = 5*i - l, 0 = -6*f + 3*f - 2*i - 632996. Round f to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from jcctc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*y + 4*q, -5*y + 5*q - 9 = -44. Suppose -5 = -5*h - 2*b - y, 3*h + 14 = -5*b. Solve -3*s = h*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1113 times 0.0521\nAnswer: 57.9873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:08 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-2 + -4 + sqrt(11) + sqrt(44) + 2 + sqrt(11) + -4)*-3.\nAnswer: -6*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:39 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49554891*p**3 + 82569631*p.\nAnswer: 297329346*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322.9*-4.\nAnswer: 1291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7118138055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 16\/9, -0.2, -3\/4, -69463?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i = -11*i - 228*i - 861 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3432*b - 226018 = 382*b + 66782 for b.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -236*v + 7295. Let g(p) = -105*p + 3647. Calculate -9*g(o) + 4*m(o).\nAnswer: o - 3643","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 12\/(-4))*1. Let x be i - -2 - (13 + -17). Suppose 0 = 8*r - x*r + 36. Is r < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {u: 4, n: 1, s: 5}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(891))*6 + 2*sqrt(891) + -5 - (-1*-3*(sqrt(891) - -1*sqrt(891)))**2) + 2 + -2.\nAnswer: -32081 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*s**3\/2 + 43341*s**2\/4 - 297990*s + 3025\/4 = 0 for s.\nAnswer: 1\/394, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-3*sqrt(24)\/sqrt(4))\/(sqrt(48)*3 - sqrt(3)) - (5 + -1 + sqrt(98)*2)))**2.\nAnswer: 1570*sqrt(2)\/11 + 52323\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 195037, 195031, 195021, 195007?\n\"Answer: -2*b**2 + 195039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6957 = 7*b - 18934. Let v = b - 982. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.738303075 to four dps.\nAnswer: -9.7383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52399\/21 - 2499. Find the common denominator of s and -19\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 - 3366*a**3 + 525048*a**2 + 255673440*a + 1014076800 = 0. Calculate a.\nAnswer: -194, -4, 660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/4453 + 396437\/89060. Find the common denominator of g and (-184)\/156*27\/(-12).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -7. Let f(u) = -u - 1. Let a be f(-3). Suppose q = a*y - 3. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 689 = 1066. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o - 16*o + 2*o + o.\nAnswer: -37*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 - 9*k - 30 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534 = -48*s - 1110 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*n - 20*n - 76*n)*(4*n - 5*n + 2*n + (0*n - n - n)*(2 - 2 + 2)) to y + z*n**2 + f*n and give z.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 3\/(-2)*38\/(-3). Suppose -3*w = -7*w - d. Let u be (-1)\/(2\/6)*1. Put w, 4, u in increasing order.\nAnswer: w, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/((-9)\/6)*(1 - (-130)\/(-25)).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1569*u + 4113 = -198*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -18 (c) 1\/3 (d) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 102*d - 9730. Determine f(92).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 11*h**2 - 11*h - 4. Let l be q(-10). Suppose -l*x + 6 = -4*x. Let d = -0.6 - -0.2. Sort -3, d, x in ascending order.\nAnswer: -3, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 15 - (4 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-4 - -3) + -206. Let h = v + 1425\/7. Put -0.03, h, 2 in decreasing order.\nAnswer: 2, -0.03, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1046\/5? (a) -1\/4 (b) 18014\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327702987?\nAnswer: 13, 102130999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457 + 20*d - 457.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**2 + 0 + 1\/80*h**5 - 1\/24*h**4 + 0*h**3 + 2*h. Factor y(k).\nAnswer: k**2*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -18419672\nAnswer: 1289377.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -135.10519 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-10)\/5*(-1)\/(-2). Suppose y = -8*c - 9 - 23. Let a(g) = -3*g**3 + 2*g**2. Let u(f) = -f**2. Calculate c*u(q) - 2*a(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*z = -27*z + 6950 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164282985 to the power of 1\/3, to the nearest integer?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/84 and -19\/2920904.\nAnswer: 8762712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3252\/(-1355)*(-5)\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2543.814 + -2576.81402. Let w = s - -33. Round w to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20012020 (base 3) to base 4\nAnswer: -1012203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {o: 2, y: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/47, -0.5, -133, 2, -4 in increasing order.\nAnswer: -133, -4, -0.5, 2\/47, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = -2*c + 45. Let u = c - 0. Suppose -x + u*g - 5 = 0, -3*g + 8*g - 19 = -x. Solve -8*y + x*y + 3 = -d, -3*y = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7680466 centuries in months?\nAnswer: 921.65592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11460 and 168080?\nAnswer: 504240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, f: 4, b: 4}. What is prob of picking 2 i?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -4) + 5 + (-2 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -60705 * 95\nAnswer: -5766975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38807 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*d + 3*k + 20, -4*k = d - 14. Let a(f) = -f**2 - d + f - 3 + 1. Give a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2400)\/8640)\/(2\/3 + 1). What is the second biggest value in -3, y, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -24*z**2 - 4*z + 4*z. Let q(y) = -53*y**2 - 4*y - 4. Let g(l) = 146*l**2 + 11*l + 11. Let w(d) = 12*g(d) + 33*q(d). What is t(w(u))?\nAnswer: -216*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let q = -39 - -77. Let a = q - 38.03. What is the third biggest value in 0.2, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 33 (c) 2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Suppose 111 = 3*a - 0*a. Suppose -f*q + a = -8. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36734*9.\nAnswer: -330606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31176 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 3*d + 47. Determine u(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 26 + 24 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 34. Are f and -6\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 2 - 3*q**2 - 5 - q**3 - 5*q. Let p be x(-3). Differentiate -1 + p*j + j - 3*j wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9780849 + 1.89\nAnswer: 9780850.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + w - 134 + 154, -2*w = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1772206, -3544413, -5316634, -7088875, -8861142, -10633441, -12405778, -14178159?\nAnswer: -15950590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1331, -1437, -1607, -1877, -2283?\n\"Answer: -6*f**3 + 4*f**2 - 76*f - 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -3271375?\nAnswer: -3271377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -36*d**5\/55 - 9*d**4\/22 + 52*d**3\/33 + 7*d**2\/11 - 20*d\/11 + 1140. Find f, given that x(f) = 0.\nAnswer: -1, 2\/3, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39687013 to 3 dps.\nAnswer: 0.397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 1, 0.07 in increasing order.\nAnswer: -4, -3, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/9 and (-509)\/(-18) + 8\/36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3. Let m(n) = 25*n - 6. Determine m(a) - 10*u(a).\nAnswer: 25*a - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0619 + -0.2619. Let i = -166 + 1827\/11. Let o = -1 + -1. Which is the closest to o? (a) y (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/10*1)\/((-1)\/(-35)). What is the units digit of (-52)\/(-546) - 62660\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/594 and 570\/(-8)*38\/(-627)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38611067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 14*v**2 + 4*v - 2 + 2 - 2*v**4 + 17*v**2 - v**3 as x*v**3 + b*v**4 + m*v + k*v**2 + c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.05 + 0.05. Let b = -34.99 - -31.99. What is the fourth smallest value in b, 4, 1, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -145, -292, -453, -634, -841, -1080, -1357, -1678?\n\"Answer: -v**3 - v**2 - 137*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:41 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.00812 - -0.40812. Let r be ((-6)\/(-26))\/((-3)\/(-249)). Let v = r - 19. What is the nearest to v in 0.2, -4, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2. Let l(r) = -3*r**2 + 6. Let h(c) = -1. Let u(j) = 6*h(j) + l(j). Calculate g(u(n)).\nAnswer: 54*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s. Let x be b(2). Suppose -20 + 56 = x*q. Suppose -o - y - y = -q, o - 5*y - 2 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 16*g + 18. Let r be s(-8). Solve 2*t = -10, 2*u - r = u + 3*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 418 = 57*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008234197 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1 = -9. What is the smallest value in s, 0.01, -2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65112*y - 389584.\nAnswer: -65112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13221)\/15255)\/(2\/12*-2).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 2 - 12*c**2 - 2 + 8*c**2.\nAnswer: -4*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/8 + 2*t**3\/3 + 4*t**2. Let p be c(14). Suppose 3*a = 5*q + 118, -255 = -5*a - 4*q - p. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1412 + 1412. Sort j, -4, -11.\nAnswer: -11, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*h + 18454 = 0, h + 14777 = 4*i - 2*h. Let g be 1\/3 + i\/84. Let u = -3368\/77 + g. What is the closest to 0 in 6\/7, u, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2.3?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(-3 + 5 + sqrt(1700) + sqrt(1700)*1) - (-2 + 3*sqrt(1700) - -4*(sqrt(1700) + sqrt(1700)*1))**2).\nAnswer: -411424 + 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(162))**2*-1.\nAnswer: -1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.278 + -1.04.\nAnswer: -35.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 654016433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8316, 8396, 8466, 8520, 8552?\n\"Answer: -f**3 + f**2 + 84*f + 8232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 1\/6*y**5 + 2\/9*y**2 - 1\/54*y**4 - 2*y - 7\/27*y**3 - 1\/15*y**6 + 0. Let a(d) = 0. Calculate d.\nAnswer: -2\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77563?\nAnswer: 77563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p + 21 = 0. Suppose 2*g - b = 100, -p - 5 = -3*b. Suppose -g = -2*x + 54. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587685 a multiple of 769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*t = -526*t + 174*t + 180*t + 230 for t.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/4 + ((-855)\/(-30))\/19.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -117137, 2, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -11. Solve 5*v - 14 - 11 = -w*f, 3*f - 13 = -v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107*y + 383 - 383)*(-4 + 3 + 0) - 2*y + 2*y + 2*y to j + q*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43584 and 296568?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/(-4 + 1))\/(-2 + 0). Let o = -11 + u. Solve 7*p = -o*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 + 101. Is -1\/11 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486666 and 684?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -s, 0 = -0*s + 2*s + 3*g - 8. Suppose -4*a = -688 - s. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 20 = 426. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/5, -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7034 + 8966. What is d rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**7\/420 + 5*t**4\/24 - 7*t**3\/3 - 1. Let k(u) be the third derivative of m(u). What is the derivative of k(s) wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 18*h - 23. Let p be k(17). Let o(j) = -6*j - 9. Let t(f) = -3*f - 5. Determine p*o(r) + 11*t(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -4*x + 26, -2*x = -3*y + 19. Suppose -8 = 5*p - y*p. Solve 0 = -p*c - c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y**2 + 7*y + 6. Let w be i(6). What is the units digit of (1 - w\/(-8))\/((-1)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6*3\/27). Let q(x) be the first derivative of x**4\/4 - x**2\/2 + x + 1. Let g(s) = 8*s**3 + 2*s**2 - 8*s + 6. What is n*q(p) - g(p)?\nAnswer: -2*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 12*h + 16. Give o(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/6 and -83\/1582?\nAnswer: 4746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1246 - 16201\/13. What is the nearest to -10\/11 in -2, h, 1\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3660 + 3660. Solve b = -7*l - 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 47690681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.111 - 3.411. Put m, 2.33, -2, -3 in ascending order.\nAnswer: -3, -2, m, 2.33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)*2)\/(sqrt(294) - sqrt(294)*-1 - sqrt(294)) - -1*(sqrt(252) + 2)*-5)**2.\nAnswer: 4080*sqrt(7)\/7 + 42316\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 38 = 4*g + 9, -a = 2*g - 1. Let i = -5 + 23. What is the highest common divisor of a and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -5*v + 10. What is the least common multiple of 0 - -17 - (v + 0) and 5?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (-2 - (-7 - -9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/7, -2.9, 2?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 29, 2554, 3\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 123681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - h = 4*h - 6, -4*g + 14 = 5*h. Let f(m) = -13*m + 1. Let s be f(g). Let l be ((-80)\/s)\/(-2)*-24. Calculate the greatest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9528 - 7708 + 6228 = 1376*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3029, 0, -4.\nAnswer: -4, 0, 3029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134874446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s + 1. Let t(u) be the second derivative of u**4\/3 - u**3\/2 - 5*u**2\/2 + 25*u. Give 5*m(x) + t(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*f - 14 = -612*f - 3*t, 4*t + 8 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*h**2 - 19*h + 50*h**2 - 28*h**2 wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9307061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:33 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 113*c - 1680. Let d be f(91). What is the highest common divisor of d and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2 - 22. Suppose -3*k = -3*h - 23976, 11111 + 12870 = 3*k - 4*h. Suppose 0 = f*s + z - k, -3*z - 1771 = -5*s + 6208. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(500)*-6)**2.\nAnswer: 18002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42271 and 2621?\nAnswer: 110792291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 2) + -17 - (28 - 19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/21 (b) 0.84 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:29 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -29*w**2 + 4*w - 3. Let u be o(1). Let n = u - -39. What are the prime factors of (n*(-8)\/5)\/((-1)\/5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301405 is divided by 100465.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 0*k - 1\/3*k**3 + 0*k**2 - 7. Let b(t) = -t**2 - 2. Let l(q) = 24*q**2 + 51. Let j(p) = -153*b(p) - 6*l(p). Give j(s(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -48*v - 8. Let g be i(-4). Suppose -2*d + 42 = -g. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 173512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 0*f + f)*(-9*f - 10 + 10)*(-3*f - 3*f + 2*f) to u*f**3 + h*f + q*f**2 + l and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 i when three letters picked without replacement from {f: 1, q: 4, j: 2, i: 3, s: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287 divided by 7.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84202.4098 + 84220. Let i = t - 17.6. What is i rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 1, q: 1, y: 5}. Give prob of picking 1 q, 1 y, and 1 a.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 6*v + 4*v. Is 9 a factor of u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z - 266. What is p(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016521 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -25033216937101.\nAnswer: -25033216937105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.4 + 37.4. Let h = -0.43 - -0.03. Let q = 4.92 - -0.08. Sort h, t, q in increasing order.\nAnswer: t, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16154\/61 - -10019933\/37820. Find the common denominator of -119\/1550 and m.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**2\/7 + 102*c\/7 = 0.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 + 286 = 6*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + 1.6. Let k = -0.5 - -0.3. Let f = k + 0.1. Which is the closest to f? (a) m (b) -4 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.642601311 to three dps.\nAnswer: 0.643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640643?\nAnswer: 101, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12. Let q be -3 + 0\/4 + v. Let s(i) = -2*i - 1. Let j(l) be the third derivative of l**4\/8 + l**3\/6 + 2*l**2. What is q*j(k) - 4*s(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 - 33*z**2 + 10*z**2 + 8*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -176761?\nAnswer: 1\/176761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y + 616 + 7491 = -293 for y.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 882487*t + 5294923. Determine c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 450677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 0. Let i = d - -8. Suppose 154 = i*h - 2*x, 89 + 67 = 4*h - 4*x. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 5*r**2 + r + 4. Give l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3533*a. Let r(c) be the first derivative of -c**2 - 285. Calculate r(o(b)).\nAnswer: 7066*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1296230 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 38892.\nAnswer: 116676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 - 15*s**2 + 5*s**2 - s**2 + 1 in the form i*s**2 + x + z*s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.396272nm in centimeters?\nAnswer: 0.0000003396272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -241.7 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 8*v - 13. Let s be m(10). Suppose -s*o - 6 = -9*o. Let c be o - (3 + 0) - -1610000. What is c rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 3*s**2 + 8 - 10 + 0 + s**3. Give v(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 402999784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 12, -6 = 3*a - 0*a + 3*i. Let g be (13\/4)\/(34\/32 - a). 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: In base 9, what is 74772680 + 10?\nAnswer: 74772700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911 = -681*q + 128*q + 33*q + 649 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**8\/560 - v**7\/280 + 2*v**3\/3 - 9*v + 14. Let i(b) be the third derivative of u(b). Factor i(q).\nAnswer: -3*q**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6 + 1)*3. Let a be 2*-2*2\/(-4). Suppose 0 = 4*i - s*i + a. Is i > 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/(1\/9). Suppose -5*t - c*p + 5 = -21, -t + 3*p = 2. Suppose -n = k + 3*k - 752, -t*k - 5*n = -768. Round k to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -188 (b) -3 (c) -20 (d) -0.2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/20 + a**4\/4 + a**3\/6 + a**2\/2 - 3*a. Determine o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1439919.\nAnswer: -1439919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -34. Let k(u) = 2*u**2 - 3. Let f be k(2). Solve 3*l = d + f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 z when four letters picked without replacement from yxexxxxze.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-26) + (-216)\/468.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5138896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.02 + 17.9. Round q to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 35 = f - 2*f, -5*s = -2*s + 15 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 + 5*c**2 + 5*c - 5. Let u = -49 + 44. Let y(w) = 4*w**3 - 7*w**2 - 7*w + 7. What is u*y(o) - 7*s(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)\/((-44)\/16 - -3). Solve -20 = 5*b, -2*b - o = -4*w + 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -519436 + 1439436. Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2494533741 - -2.\nAnswer: -2494533739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.560689 times 5?\nAnswer: 7.803445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a**2\/3 - 7688*a\/3 + 83657\/3 = 0. What is a?\nAnswer: 259\/23, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5\/15 + 248*l**4\/15 - 1212*l**3\/5 + 3968*l**2\/3 - 8690*l\/3 + 1800 = 0.\nAnswer: 1, 5, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32868652 or -32868650?\nAnswer: -32868652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 2 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in 0.3, 2, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = -4*g - 48, 2*k - 2 = 0. Let t(h) = h**3 + 12*h**2 - 13*h - 9. Give t(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/((-1)\/(-2)). Let x(o) = 6*o**2. Calculate the remainder when x(d) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5824608.\nAnswer: 2, 3, 17, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1055, 2034, 2881, 3530, 3915, 3970, 3629?\n\"Answer: -11*n**3 + 1056*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/396*168229\/3. Let y = q - 7645. Find the common denominator of y and -91\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17279312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0918830696 + 0.01069.\nAnswer: 0.1025730696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-21))\/(6\/18)*-14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -5632, -19010, -45062, -88012, -152084, -241502, -360490?\nAnswer: -513272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10517305500 to the nearest one million.\nAnswer: -10517000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271848 is divided by 3441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -o, -3*o + 3 = -0. Let c(n) be the third derivative of 19*n**4\/12 + n**3\/6 - 3*n**2. Is c(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 36*m + 25. List the prime factors of c(17).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 13 = -10. Let b(j) = -3 + s + 2*j**3 - 3*j**3. Calculate b(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(8) - (2*(sqrt(2) + -2 + sqrt(2)) + sqrt(2)))*-5)**2.\nAnswer: -400*sqrt(2) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-7))**(14\/13)*x**(-2\/57)*x*x*x**(-7)*x)**(-1\/49) assuming x is positive.\nAnswer: x**(-3394\/36309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -11*n**5\/15 + 25*n**4\/24 + n**3\/6 - 20*n**2 - 2. Find the second derivative of s(c) wrt c.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j. Suppose j*m = -4*m + 56. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74176.15 years to centuries.\nAnswer: 741.7615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 39213?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1167, -9097, -30609, -72483, -141499, -244437, -388077?\nAnswer: -579199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*a + 130, -5*d + 5*a + 120 = -25. Suppose -2*h - 9 = 1, 5*c - 80 = 4*h. Calculate the highest common factor of c and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1378 - 1457. What is the second biggest value in -1, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + 11*t + 14*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109141 less than -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67, 404, 965, 1750?\n\"Answer: 112*l**2 + l - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 2\/13, 2\/17, 1\/544?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 6*u. Let n be (28\/(-3))\/(1\/3). Let s = n + 25. Let c be x(s). Solve -h + 3 - 8 = c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.41 and 16882694?\nAnswer: 16882693.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Suppose -150 = 2*n + x*n. Let v be (-4)\/n*3 + 43890042\/(-105). Round v to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9)*(-2 - 1). Suppose 0 = -4*o - 3*d + 11, 4*o + 2*d = 15 - 5. What is the first derivative of -a + o*i**4 + 2*i**4 - 2*i**4 - 2 wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1487515 or 0.136?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -252655, 0.2, -8.\nAnswer: -252655, -8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 10:38 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 7*z**2 - 4*z + 6. What is u(-6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1786, -7172, -16144, -28702, -44846, -64576, -87892?\nAnswer: -114794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 + 19*l - 4. Let j(h) = 2*h**2 + 10*h - 2. What is -11*j(g) + 6*k(g)?\nAnswer: 2*g**2 + 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14968 is divided by 1151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + 1 + sqrt(1377) - 6*(1 + sqrt(1377))).\nAnswer: -225*sqrt(17) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a4fb40 (base 16) in base 14?\nAnswer: 161645a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 58*q**2 + 262*q - 6. Calculate g(-53).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 + 5*c**2 - 3*c. Let h = -2 + 0. Let s(m) = -3*m**3 + 4*m**2 - 2*m. Let r(y) = h*i(y) + 3*s(y). Find the third derivative of r(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*q = -60*q + 2*q + 1333 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-36)*-9*(-96)\/(-10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*b**4 + 0 - 1\/4*b**5 + 0*b + 0*b**2 - 1\/2*b**3.\nAnswer: -b**3*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 + 251. Let x be ((-30)\/(-50) + (-4)\/(-10))*0. Suppose x = -4*k - 16, -k - 15 - 13 = -3*h. Calculate the greatest common divisor of h and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76859698.75 to the nearest one million.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*30\/30*(-2)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 59313 (base 11) to base 9\nAnswer: 140327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 5*b**2 + 3. Give s(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a (base 12) in base 16?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038 minus 186432301034?\nAnswer: -186432299996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 25 - 5. Let m = b - 2. Solve -m = 3*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9727787 seconds to milliseconds.\nAnswer: 972.7787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -34. What is the smallest common multiple of f and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) 0 (c) 1 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h**4 - 716*h**3 - 10560*h**2 + 3600*h = 0 for h.\nAnswer: -30, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 + -1 - 4) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 less than or equal to 394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/6)\/(-5) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:14 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 10*i**2 + 5*i - 6. Let g be z(11). Suppose 11*v - g = -929. Let y = 73 + v. Calculate the greatest common factor of 36 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2668.829 and 7290.\nAnswer: 4621.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 10*m**7\/7 + m**4\/24 - 23*m**3\/2 - 92*m**2 - 2. What is the second derivative of i(o) wrt o?\nAnswer: 3600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (-50 - (6 + -33)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3585821789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2. Let y(i) = i**2. What is -a(s) - 6*y(s)?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, o: 4, e: 3, k: 1, x: 4}. What is prob of picking 4 j?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2. Let b(k) = -71706*k + 15059. Let g(y) = -1406*y + 296. Let x(l) = -8*b(l) + 407*g(l). What is x(n(o))?\nAnswer: 7030*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*f**3 + 497*f**3 - 212*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 0.3 in decreasing order.\nAnswer: 11, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 1:52 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774.6478 rounded to the nearest 10?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - 1.02. Let u be ((-3)\/2)\/(1\/(-2)). Let p be u\/7 + 0\/(-3). What is the third smallest value in p, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -11 - 9, 0 = o + 2*d - 3. Let z = -0.14 + 0.64. Which is the third smallest value? (a) 0 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f + 4*n + 5, 3*f - 17 = -2*n. Let y(x) be the second derivative of x**3\/6 - x**2 - 7*x. Give y(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*x + 142*x + 2432 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1041739*w - 2083551. Calculate j(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-6\/11))**(-2\/31)\/(d**(-2\/3))**21)**(1\/8) assuming d is positive.\nAnswer: d**(1191\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96*p**4 - 15496*p**3 + 2197258.\nAnswer: -384*p**3 - 46488*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70738757*r**3 + 72670386 wrt r?\nAnswer: 212216271*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0)**12)**(6\/23)*((j*j*j**(1\/3))**24)**35 assuming j is positive.\nAnswer: j**(45152\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 - -69 - (69 - -2)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 9:07 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 30, 47, 70, 99?\n\"Answer: 3*v**2 + 2*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 126.8341 + 19\nAnswer: 145.8341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 2*q + 31, -17 = 9906*a - 9912*a + q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**4 + l**4 + l**4)*(-8654 - 7643 + 13587).\nAnswer: 5420*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 15*j - 9. Let q be (-3)\/((12\/32)\/(j\/(-24))). Let t(c) = c + 1. Calculate t(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6596984551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 plus -6?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**6\/120 + 7*o**5\/20 - o**4\/4 + 17*o**3\/3 - 22*o**2. Let a = 97 + -118. Is p(a) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 5\/81 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgdgggggggggggdg. Give prob of picking 2 d and 2 g.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 135 - 163?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24222 + 24222. Which is the nearest to -10? (a) r (b) -3\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(-3 + sqrt(112)).\nAnswer: -48*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6*(-928)\/(-1856).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -12. Let i = v + 25.2. Let m = i + -4. What is the nearest to -2\/3 in m, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 793 + -731. Let c = 379 + g. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 3*u**2 - u**2 + u**2 + 6*u**2. Let r(a) = 8*a. What is d(r(y))?\nAnswer: 320*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811643?\nAnswer: 7, 47, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2 + 14*j - 7. Let f(i) = 2*i**2 - 3190 - 2*i**2 + 3191 + i**2. What is 6*f(n) + o(n)?\nAnswer: -n**2 + 14*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -79. Let i = q + 32.000104. What is i rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.25\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 38 - 33 = -5*f, -4*f + 49 = -k. What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 - -0.002. Let k = 0.218 - i. What is k rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 20. List the prime factors of i - 1 - -9*5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*w + 2*w. Let l = w - -20. Let c(h) = 0 - 13*h + 0 + l*h. Determine c(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26975, 26976, 26977, 26978, 26979, 26980?\n\"Answer: f + 26974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 6. Let o(a) = -1. Let g(b) = -6*o(b) - x(b). Let j(r) = -9*r**2. Give g(j(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + 14. Let w = 175 - x. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7 + 2)*(24*j**2 + 4*j**2 + 3*j**2) - 1 + 1 + 9*j**2 + (-2*j + j + 0*j)*(-j + j + j) to the form m*j**2 + q + b*j and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 168653 (base 9) in base 12?\nAnswer: 50779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1\/s**(-35)*s**(1\/34)\/((s\/(s\/s**28))\/s) assuming s is positive.\nAnswer: s**(307\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2488680 divided by 62217.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 143 - 143 - 27*o + (0*o + 3*o - o)*(1 + 3 - 2) + o + 0*o + o + 4 - 4 - 2*o - o - 3 + 2*o + 3*o in the form i + w*o and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16261 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*c - 56, 5*c + 19 - 219 = -5*b. Let z = 38 - b. Let w(v) = 3*v**2 + v - 1. Let i be w(1). Solve 2 + 4 = -i*l, 3*l + 12 = -z*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -73*d**7\/42 + d**6\/30 + 2*d**4 + d**2\/2 + 122*d - 2. What is the third derivative of k(l) wrt l?\nAnswer: -4380*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -6 + -5 + 13 + -3 + 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4042 (base 7) in base 14?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -16.7. Let g = -20 + 18.7. Let d = g + v. Which is greater: -2\/13 or d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 18 = -5*j, -2*j - 2 = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -4 (c) 48 (d) 12.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0*k**5 + 35*k + 0*k**3 + 0 + 0*k**2 - 7\/3*k**4 + 5\/6*k**6. What is the third derivative of y(p) wrt p?\nAnswer: 600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1252 and 52897.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 159. Let j(x) = -x**2 - 30. Give k(j(m)).\nAnswer: -m**2 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2 + 498*i + 496 = 0.\nAnswer: -248, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 0*a**4 - 906*a**3 + 3*a**4 + 900*a**3 + (2*a + 0*a + 2*a)*(-8*a**3 - 22*a**2 + 22*a**2).\nAnswer: -29*a**4 - 6*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5133 + -1952. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*m - 40*m + 70*m)*(-3*m - 1 + 1) + m**2 - 3*m**2 + 6*m**2 to t*m + s + n*m**2 and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/5 and 61\/70778.\nAnswer: 353890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04735? (a) 2\/15 (b) 0.4 (c) -2 (d) -49 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154 or -0.0708?\nAnswer: -0.0708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25886, 51758, 77630, 103502?\n\"Answer: 25872*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22.33 - 1.5896174\nAnswer: -23.9196174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3244554396 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1583 in 73, -47, -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1\/(d\/d**(1\/11)) assuming d is positive.\nAnswer: d**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 184, 371, 682, 1117, 1676, 2359, 3166?\n\"Answer: 62*v**2 + v + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 287\/(-82)*(-2 + (-4)\/(-14)). Let l(c) = -4*c**2 + 6*c - 8. Let f(a) = 7*a**2 - 11*a + 15. Let h(o) = 3*f(o) + 5*l(o). Calculate h(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1646 = 126*s - 128*s. List the prime factors of s.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/12))**(-12)*(a**31\/a)\/a**(-22) assuming a is positive.\nAnswer: a**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 10*c + 12. Sort -5, 5, 20, c in ascending order.\nAnswer: -5, c, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6302642 and 2470?\nAnswer: 409671730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/23)\/x**(-1\/9)*x**0*x\/x**(2\/11))**24)**42 assuming x is positive.\nAnswer: x**(214816\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-108)\/240)\/(-1) - 4 and 53\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.6. Let r = -29.54 - 0.46. Let j = 26 + r. What is the closest to -0.1 in -2, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49*(-3 - 1037\/(-357)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*3872\/264.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42*12\/216)\/((-23)\/(-345)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 minus 19.74?\nAnswer: -122.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8792*s - 37678. Give d(4).\nAnswer: -2510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five thirds of a decade?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51607 and 36.1?\nAnswer: 1863012.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 2*m + 1\/3*m**3 - 74 - 49\/4*m**4 + 3*m**2. What is the second derivative of y(s) wrt s?\nAnswer: -294*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -1. Let o = 60689\/3 - 20238. Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 23\/10*s**5 - 138*s**2 + 35\/8*s**4 - 1\/3*s**3 + 0 + 0*s. What is the second derivative of l(a) wrt a?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/4 + 8*d**3\/3 + d**2\/2 - 3*d - 4. Let h be l(-6). What is the highest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -72. Suppose 7*o = t*g + 6*o - 9, 4*g - 4 = 4*o. Let b = -1 - 0. What is the nearest to 0 in b, 2\/17, g?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 550, -33, 0.05 in increasing order.\nAnswer: -33, 0.05, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, p: 1, i: 9, e: 1, x: 2}. What is prob of sequence ixi?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 136*g + 20595. Give z(91).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p + 21. Calculate k(47).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7159 or -7160?\nAnswer: -7159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -411 and 20\/59 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1558 and 190760741?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3273.\nAnswer: 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 140, 187, 234, 281, 328?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01313778072 to five dps.\nAnswer: 0.01314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/115 and 41\/9.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o + 223104 = 222822 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -a + 31, 0 = 3*a + 3*p - 7*p - 87. Suppose 2*n - 4*z = 1 + a, 2*n - z - 14 = 0. Solve -4*w + n = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9222.859 millimeters?\nAnswer: 0.009222859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 14) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(3*sqrt(10)\/sqrt(5) - sqrt(2)))**2*1.\nAnswer: 24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 + 104. Let q(n) = 9*n**2 + 0*n + 50 + 66 - 109 - 9*n - n**c. Calculate q(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ba1 (base 16) in base 6?\nAnswer: 21441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from hahbbvabb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 3\/8, -2, 0.09, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*c = -926, -374 = -v + 3*c - 64. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + (sqrt(880)*-1*3 - sqrt(880))\/(sqrt(45)\/((sqrt(18) + (sqrt(18) - (sqrt(18) + sqrt(162))))\/sqrt(2))))*4.\nAnswer: -11 + 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y. Suppose 22 = 6*p - 2. Solve 5*o = 5*b - 10, 2*b + y = p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3196\/1725 - 42\/23. Which is bigger: -3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7199 - 5066. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j + 0*j + 0*j + 0*j - j - j - j + 4*j - j - j + 4*j - 3*j - 3*j + 4*j + (0 - j + 0)*(2 + 3 - 4) + j - 3*j + 4*j)*(283*j**2 - 728*j**2 - 297*j**2).\nAnswer: -2968*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152 - 37 - 66 + (-2 + 3 + 0)*(5 + 1 - 5))*(0*p + 3*p - p).\nAnswer: 100*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.856652 nanoseconds in seconds?\nAnswer: 0.000000004856652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0\/p)\/(p\/p**4))**39*(p**12\/p**(1\/4))**10 assuming p is positive.\nAnswer: p**(391\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**3 - 9\/2*y**2 - 18 + 12*y. Factor p(c).\nAnswer: -3*(c - 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 111?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 20*k + 2 = 19*k, 6*a - 14 = 5*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 716.7 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 7*m**2 - 2. Suppose -2*p = 5*a + 37, -a + 2*a + 3 = 4*p. Let r be w(a). Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 323 + -209. Let m = 118 - y. Solve f - 17 = 4*q, q = -q - 4*f - m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/60 + 5*l**4\/24 + 4*l**3\/3 + 40*l**2. Determine q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 638085540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13849?\nAnswer: 11, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 8) to base 2\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 4, 0, -3, 5 in descending order.\nAnswer: 5, 4, 0, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 961098913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1188 and 606.3.\nAnswer: 72.02844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2*(-4)\/16*-186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-6\/13))\/(m**5\/m) assuming m is positive.\nAnswer: m**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 3:40 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26350 or -29022?\nAnswer: -26350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 69*h - 189. Let p(s) = s**2 - 14*s + 38. Let d(i) = -11*p(i) - 2*r(i). Let b be d(3). Sort 184, 0, b.\nAnswer: b, 0, 184","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 33*w + 4. Is c(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*j + 0 + 0)*(-2 - 4 + 2) + 0 + 0 + j)*(5*j**2 - 17 + 17 + (j - 2 + 2)*(4*j - 2*j + 4*j)) in the form b*j**3 + t*j**2 + m*j + h and give b.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4151 + 15353 = -351*f + 460 - 19444 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-318)\/(-14) + 50\/175. Suppose -2*y = -j*y + 171885. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = -20*k + 25*k - 3*n + 76, 5*k + 4*n - 253 - 61 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:51 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-23)\/28 - 21\/(-28)). Solve 0 = 5*g + 10, i + 3 = 5*p + 4*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 14 = 4*b - 4*g, -4*g - 4 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.9056cm to millimeters.\nAnswer: 1739.056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 5 (c) 2\/7 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207482\/95 + -2184. Suppose 11*o - 397 = -5897. Let u = o + 501. Which is greater: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2167771283 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x + x**2 + 8*x**2 - 13*x**2 + 3*x**2. Give h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 44. Let l(t) = 7*t - 89. Give -10*k(q) + 4*l(q).\nAnswer: -2*q + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 1\/2*t**3 + 0 + 1\/4*t**5 - 1\/30*t**6 - 10*t + 0*t**2 - 7\/12*t**4. Factor a(q).\nAnswer: -q*(q - 3)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/93, -1\/8, 0.4, -0.023859?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1203*i - 436*i - 416*i + 1979*i + 67570 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-255) - (-1897)\/119?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a - 10 + 9 + 9 with respect to a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -7. Let o = 15 - 11. Let k = o - v. Solve -3*p + 0*p - 15 = k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - (7 + -11)) + -2 + 1. Is m less than -197\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1034000 = 6666000. What is o rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**9\/7560 + i**7\/630 - i**4\/3 + 3*i. Let m(c) be the third derivative of s(c). Find the third derivative of m(u) wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 6, b: 2, v: 4, d: 2, x: 2}. What is prob of sequence dxq?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-480)*-6*(-5 - 2).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 - 0.19. Let j be 4\/10*1 + -1. Let u = 0.41141 - 0.01141. Which is the nearest to 2? (a) j (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 0*d)*(1 - 4 + 1 - d) + (-2*d - 5*d + 5*d)*(2 - 2 - 3)*(-519 - 651*d + 1305*d - 656*d).\nAnswer: -10*d**2 - 3110*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 7 - 37. What is the third derivative of -41*f**l + 135*f - 135*f - 20*f**2 wrt f?\nAnswer: -2460*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 - 1. Suppose y = 2*v - 3, 3*v + 5 - 17 = 3*y. What is the nearest to l in 0, y, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*q + 20*q - q)*(1 - 2 + 0)*(2*q - 5*q + 4*q) as o + x*q**2 + p*q and give x.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/5998020 and 85\/171372.\nAnswer: 5998020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3, 19, 1, -53?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/f)\/f*f**(1\/3)*f**(2\/9)\/((f\/(f*f**(-2)\/f)*f*f)\/f) assuming f is positive.\nAnswer: f**(-103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6292 and 484.\nAnswer: 6292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7536587\/5 or -20?\nAnswer: 7536587\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*w = 25, -3*w + 21 = 2*i - 10. Let b = -17 - -28. Calculate the remainder when -1 + (1\/(-2))\/(i\/(-1204)) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22861 = -577*t - 361*t - 8505 + 25040 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3568 + 2d?\nAnswer: -353b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 a factor of 304259141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5577012\/253277 + (-4)\/206?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**5\/15 + 7*i**4\/24 - 11*i**2\/2 + 6*i. Let q(v) be the first derivative of w(v). Find the second derivative of q(x) wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2335.974 + 2336. Are -0.01 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5933172 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t + 4*d, -5*d = t + t - 10. Suppose -a = -t*a. Suppose 0 = 2*h - a + 10. What is the closest to -1\/4 in -1\/4, h, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 16 - (1 + 5) - -12) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4992128417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-15))\/((-2)\/(-3)))\/((-228)\/12)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.028 + -11. Let k = 0.057 - a. What is k rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 3*q. Give j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*o + 14 = 0, -4*o - 5 - 3 = -4*h. Let g(u) = u - 20. Let r be g(11). Let f be (6\/164)\/(r\/(-12)). Do f and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 672 = -0*b + 4*p, 3*b - 5*p = 502. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*m + 4592 - 66 + 35 = -5189 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 487\/24495 + -2\/345. Let z = -217\/284 + t. Let a = 4417 + -4416.8. What is the second smallest value in -2, z, -5, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1059604 by 37843.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 7, 612\/241.\nAnswer: -5, 612\/241, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -5\/7, 2\/21, 4\/11935?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(612) + 0))**2 + 4.\nAnswer: 9800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669566.36 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2441991 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Let y be ((-12)\/(-6))\/(4\/2). Let o = 5150 + -5146. Put y, c, o in increasing order.\nAnswer: c, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2078372272 to the nearest integer?\nAnswer: 45589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564756847 to the power of 1\/3, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2*x + 10. Let u(p) = -p. Let z(l) = b(l) - 5*u(l). Let t be z(-9). Let s = t - 20. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dssd when four letters picked without replacement from sspsnaaysdads.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 379667.17\nAnswer: -759334.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 355778973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8623862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*h**2 - 13699811*h**3 + 6848*h + 13699810*h**3 - 2*h**2 to the form s*h + w*h**2 + b + v*h**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52788.74 litres?\nAnswer: 52788740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 5*p**2 - 6*p + 1. Suppose 6*s - 2*s + 64 = 4*c, 3*s - c + 42 = 0. Let o = 7 + s. What is l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 10 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - 16\/(32\/(-18)). Let t(j) be the second derivative of 0*j**3 - 12*j + 0*j**g + 0 + 25\/12*j**4. Let b(c) = c**2. What is b(t(r))?\nAnswer: 625*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -a. Let w = 4 - a. Let g(q) = q**3 + 8*q**2 - 21*q - 1. Calculate the lowest common multiple of w and g(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - r = -4*q + 2540, 0 = -3*q + r + 7628. What is the least common multiple of 8 and q?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12295 or 0.209?\nAnswer: -12295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195055 is divided by 17723.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, 3\/5, 11, -12, -197?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - 3.03. Let g = 5.584 + -5.6. Let x = g + -3.984. Sort k, x, -4\/5.\nAnswer: x, k, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10121330032 (base 4) to base 9\nAnswer: 2150114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 10*l**2 + 2*l - 11. Let g be t(10). Suppose 0 = -y + 39 + g. Suppose y = 5*x - 407. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 11, -56, 25 in increasing order.\nAnswer: -56, -4, 3, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6.6. Let v = 1.7 + s. Let d = v - 0.7. Which is the closest to 1? (a) 1 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c\/(c\/(c*(c**(-2\/7)\/c)\/c))*c)\/c*c)\/(c\/(c**(-1\/8)\/c*c*c)))\/(c\/(c**(-4\/7)\/c)*c**(3\/7)) assuming c is positive.\nAnswer: c**(-79\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from dmmmdd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x - 2*y + 2, 0 = x - 3*y + 15. Let b = 40 + -44. What is the nearest to x in 0, b, -0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -1\/3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -179*w**2 - 109.\nAnswer: -358*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98019\/85 + -1153. Let g = 263\/4080 + x. Find the common denominator of g and 121\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4798, 4794, 4788, 4780, 4770, 4758?\n\"Answer: -f**2 - f + 4800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j - 41. Let a(b) = 11*b + 42. Let o(r) = -5*a(r) - 6*f(r). Let m be o(-3). What is the highest common factor of m and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -28*i + 103. Let b(z) = z - 15. Let x(a) = -6*b(a) - c(a). Give x(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 461*k + 459*k = 85, -3*b + 10*k = -51 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*j + 48, -2*k - 4*j = -2*j - 76. Find the common denominator of 79\/2 and 1 + ((-36)\/k)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5028533.\nAnswer: 5028533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2274, -3326, -4376, -5424, -6470, -7514?\nAnswer: -8556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3\/8, 12, 18 in decreasing order.\nAnswer: 18, 12, 3\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + d + 5 = -0*d, 5*k + 2*d = -10. Suppose k = -5*g + 4*v, -v = 4*g - 3*v. Solve g = -4*o - 2*s + 4*s - 22, -2*o = 3*s - 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 26*c**3 - c + c**3 - 3 + 11*c**3 - c**2 to k*c**3 + y + b*c + f*c**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2920557?\nAnswer: 3, 787, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14)*(-28)\/(-100))\/(4\/10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-924)\/(-147) + 4\/(-14). Let v be 16\/7 + p\/(-21). Suppose -v*c - 2 = -106. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 17 = -5. Suppose 3*k = -3*v + 63, -o = 3*v + 4*k - 80. Let h be v - (6 - (2 + 1)). What is the highest common divisor of 26 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2386\/27 or -1\/40?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47562507 and 56208?\nAnswer: 3513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b + 4*b - 2*b)*(-2*b**3 - b**3 + 4*b**3)*(3 + 0 - 16) to m*b**4 + w*b**3 + g*b**2 + z + t*b and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 33 = -5*n, -8*m + 6*m + 17 = 5*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1215)*-2 - sqrt(1215))*3)\/((sqrt(24)\/(sqrt(10)\/sqrt(5)) + sqrt(12))\/sqrt(4)).\nAnswer: -81*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 260. Suppose 0 = -0*t - 5*t + w. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-396)\/3300*(-1540)\/33?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 3, d: 5, b: 2, a: 1}. Give prob of sequence ad.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*v**3 + 1 + (-v + 2*v - 3*v)*(v**2 + 4*v - 4*v) + (-2*v**3 + v**3 + 0*v**3)*(-1 + 0 - 4 - 1 - 3 + 2 + (-2 - 2 + 5)*(-1 + 5 - 2) - 2 + 4 - 4).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 93*z**2 - 128*z - 2763. Give v(-94).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5\/4 + 39*v**4\/4 - 169*v**3\/4 + 129*v**2\/4 = 0.\nAnswer: -43, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (52\/8 + -4)*-56. Let x = 226 + b. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - g**2 - 2*g + 1. Let u be k(-3). Let o = -28 - u. Suppose -4*i + 5*b = -170 - o, -3*i + 146 = -5*b. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npi when three letters picked without replacement from {n: 10, p: 1, i: 1, t: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/5)\/j**8*j\/((j**(-1\/2)*j)\/j)*j**5)**(1\/31) assuming j is positive.\nAnswer: j**(-9\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 758552211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21814, 22397, 22980, 23563, 24146, 24729?\nAnswer: 25312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*f*l**3*w**2 - 4*f*l**2*w**2 + 15*f*w**2 + 14*l*w**2 wrt l.\nAnswer: 330*f*l*w**2 - 8*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -63. What is the first derivative of 10*x + 0*x - 5*x + y*x - 23 wrt x?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129656 (base 10) to base 7.\nAnswer: 1050002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykkkkykdyyakbkyyb. Give prob of picking 1 b and 2 y.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-776)\/(-40) - 2\/5. Let x(z) = 2*z**3 - 38*z**2 + z - 17. Let j be x(f). Find the third derivative of -59*b**2 + 68*b**2 + 2*b - j*b + 35*b**3 wrt b.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8724*f. Let p(i) = 7*i. What is p(n(b))?\nAnswer: 61068*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c**2 + 6*c - 11. Let a be i(-12). Let j be (-6)\/(-9) - a\/15. Let h = -48 - j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 5 = -16*z + 4*c, -2*c = -2*z + 4. Factor 4\/3*i**5 + 0*i + 0 - 4\/3*i**z + 4\/3*i**2 - 4\/3*i**4.\nAnswer: 4*i**2*(i - 1)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23810232, 23810234, 23810234, 23810232, 23810228, 23810222, 23810214?\nAnswer: 23810204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 - -131. Suppose p - 4 + 2 = 0. Solve -p*n + 3*k = -17, -k = 4*n - c*n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/2 - 53*n**2 + 1511*n\/2 - 2142 = 0. What is n?\nAnswer: -119, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, s: 1, g: 5}. Give prob of sequence sn.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/45? (a) 0.1 (b) 3 (c) -4\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2171\/2 or -0.7?\nAnswer: -2171\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 1. Let v(p) = 6*p**2 + 4*p. Let f(b) = -5*v(b) + 5*y(b). Determine d so that f(d) = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -868475, -1736871, -2605193, -3473441, -4341615?\n\"Answer: 37*i**2 - 868507*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20202002 (base 3) to base 15\nAnswer: -16cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001154 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -2, -1, -4, -12 in ascending order.\nAnswer: -12, -4, -2, -1, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 5*a**2 - 6*a + 1. Let z = 303 - 309. Determine q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6666 divided by 6.\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (385 - -118)\/(2\/2) 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 {v: 2, z: 17}. What is prob of picking 4 z?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(55)*-2)\/sqrt(11).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*f - 3*r, 15*f + r = 10*f - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0 + 0 + 0 + 2 + (-5 + 3 + 0)*(-2 + 2 - 1))*(-5 + 5 - 33*j).\nAnswer: -198*j","meta":{"dup_signals":{},"source":"polynomials__expand_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 l(t) = 9*t**2 - 23*t + 97. What is the units digit of l(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4*sqrt(104)*-1)\/((sqrt(800) + 2*sqrt(800) + sqrt(800) - sqrt(800)) + sqrt(800)))**2.\nAnswer: 113\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 246570 (base 15) to base 13\nAnswer: 490302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41.609 and -252?\nAnswer: -10485.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 110002011101?\nAnswer: -110002011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 13. Let o be y(-6). Let d(l) = l**2 - l - 13. Let c(i) = -2*i**2 + i + 27. Let k(s) = -4*c(s) - 9*d(s). Let g be k(o). Are g and -11\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-9)\/12*1). Solve -2*p + 2*c - 12 = 0, 0*p + 2*p + g*c + 6 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 5*k + 6. Suppose -3*a - 14 = 2*j, 14 = -2*j - 2*j + a. Let n be s(j). Factor -h**4 + 4*h**4 - h**3 - 2*h**4 + h - h**n + 0*h.\nAnswer: h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/40)\/(5\/(-4) - -1). What is the second smallest value in 2, 5, 1\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2844, -2901, -2994, -3123, -3288, -3489?\n\"Answer: -18*y**2 - 3*y - 2823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -0*s + 60. Let r be 1\/2 + (-1175951)\/(-2). Let n be s\/14 + r\/(-84). What is n rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 - -145. Let u = z - 262\/3. What is t in 2\/3*t**3 - u*t + 1\/3*t**4 - 1\/3*t**2 + 0 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.6729ml to litres.\nAnswer: 0.0796729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8 = 63. Let j = y + -9. Solve j*w - 4 = -3*c + 11, c - 5 = 5*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 356174, 712379, 1068584, 1424789, 1780994, 2137199?\n\"Answer: 356205*s - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u + 2. Let r = -11 - -9. Let g be x(r). Let d be -3 + (-6)\/(-1) + 0. Solve -s = -0*s + q, d*s = q + g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 = 1. Suppose -3 = g, 4*b - g - 9 = b. Suppose -h**5 + h**3 + 2*h**4 + h**b - t*h**2 - h**2 = 0. Calculate h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -187*h**3 - 3. Let w(k) = -93*k**3 - 1. Give 3*p(y) - 7*w(y).\nAnswer: 90*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 11. What is a(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 - y + 1. Suppose -2*d - 5*d + 7 = 0. Let z be p(d). Factor 4\/11*q + 2\/11*q**4 + z - 4\/11*q**3 - 2\/11*q**2.\nAnswer: 2*q*(q - 2)*(q - 1)*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 5*b + 30, 2378*b = 3*w + 2379*b + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 105, 179, 275, 399, 557?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 4:43 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2225.990367 rounded to the nearest 10?\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2596 and 37\/297714.\nAnswer: 6549708","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 - (1 + (2 - 2)). Suppose 5*w - 5*m - h = 24, -2*w + 4*m = -10. Sort 4, 3, w, 0 in increasing order.\nAnswer: 0, 3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 5) to base 2.\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 6*c**2 + 2*c - 1. Let l be t(-5). Let d(j) = 35*j + 2 - 4*j + l*j + 0*j. What are the prime factors of d(2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -48*o + 650. Calculate the remainder when 119 is divided by t(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*x - 32857 = 30720 + 18701 for x.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + sqrt(1296)*-1)*-6)\/(sqrt(432) + sqrt(432)*1 + -5*sqrt(108) + sqrt(12)) + 2.\nAnswer: -15*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2873*z. Let t(w) = -29327*w**2. What is p(t(a))?\nAnswer: -84256471*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162909260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 448 and 640.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 186*k + 1120. Let f be b(-6). What is the fourth smallest value in 3\/4, f, -1\/3, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 20. Let c = l - 11. Let v = 30 - -17. What is the remainder when v is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1814?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -3 (c) -0.2 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 - 2*d**2 + 6*d**2)*((-1 - 1 + 6)*(-7 + 4 + 1) + 4 - 2 - 1).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-132)*(7\/(-35) + (-47)\/(-10))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4269*a**3 + 8300*a**3 - 4035*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -62?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 8:38 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.72 + 6.179. Let r = -0.5412865 - y. What is r rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 28 = 4*u, -4*s + 60 = -4*u + 20. Let c = s - 12. Solve c*g + 8 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/((-296)\/28) + 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 2 - 1 - -2. Suppose k = 7 - j. Suppose -k*f - f + 815 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -327422042*f**4*r - 1029*f*r - 72*f + 13*r - 3 wrt f.\nAnswer: -3929064504*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001631 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1)*(-1 + 474\/12). Calculate the greatest common factor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2244476 + -5?\nAnswer: -2244481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25808 + -23563. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9721715, 19443430, 29165145, 38886860?\n\"Answer: 9721715*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 25123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3045*n + 1. Let t be a(6). Suppose -w = -3*w - 5*g + 122557, -3*g + 122551 = 2*w. Let f = w - t. Round f to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-2 + 0 - sqrt(72)) + -5 - (sqrt(72) + 1 + -5 + -1 + -1 + sqrt(72)))**2.\nAnswer: -60*sqrt(2) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 34*o + 8. What is u(-16)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1083*b*g**2 - 724*g**2 wrt b.\nAnswer: -1083*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/((-36)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 9:28 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + n + n = 38, -4*n = -2*a + 92. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2337104815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*c - 110*c + 368*c - 119*c to the form x + d*c and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184093982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4079924 divided by 46\nAnswer: 88694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2099538 and 60.\nAnswer: 20995380","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 12. Determine c(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -2*f**3\/3 + 5*f**2\/2 - 3*f - 9. Determine q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44, 38, 12, -46, -148?\n\"Answer: -2*v**3 + 2*v**2 + 2*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 480 = 135. Calculate the highest common factor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5 and -0.067?\nAnswer: -0.1675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 94 in 0.5, -3\/7, -2\/27193?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/13949496 and 11\/9?\nAnswer: 13949496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1736 - -14?\nAnswer: -1722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s + 96. Let f = -14 - s. Suppose -317*a + 4*c = -315*a - 6, a = 5*c - 24. Calculate the least common multiple of a and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -383 and 0.4.\nAnswer: -153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 1338*c + 1341*c - 9 = 0, 3*m + 4 = 5*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(91)*-6)\/(sqrt(42)\/sqrt(6)*5).\nAnswer: -24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9944733 and 171?\nAnswer: 29834199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3665015322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -3*x + w - 3*w, 5*w = -x + 104. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 a when three letters picked without replacement from eeqwujuwwujaj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m - 42520276 + 16379913 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 12*f - 13. Let t be a(-10). Let g(s) = 4*s - 7 - 5 + 3. List the prime factors of g(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 2. Let o be t(-2). Suppose o = 2*y - 14 + 66. Let r(h) = -5*h + 3. Let m(z) = -21*z + 12. Let v(i) = y*r(i) + 6*m(i). Differentiate v(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from dxhdxkhhtkhkktxhhhhl.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -225*b - 69. Let x(t) = -t + 12. Calculate i(y) + 6*x(y).\nAnswer: -231*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78518224 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -35. Let s(l) = -l**2 + l. Let g(j) = j**3 - 10*j**2 + 8*j - 7. Let b(r) = -g(r) + 4*s(r). What are the prime factors of b(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253*u**2 + 228*u.\nAnswer: 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 17*y - 5328. Suppose 15*u = 3*u + y. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76376374 to the power of 1\/2, to the nearest integer?\nAnswer: 8739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 948366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/417, -5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -132, -415, -854, -1449?\n\"Answer: -78*a**2 - 49*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = -4*b, 4*d - 20 = -47*b + 42*b. What is the remainder when d is divided by -3 - -3 - 2\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(30)\/((sqrt(25)*1)\/sqrt(5)))\/((sqrt(150)\/(sqrt(40)\/sqrt(4) + sqrt(10)))\/((sqrt(60) + sqrt(960))\/sqrt(12))).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11056 at most as big as 11054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**3\/6 - g**2 + g. Let q be 3\/(24\/80) - 4. Give m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 76*d. Let w(p) = -7*p. Let z(q) = 2*q**2 + q - 36. Let i be z(6). Suppose -17 = -2*t + 3*t - 3*o, 2*o + i = -t. Determine t*w(r) - 3*s(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2318)\/732)\/((-1)\/2). Put -3, l, -0.3 in ascending order.\nAnswer: -3, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33636844 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43007101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4017 a factor of 265280966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5382*r**5 + 89*r**4 - 208*r**3 - 5*r**2 - 6*r + 1749553 wrt r.\nAnswer: -322920*r**2 + 2136*r - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1998 * -0.5\nAnswer: -999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623 - 1877 + 624 + g + 630.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-1\/3)*g)**(-3\/5) assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652.0919mm to centimeters.\nAnswer: 65.20919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 2*r + 4*r)*(r + 0*r - 3*r) + 0*r**2 + r**2 - 2*r**2 + (0 + 4*r + 0)*(r + r + 2*r) - 3 + 3 - 4*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2648 + -2658. Which is smaller: y or -154\/15?\nAnswer: -154\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963172*s = 963280*s - 5940 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((192\/14)\/1)\/((-7)\/183750). Round r to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145378 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:28 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1847419 rounded to three dps?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let s(n) = -2372*n. Calculate o(s(p)).\nAnswer: 5626384*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70 in 5, -1.6, -4\/3, -0.04, 0?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -346086.7 and -0.123028.\nAnswer: -346086.823028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 266838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 80.26171422.\nAnswer: -86.26171422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 368*c**2 + 4947*c - 32. Calculate b(-13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6 + 9. Let z be 119\/14 + w\/2. Solve b + b + z = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**10)\/(f*f\/f**(-2\/5)*f)*f**(-2\/11)\/(f*f*f*f*f**(2\/7)*f*f) assuming f is positive.\nAnswer: f**(436\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(885\/(-1062))*15\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1496340252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1440 by -15.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - 54. Is 0\/2 + (l - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2247329 is divided by 1315?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**7\/840 + c**6\/90 - c**5\/24 - c**4\/8 + c**3\/6 - 6*c. Let r(a) be the second derivative of q(a). Determine r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 + 167. Suppose -n = n. Sort d, -4, n in increasing order.\nAnswer: -4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8.201058 days?\nAnswer: 708571.4112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468357 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 37*x - 16*x. Is x >= -6\/3631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4, 2*g + 3*g - y = 24. Let r(v) = -v - 6. Let z be r(-8). Solve -4*w - 8 = -l, 11 = -g*w + 3*l - z*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/270 and -23\/4504002.\nAnswer: 202680090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 - (-4 + 34)) + -26 + -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 100 = 0, 0 = 167679*b - 167681*b - 4*j + 80 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 5*b - 79 - 82 + 233.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:59 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3277 + 3277. Let j(w) be the third derivative of 0*w - 5\/12*w**4 + p*w**3 + 0 + 0*w**6 - w**2 - 1\/42*w**7 + 1\/4*w**5. Solve j(i) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291313*w**3 + 6959*w + 19 wrt w?\nAnswer: -1747878*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153540264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwspzw. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2\/4*16\/(-312).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80805 - 44415. Round p to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16547607 - 206.84.\nAnswer: 16547400.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-52)\/(-30))\/(-26)*5)\/((-2)\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4490 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*c. Suppose -3*g = -3*u - g + 14, 12 = c*u - 2*g. Suppose -u*o - 3*f = 2*f - 8639, 0 = o - 3*f - 4336. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 43 in ascending order.\nAnswer: -2, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 173?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15590*t**4 - 12*t**3 - 207506*t wrt t.\nAnswer: 187080*t**2 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217347517*c**3 + 73642964.\nAnswer: -652042551*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 170. Suppose -x*u - 13464 = -36*u. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14851 to the nearest one hundred.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*c + 346786, -5*p - 75*c + 80*c + 346780 = 0. What are the prime factors of p?\nAnswer: 2, 79, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/126 and 59\/182.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(5\/7) - (-113 + 109)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.449591 micrometers?\nAnswer: 0.008449591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*n**2 + 1166445\/4 + 2415\/2*n.\nAnswer: 5*(n + 483)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211 + 29. Let x be 650*(u\/2)\/(-3). What is x rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 8 = -8*o. Let j be (-299)\/(-260) - 3\/o. Let u = 134 - 140. Which is the second smallest value? (a) u (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 = h. Let w be ((-4)\/6)\/(h\/(-6)). Factor 0*t - 2\/5*t**5 + 0 + 8\/5*t**4 - 2*t**3 + 4\/5*t**w.\nAnswer: -2*t**2*(t - 2)*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*n = -2*r + 60, -3*r + 5*n + 60 = 0. Suppose -r*i + 2808 = -14*i. Let s = -180 + i. Calculate the greatest common factor of s and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 10:53 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**2 - 875*h - 1. Let q(o) = 3*o**2 - 4*o. Give n(p) + 2*q(p).\nAnswer: -2*p**2 - 883*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 487273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240181, 240183, 240185, 240187?\nAnswer: 240189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/5)\/((-96)\/60). Put w, 1, -3 in decreasing order.\nAnswer: 1, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -810, -809, -808, -807, -806?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*(-2)\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13226*t**2. Let h(f) = 15*f. Determine h(z(w)).\nAnswer: 198390*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 20862.\nAnswer: -13\/20862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409386554.\nAnswer: 2, 17, 12040781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (8 - 4 - 21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2323079.\nAnswer: 11, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -23, -2\/9, 1.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6)*(15 + (-351)\/26). Let n be 1\/x + 858\/44. Solve n*y = 25*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2862 - -3036. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -683.8854 - 0.1146. Let r = -683.7 - l. Sort -0.5, 0, 3, r in increasing order.\nAnswer: -0.5, 0, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*q**2*y**2 - 40715*q*y**3 + 331318*y**3 - 3*y**2 - 1 wrt q?\nAnswer: 124*q*y**2 - 40715*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -257. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -309, -328, -349, -372, -397?\n\"Answer: -p**2 - 16*p - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -378 + 567. Is v greater than or equal to 189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-148)\/9250)\/(3*2\/(-4)*(-32)\/(-90))?\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/8 + -3\/2. Suppose 0*s - 4*s = 12332. Let q = s + 55577\/18. What is the common denominator of p and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1544*a**3*s - 3*a*s + 15*a + 19313*s wrt a?\nAnswer: -4632*a**2*s - 3*s + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*u + 194*u + 3458 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 680 = -131. Suppose 3*m - o = -0*m. What is the remainder when m is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 266\/16535 or -1?\nAnswer: 266\/16535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20478, -20479, -20480, -20481, -20482?\nAnswer: -20483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(sqrt(119)\/sqrt(7) + -1 + 0 + 4)**2.\nAnswer: -18*sqrt(17) - 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6)*-4)\/((-3)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -519 by -3.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67918915 to the power of 1\/2, to the nearest integer?\nAnswer: 8241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -429188, -859475, -1289762, -1720049?\n\"Answer: -430287*g + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(931) + -3 + -3 - (0 + sqrt(931) + 5 + (sqrt(931) - (sqrt(931) + 1)) + sqrt(931) + -4))**2*-4.\nAnswer: -3788 - 224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 50*r**2 - 38*r - 301. Calculate h(51).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-20)*60\/(-54)*-3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 5, a: 1, v: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 + 2*k + 2. Suppose 0 = -3*o + 4*o + 2. Let u(h) = 10*h**2 + 7*h + 7. Determine o*u(f) + 7*g(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14818*v = 14813*v + 65. Calculate the greatest common divisor of 1157 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 32*i + 1618. Determine g(29).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 - (388\/(-16) + 17). What is the fourth biggest value in l, -2\/3, 0.1, 1.2, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 10*y - 48. Determine f(11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1258*g**2*r - 228*g**2 + 11*g - 28786*r wrt g.\nAnswer: 2516*r - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -858445*x**5 + 1062*x - 10 wrt x?\nAnswer: -17168900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.532 - -1.45. Let i = -0.39 + f. Round i to two decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 3, 0.5, -5, 8, -39?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 2*y - 674115. Suppose -9*p - 698469 = -12*p. Let d = p + y. What is d rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h + 14*h - 79*h + 10*h + 8*h + 13*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2214 and 16\/(15744\/(-17322)) + 17.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5*7\/21*14\/(1274\/(-195)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 - l**2 - 5*l + 780. What are the prime factors of x(0)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2054 and 0.1.\nAnswer: 0.02054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -22. Let t(i) = 2*i**2 - 33 + 2*i - i**2 + i**3 - 6*i + 31. What are the prime factors of t(d)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 7180*l**3 + 2*l + 3615*l**3 + 1589*l**3 + l**2 in the form x*l**2 + n*l**3 + t + a*l and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and 9.9524.\nAnswer: -1.791432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 + -109. Suppose -i*b + 342 = -5*b. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + 123*r + 4. Let w be m(0). What is the nearest to -8 in w, 0.1, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*v + 178*v - 38*v - 167 - 60*v - 72*v as w*v + u and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 5. Let r(x) be the first derivative of 3*x**2 - 15*x + 84. Calculate -4*r(t) + 11*y(t).\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -15*b + 3. Let p(l) = 4*l - 1. Let u = -417 + 426. What is u*p(z) + 2*s(z)?\nAnswer: 6*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/8 (b) 1\/5 (c) 1.1154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.083 and 4.865?\nAnswer: 0.403795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 - 2*v**2 + 406 - 4*v**4 - 409 + 4*v - 3*v as i*v**2 + z*v + t + n*v**4 + l*v**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30193638 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: What is 491 minutes before 5:27 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192 (base 14) to base 13.\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y - 30. Find the third derivative of 3*v**6 - 15*v**6 + 5*v**2 + v**6 + 2*v**y wrt v.\nAnswer: -1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1330741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2 = -4*j, 0 = -2*u - 3*u - 5*j + 25. Let l(i) = 4*i - 2 + 2*i**3 - 3*i**2 - i - i. Let r be l(u). What is the greatest common factor of r and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.480506 millennia in months?\nAnswer: 77766.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*m + 23599997, 23599995 = m - 5*m - 5*s. What is m rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1955 = 47*p - 1297 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 1090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007390412 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54224815 to 2 decimal places.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49316112 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1222 and 658?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12211120 (base 4) to base 10\nAnswer: -26968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378681*g + 24*g**2 - 378681*g + 34*g**2 + 3*g**2.\nAnswer: 61*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 60237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**7\/42 - k**6\/3 + k**5\/12 + 5*k**4\/3 - 31*k**2. Factor y(a).\nAnswer: -5*a*(a - 1)*(a + 1)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - n**2 - n - 1. Let t(y) = -3877*y**3 - 2*y**2 + 1194*y - 2. Let w(d) = 2*a(d) - t(d). Find the second derivative of w(s) wrt s.\nAnswer: 23250*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 731*z**3 - 30*z**2 - 41124?\nAnswer: 2193*z**2 - 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 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: Suppose z**5\/6 + 6*z**4 - 1627*z**3\/6 + 1835*z**2 + 4800*z = 0. Calculate z.\nAnswer: -64, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-20)*i)\/i**(-1\/12))**(-1\/3) assuming i is positive.\nAnswer: i**(227\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 3*a**2 - 2*a**4 + (6*a**2 - 6*a**2 + 3*a**3)*(-1 - a + 0*a - 6*a).\nAnswer: -23*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + c - 1. Let g(i) = -74*i**5 + 2*i**3 + 11*i - 2. Let y(d) = -g(d) + 2*r(d). Find the second derivative of y(j) wrt j.\nAnswer: 1480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -4 + (-15 - 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 1, v: 1, s: 6, p: 3}. What is prob of sequence vpp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(3\/7) assuming y is positive.\nAnswer: y**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2153 + 2155 + 22*y + 45*y + 114*y + 126*y.\nAnswer: 307*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-15)*16\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-17)\/q**(-3\/10) assuming q is positive.\nAnswer: q**(-167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*c**3 + 50*c - 1 - 98*c - 2*c**4 + 46*c - 10*c**2 to the form b*c**4 + h + m*c**3 + y*c + o*c**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 7, z: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/5 and -6\/109.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-6))\/((-9)\/(-24)). Suppose 0 = 4*j + 5*z - 46, 23 = j - p*z + 1. Calculate the greatest common divisor of j and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.59279044 to 3 dps.\nAnswer: -1.593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3780 times 0.4?\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(3 - (-235)\/(-80)). Suppose 2*z + 4 = 2*g, 8*z - a = -4*g + 4*z. Let s(j) = 4*j - 3. Determine s(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)*1 - 0. Let j be (-1)\/(0 - q*3). Let u be 7\/(-3) + (-1 - -3). What is the nearest to j in 2\/13, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 73, 1, 3, 4, -3 in increasing order.\nAnswer: -4, -3, 1, 3, 4, 12, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 156.6562 days?\nAnswer: 3759.7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (90 - 71 - (10 - 1)) - (-33 - 82)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1466, -1487, -1508, -1529?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16112 - 16112.000036612. Round f to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/9)\/(56\/(-28))*30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 0*z + z + 2 + 0. Let g be a(0). Solve -g*j - 3*t - 17 = 0, t + 0*t = -2*j - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2698196 minus 10.196?\nAnswer: -2698206.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in 90, -1\/5, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + q = -505, 93 + 218 = 3*f + q. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -34, -2\/3, -0.4, -29, 0.4 in decreasing order.\nAnswer: 3, 0.4, -0.4, -2\/3, -29, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 14*q**2\/11 + 208*q + 3256.\nAnswer: -2*(q - 37)*(q + 22)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsstthbhataththhhtg. Give prob of sequence htbh.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*w**5 - 9 + 3504*w**2 - 3504*w**2 + (2*w**4 + 2*w**2 - 2*w**2)*(-1 + w + 1) + w**5 + w**5 - w**5.\nAnswer: -37*w**5 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -29551?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -16*s**4 + 51656*s**3 - 41911809*s**2 + 353456180*s - 749116900 = 0.\nAnswer: 17\/4, 1610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*x = -2426 - 1058, 3*d - 2615 = 5*x. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/(-20))\/2*1*-15 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 2*w + 4 - 3*w. Calculate the remainder when b(6) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-8 + 46\/6)*(-1332)\/(-37)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4532, -9064, -13596, -18128?\nAnswer: -22660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.24 times -4807\nAnswer: 34802.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*j + 7, 2*r - 2*j + 30 = -r. Let a = -48 + 26. Let u = r - a. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52122 + 260?\nAnswer: 52382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -12*b**4 - 1256*b**3 + 1692*b**2 - 424*b = 0.\nAnswer: -106, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1454790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*d - 43*d - 85*d - 63*d - 29*d.\nAnswer: -99*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3 - 19. What is the least common multiple of 3 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 84968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/30 - 725*k**4\/3 + 2102500*k**3\/3 + 177*k**2 + 3. Factor q(i).\nAnswer: 2*(i - 1450)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 21 + 8 + 16. Let o(y) be the first derivative of -7*y**2 - 8*y - 2. Let n(t) = -4*o(t) - 11*s(t). Let i(f) = f - 1. Determine -5*i(b) + 6*n(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316 = -7*a + 1351 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483061423?\nAnswer: 53, 127, 220333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13\/12 (b) -1\/6 (c) 0.2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236001 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167295 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153200088749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-4)\/24*-30\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28314 and 90.\nAnswer: 141570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 571 - 571. What is the closest to l in -1, -1\/4, 0.4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from {f: 5, x: 1, e: 1, n: 5}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147*f - 11515 = -1476*f for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0407 - 68.\nAnswer: -68.0407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 8*c\/9 - 8\/3.\nAnswer: 2*(c - 6)*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1462*-21564\nAnswer: -3152.6568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12214384?\nAnswer: 2, 7, 13, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335291, 335290, 335289?\nAnswer: 335288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 9:26 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18, 1\/3, -3\/4, -2\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -43.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 6:09 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -1\/4, -0.08, 12, 1\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39362\/7 - 20074361\/3570. Find the common denominator of 45 and c.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 4. Let s be h(3). Suppose 6 = -2*w, -s*w = 5*q - 57 + 13. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 + 106 - 115 = -17*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 53*q**2. Let f(o) = -o + 1. Let b(y) = 4*y - 2. Let v(h) = -b(h) - 2*f(h). Calculate w(v(j)).\nAnswer: 212*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 387 = -3*t, 566 - 71 = -4*y - 3*t. Let d = y - -214. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/7 - 533*o**2\/7 + o\/7 + 533\/7 = 0. Calculate o.\nAnswer: -533, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8542.7 - -8543.51066. Let h = 0.81 - x. Round h to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -73601 (b) 0 (c) -3 (d) -4\/5 (e) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 998171 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = q, -t - 15 = -3*q - 2*t. Suppose 0 = -q*b + 8*b. Solve b = -2*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {i: 1, m: 1, v: 2, f: 1, b: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4122.1657007 - -270.\nAnswer: -3852.1657007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.1 and -663?\nAnswer: 13326.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 11*l**2 + 8*l - 12. Let h be b(-10). Calculate the greatest common divisor of h and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 12. List the prime factors of 6 - w\/(-12)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2270 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 64, 143, 254?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-5)*5 - (-2 + -10 + 7). Solve -z*s + 30 = -15*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(-1*sqrt(275)))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 2*r - 176. Let l = r + 53. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71\/3 + 1\/6. What is the common denominator of 984\/(-704) - 2\/(-16) and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 4, -5*n + 17 = 113*a - 116*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 130123000 (base 4) to base 13\nAnswer: 40cb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553587 is divided by 272.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9033, 37241, 84253, 150069?\nAnswer: 234689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 4. Let v be l(0). Let n be (38\/(-42))\/(-1) + -1. Which is the smallest value? (a) v (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t + 8. What is the remainder when 0 + (5 - 2) + 51 is divided by (-220)\/(-12) - t\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-16)\/z)**(16\/7)*(z**(-27)*z)\/z*(z**(8\/11)\/z)\/z)**48 assuming z is positive.\nAnswer: z**(-248112\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 + 101. Suppose -19*a + u*a = -15. Solve o + 0 + a = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**20*c)\/c)\/c**(3\/10) assuming c is positive.\nAnswer: c**(197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4 + 2. Suppose 2*r = -s*r + 112. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1*1\/3). Suppose -14 = 2*h + 3*h - j*d, -12 = -4*d. Let b = 0.2 + 0. What is the closest to h in b, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1111 + -1107. Let j(v) = -4*v**2 - v + 4. Let h(k) = 9*k**2 + 3*k - 8. Let w(g) = 3*h(g) + 7*j(g). Calculate w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.99 - -1. Let l = 64 - 61. What is the closest to 0 in l, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (0 - 3)*1. Let k be (-354)\/z - (-2)\/(-4). What is the greatest common factor of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0389277618 to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95 + 2?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -58517.632 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4750895723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*i - 2852 = 46*i + 3790. Let r(k) = -6*k + 109. Calculate r(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 9) in base 2?\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 0*x**5 - x**5 + (-2*x**2 + 0 + 0)*(-18*x**3 + 81 - 81).\nAnswer: 33*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 22*d - 275. Calculate the remainder when 162 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 85597*a**4*t**2 + 2*a**2*t**2 + 261*t**2 + 74*t wrt a?\nAnswer: 342388*a**3*t**2 + 4*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46836 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.341 and 9?\nAnswer: -3.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -121*b**4\/2 + 385*b**3 - 1357*b**2\/2 + 210*b - 18 = 0.\nAnswer: 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 - (-4 + 4) - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1957 is divided by 9 - (120\/75)\/((-2)\/55).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 232 + -33e8e?\nAnswer: -33c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 <= -101\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 - 6. Let n be (-4)\/(-12) + (-48)\/9. Determine r(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 2, c: 1}. What is prob of picking 1 u and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 + 203. Solve -6*n + 3*n = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.642.\nAnswer: 0.1284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -472 + 472. Suppose -62*r + 57*r - 4*f = -45, -4*f + 20 = b. Let h be (0 - -1) + -1 + 1. Solve 2*d - r - h = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3310*o + 426 - 1606 = -3192*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 + 134 + 41)*(-3*j + j + 5*j) + (2 + 1 - 4)*(3*j - 2*j + 0*j) + j + 0*j - 3*j to the form l*j + p and give l.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 34. Suppose 2*z + 39 = i + 1, -2*i = 4*z - 100. Suppose 0*j + i = 2*j. What is the least common multiple of j and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - u + 7, -3*u + 7 = 2*f - 7. What is the third smallest value in 2\/53, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 - 1 = 0. Suppose 5*t + 9 = -n. Let q(m) = m**3 - 2*m**2 + 3. Let l(c) = -c**3 + c**2 - 1. What is t*l(r) - q(r)?\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7746168 is divided by 1036.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 10:23 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 4*a**2 - 5*a + 6. Suppose 9 = 4*b + 1. Let k = 278 - 273. Suppose 4*m + 1 + 9 = -b*g, -3*g + 40 = -k*m. Calculate w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -913*m**2*n*u + 6*m**2*n + 30*m*n - 2*m - 2*n*u - 10*n + u wrt m.\nAnswer: -1826*n*u + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 21*s**2 - s + 27. Suppose -260 = -5*r + r. Suppose k + 2*u - 11 = 0, -4*k + r = 3*u + 6. What is the remainder when g(-21) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -189*r. Let s(p) = 2*p**2 - 285*p. What is x(s(t))?\nAnswer: -378*t**2 + 53865*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2012 + 23220?\nAnswer: 21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*h + 280 = 0, -5*u + 3*h + 320 = 2*h. Let o = -354893 - -354913. What is the highest common divisor of o and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11467224 and 159267?\nAnswer: 11467224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12112 (base 3) in base 5?\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 255*q**2 - 411*q - 5207. What is the tens digit of m(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = -5*x, 3 = -x + 2*c - 1. Let v be x\/(-2) - (-9 + 39). Is ((-740)\/v)\/((-2)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 351*h + 807. Let w be j(-2). Solve 49*y - w = 64*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152 + 125. List the prime factors of 36\/i*(-63)\/2.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 2*s + 0*s + 57.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8859002 to the nearest ten thousand.\nAnswer: -8860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/95*(4250\/204)\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6684 times 119.3?\nAnswer: 797401.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 12*q**3 - 2*q + 2. Let n be a(-2). Let u = n - -41. Let p = u + 182. Is 25 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3090737\/62 + 49849. Find the common denominator of (13\/(-5))\/(88\/(-60)) and z.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l**2 - 57*l**4 + 15*l**4 + 15*l**4 + 25*l**4 - 5*l**3 - 10 to the form i + v*l**4 + c*l + t*l**3 + y*l**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j + 563 + 23*j + 446)*((-3*j + 2*j + 3*j)*(3 - 3 + 1) + j + 4 - 4 + (j + 0*j + 0*j)*(-1 + 2 - 3)).\nAnswer: -j**2 + 1009*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:31 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 931*w**2 + 1857*w**2 - 12 + 10*w - w - 933*w**2. What is b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5590 - -5811. Let o(b) = 2*b**2 + 10*b - 3. What is the remainder when v is divided by o(-8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1)*((-10)\/(-20))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*s + 16*s + 44*s + 46*s - 172*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 25 = 8 - 7, 2*g - 16 = -4*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 917 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -243632 - 4140?\nAnswer: -251102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + -0.033. Round k to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 174784.\nAnswer: 3\/174784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9989, -9984, -9981, -9980?\nAnswer: -9981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mviim. What is prob of picking 2 m and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*n - 6 = 0, 656*b = 665*b + 5*n + 42 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022519 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*f + 4. Let u(h) = 13 + 7 - 28 + 40*h - f*h**2 - 83. Let m(z) = -z**2 + 10*z - 23. Let p(i) = 18*m(i) - 4*u(i). Let p(x) = 0. What is x?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*i - 5 = 476*i + p, -2*i = 5*p + 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcvc. Give prob of sequence cc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + 2*a + 2. Let i(x) = -16*x**2 + 11*x + 11. Let p(k) = -11*c(k) + 2*i(k). Let h(l) = -12 - 3*l + 12 + 0. Give h(p(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11458 and 56678?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46, -98, -0.2?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17189151025 + 7.\nAnswer: -17189151018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 b when four letters picked without replacement from {w: 9, o: 6, b: 4}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10)*464\/8. Let o = 62\/5 + y. Suppose d = 4*k + k + 28, 2*k + 4*d = 2. Which is the nearest to -1\/5? (a) o (b) 1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + 74. What is the highest common divisor of 99 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -0.3\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8940?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-10))\/(((-28)\/10)\/7) - -2. Factor 0 - p*j + 3\/2*j**3 + 0*j**2.\nAnswer: 3*j*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/472675 and 41\/175?\nAnswer: 472675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6566 + 76341682.\nAnswer: 76341681.3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*w + 328, 2*a + 2*w - 136 + 8 = 0. Suppose 5*k - 15 = -a. Let v = k - -15. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/5301738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w. Let i be 6\/(5 + 13\/(-2)) + 348\/29. Solve 5*l - i - 7 = w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48\/47 + -6433\/282. What is the common denominator of 651\/(-70) + 9 + -8 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + 4*b = -337, 4082*m + b - 1 = 4084*m + 46 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6980 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 next in -12010, -11466, -10610, -9436, -7938, -6110, -3946?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*52\/(-7 - -3) + 2. Suppose -630 = h*j - 6*j. Round j to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**6\/3 + 3*b**5\/20 - 29*b**4\/6 + b + 43. Find the third derivative of j(l) wrt l.\nAnswer: -240*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1) + 72\/(-36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 32 (c) 2 (d) -4 (e) -7\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 4375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 603, 2586, 6009, 10968, 17559, 25878, 36021?\n\"Answer: 16*u**3 + 624*u**2 - u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*t - 4159 = 945. Solve t*u + 101 = 189 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boybnsbsosss. What is prob of sequence bs?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708 = 248*j - 8212 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 112\/(-32)*(-1 + -18 + 3). Suppose 2*n - 3*n = -4*b - 166, -b - 34 = -4*n. Let r = b + g. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -1\/96*u**4 - 1\/16*u**3 - 10*u - 39 - 1\/8*u**2. Let v(k) be the first derivative of f(k). Factor v(p).\nAnswer: -(p + 1)*(p + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 52*y**2 + 22*y + 218. What is g(52)?\nAnswer: 1362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60886133 and 3535.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g**2 - 9*g + 1102. Determine t(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*y**4 - c**3*y**2 + 118*c**3*y - 115*c*y**2 - 283855837*y**6 - 3*y**2 - 85 wrt y.\nAnswer: 48*c**3*y - 34062700440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55090 rounded to the nearest 1000?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 8*x**2 + 9*x + 2. Let f be r(-9). Suppose f*b - 2 + 0 = 0, -b - 44 = 5*l. Let u(q) = -q**2 - 13*q + 1. Does 8 divide u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76752419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 17*p**2 - 16*p - 20. Let a = 24 - 41. What is the tens digit of i(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 (base 10) in base 3?\nAnswer: -20011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 4*k + 5. Let n be z(-4). Let h = n + 3. What is the remainder when 15 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 6*m + 8. Let a(t) = -26 - 4 - 1 + 1355*t + t**2 - 1356*t. What is the remainder when a(-10) is divided by c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45752 and 1938.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13358 + -13358.84. What is the closest to 2\/3 in -0.5, 2\/3, -4, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3084 is divided by 2854.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 550*w**2 - 9576*w - 14. Give r(532).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/63)\/(((-10)\/(-12))\/(((-3927)\/(-170))\/77))\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1746 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -3)*-8*6\/(-96). Suppose -u + 58 = 5*f + 11, 211 = d*u + f. What is the lowest common multiple of u and 3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**3 - b**2 + 3*b**3 + b**3 - 2*b**3 as j + f*b**3 + z*b**2 + m*b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*t + 63, 4*t - 189*n + 186*n - 147 = 0. Calculate the remainder when 1673 is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = p - 6, x = p + 1111 - 1105 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0 + (99 - 86 + 191)*(5 - 1 + 2))*(b**2 + b**2 - b**2) to x*b + o*b**2 + m and give o.\nAnswer: 1223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3424 rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 - 50. Calculate the highest common factor of 20 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2536*-3.\nAnswer: -0.7608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26605\/37 - -719. Let l = 3.6 + -3.7. Which is greater: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 193371*w. Let q(o) = -7*o. Give q(u(y)).\nAnswer: -1353597*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {o: 4, a: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 29 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/2105 and 3\/55.\nAnswer: 23155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2401*a**5\/6 - 45619*a**4\/2 - 1279831*a**3\/3 - 2484405*a**2 + 5048325*a\/2 + 820125\/2 = 0.\nAnswer: -135\/7, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4265552 and 2088.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 2230*z + 104563. What is v(46)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1218\/203*(1\/(-10))\/(-1))\/((-55)\/(-3300))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -4 + -1 - (-77770)\/(-404)*(-8)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -8. Let d be ((-3)\/(-6))\/(1\/20*1\/1). Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 5*x**6\/6 + 3*x**5 + 5*x**4\/2 - 10*x**3\/3 - 15*x**2\/2 - 5*x + 62. Determine a, given that q(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + 1 + (0 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let r = -0.037568 + 0.097568. Sort r, p, -13 in ascending order.\nAnswer: -13, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = l + 4*v, -99 = 2*l - 111158*v + 111161*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 5*f - 2. Let j be s(-6). Suppose -j*b = -3*b + 1. Let z = -49\/295 + -2\/59. What is the nearest to b in 4, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 + j**2 - 2*j - 4. Let d be f(-1). Sort d, -1, -7 in decreasing order.\nAnswer: d, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 43*v - 19. Determine i(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 588 + 7002 = 0. Is 8 a factor of 3 + c + -6*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 3\/2, 2\/9, 26?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/60459 and 67\/3780?\nAnswer: 10882620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.7 + 11.5. Let z(p) = -p**3 - 5*p**2 - 4*p + 1. Let x be z(-4). What is the second biggest value in x, -1\/12, i?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a8 (base 11) to base 14.\nAnswer: 1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 68, 3.\nAnswer: -4, 1, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*c - 7, -v + 3*v + 14 = -4*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 + 8*p**3 - 21*p**2.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 64*a**2 - a + 2. Let q be g(1). What is the highest common factor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/2 (b) 2\/23 (c) -1 (d) 0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = q, 3*u - 4*q + 18 = -q. Let j(i) = i**2 + 5*i + 4. Let y be j(-4). Let k be 0 + -2 + y + 1. Which is the closest to k? (a) u (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 18. Let g(h) = -h**2 + 2*h + 4. Let z be g(4). Sort o, z, 2\/7.\nAnswer: z, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 2 + (-8)\/5 + 236\/10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49114*b**3 - 14611 wrt b?\nAnswer: 147342*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {h: 2, v: 8, m: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 2076b37?\nAnswer: -2076b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:38 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 7*q**2 - 24*q - 7*q + q**3 + 0*q to the form z*q + w*q**3 + b + s*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 113427246 to the power of 1\/2, to the nearest integer?\nAnswer: 10650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**2 + 7*w - 12. Let a be f(4). What is the greatest common divisor of a and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:23 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/8 - 3341361*m\/8.\nAnswer: -m*(m + 3341361)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 797.41 less than -122.7953?\nAnswer: -920.2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8263, 8266, 8271, 8278, 8287, 8298?\nAnswer: 8311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 + 327566*o**2 + 2*o**3 - 327566*o**2.\nAnswer: 2*o**3 + 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*r**2 + b**2*r**2 - 152*b**2*r + 16*b*r - 5*r**2 - 1 wrt b.\nAnswer: 12*b*r**2 + 2*r**2 - 304*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*(-20)\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/(-741)*(-1)\/(-2).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 4\/3 (c) 0 (d) 2\/11 (e) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346 (base 13) in base 2?\nAnswer: 101011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.519 + -0.019. Let m = 22.387 - j. What is m rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 + 10*s + 16. Let z(g) = -g**2 - g + 1. Let b(u) = -d(u) - 3*z(u). Is 12 a factor of b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47172 divided by 11793.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 4*t + 4. Let w be a(4). Let j be w\/32 + 0\/(-1). Let h = 28 + -28. What is the nearest to h in j, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20196*y**2. Let j(o) = 178*o**2. What is b(j(v))?\nAnswer: -639890064*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314*j - 286*j + 632*j to the form v + p*j and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.18220481+-42486.6\nAnswer: -42484.41779519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - -81. Suppose 112 = 8*w - q. What is the remainder when w is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 - 14*o - 24. What is h(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 3*n. Let z be x(-2). Let y = 13 + -12. Suppose 3 = -z*a + y. Is a at most -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2321, 4650, 6981, 9314, 11649, 13986, 16325?\nAnswer: 18666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/28)\/(((-21)\/(-24))\/(29 - 4964\/170)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18966157*n**3 - n**2 + 3*n + 342706952.\nAnswer: -56898471*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 163919 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 787 + 296 + 359 as p + h*x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p + 1. Let m(v) = 1. Let y(h) = 38*h**2 + 1253*h - 29. Let w be y(-33). Let k(t) = -t + 4. Determine p*k(i) + w*m(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(14\/(-4) + 2). Find the third derivative of -p**2 + 0*p**3 + 3*p**m + 0*p**2 + 0*p**3 wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 785295\/(-23268)*(-6)\/(-81)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 544000 = -4*r + 2*r, 0 = 5*r. Suppose 40*y - 41*y = g. What is y rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-54)\/(-72) - ((-890)\/8 + -2). Let y = 109 - z. Sort -11, 1, 1\/5, y.\nAnswer: -11, y, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44 (b) 0.15 (c) 425 (d) 23.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1321 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0 + -1)*23\/276*12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*m = 35 - 28, 7 = -3*n + 2*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 2*c - c to the form p*c + o and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*g + 48*g + 31166 + 282*g**2 - 31166 in the form i*g + p*g**2 + z and give p.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 86 = -l, 0 = -4*l - 3*w - 2*w + 239. Suppose -2*x + l = -148. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1847*d + 420 = -1832*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (204\/(-16))\/(1\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*1*4 + 3 + sqrt(1008) + -2 + (5 + (sqrt(1008)*-1 - sqrt(1008))**2)*-6*6.\nAnswer: -145331 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 109762080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 + 4*u**4\/3 - 7*u**3\/3 + 53*u**2\/2 - 733*u. Give w(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 10*k + 4. Let f be g(10). Solve -f*q - 3*z + 20 = -6*q, z - 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:29 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103625 = -9*p + 63622. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 369493?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.61 + 0.01. Let i = 0.4 - q. Suppose 0*h + 5*h = 5. What is the closest to 0.1 in 5, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -27*l + 7. What is the remainder when x(-6) is divided by 5*1698\/450 + 10\/75?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p = 17397 + 24833. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18000 = -59*b + 311*b - 12*b for b.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and 0.3389.\nAnswer: 12.8782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 649071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1842 and (0 + (-14)\/28)*-36.\nAnswer: 5526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379 is divided by 136.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 12 = -0*u + 4*u, -2*u = 4*s. Sort s, -1, -3 in decreasing order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/(-35))\/(-6)*735\/336?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 169319200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:32 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 3. Let p(c) be the second derivative of -c**4\/8 + c**2\/2 - 40*c. Let t(s) be the first derivative of p(s). Calculate t(j(n)).\nAnswer: -6*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 2*k - 6. Let b be t(-2). Solve b = j + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3645638 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151431145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337277 is divided by 2477.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + t - 10 = -p, -4*p = 5*t - 2. Suppose -5*y - 5*i + 40 = 0, 7*y - i = 3*y + 12. Sort 20, p, y.\nAnswer: p, y, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-56) + (-3)\/(-21))\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -156 - -106703?\nAnswer: 106536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 3*m - 2*m)*(-4*m + 2*m + 4*m) + 1 + 2*m**2 - 1 + 585*m - 585*m - 34*m**2 + m**2 - 3*m**2 - m**2.\nAnswer: -31*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58.5 - -0.5. Let d = -59.3 + h. Let w = 3\/49 + 141\/98. Put w, -2\/3, d in ascending order.\nAnswer: -2\/3, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 16, 15, 6, -11?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:41 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 5.88. Let i = 4 - 9.12. Let f = i + j. Which is the biggest value? (a) f (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -361*c**2 - 1370*c + 3022080 wrt c?\nAnswer: -722*c - 1370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 212202?\nAnswer: -212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 0*r - 3*r - 4 = 0, -5*r + 12 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 3 + 33. Solve -2*d - m*j - 2 = 0, 0*d + 5*j + 26 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 420\/8 - 2\/(-4). Let o be (-5)\/(-10) - t\/(-2). Calculate the greatest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34163776.\nAnswer: 2, 533809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o - 38. Let h be r(-10). What is the greatest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d - 407*d**2 + 206*d**2 - 68 + 203*d**2 as f + n*d**2 + i*d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101093396 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81*l**3*p**2*u**2 + 4*l**3*u**2 - 26*u**2 wrt p?\nAnswer: -162*l**3*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88 and 0.2?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - g = -33, 0 = 21*y - 17*y - 3*g + 4*g - 29 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Suppose -o + 0*i = -l*i, 4*o - 2*i = 6. Suppose 2*n = v - 87, 0 = -4*v - n + o*n + 355. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -4*b + 8. Let h be 2\/8 + ((-7)\/b)\/(-7). What is the smallest value in 2\/5, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 2}. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5888\/353280)\/(1*(-1)\/(-14))*12?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-2 + 0)) + (45 - 43). Solve 2*j + g*c + 2 = j, 2*j - 1 = -c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -9874?\nAnswer: -19748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 106*i**2 + 51*i + 221. What is the remainder when l(53) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (944\/354)\/(8\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 16*k + 64. Let g be u(10). Solve 1 = -4*l - a - 12, g*l + 5*a + 17 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8123799619\/28486607226 - 858306\/329729. Let u = y - -15\/2057. Let c = 12071\/9 + -1339. Calculate the common denominator of c and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 3*m + 16*c - 1, 32 = -4*m + 4*c. Let l be (39\/(-18) + (-1)\/(-2))*m. Solve -l*k = 3*z - 4, -2*k = 4*z + 2*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -102*x - 1104. What is the units digit of v(-29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 5. Let h be i(-5). Suppose -14 = f - h*f. Is 4\/f - 1875\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcwwwccwccww. Give prob of picking 2 c.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4158, 8318, 12478, 16638, 20798?\nAnswer: 24958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.011736um to centimeters.\nAnswer: 0.0007011736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 14. Let w(v) = 6*v - 1. Let y(u) = 6*u - 1. Let l(g) = -3*w(g) + 2*y(g). What is l(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52511624 is divided by 26255797.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**4 - 825*v**2 - 45*v**6 + 188*v**6 + 2*v**4 - 90*v**6 - 7*v**4 wrt v?\nAnswer: 6360*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 13, i: 3}. What is prob of picking 1 i and 3 u?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.39, -0.002, -4, 2\/5, -1738 in increasing order.\nAnswer: -1738, -4, -0.002, 2\/5, 1.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 60*g - 3. Let x(n) = 137438*n**2. Give t(x(i)).\nAnswer: 8246280*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46061 + -0.46. Round l to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -228. Let s = -1126.92 + 1127. Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 97*o**2 + 174*o + 137. Let t be l(-34). Which is the closest to t? (a) -37 (b) 1\/6 (c) 82 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 17 - 32 - -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-2)\/4 - (-38 - -14). Let 1057 + 1515 - 115*k - y*k + 20 + 2*k**2 = 0. What is k?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 21?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 r, and 1 g when four letters picked without replacement from rrlgl?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.8 (c) 2 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -339*n + 26. Let u be q(-14). Let g be (u\/12 + -1)*(-6)\/(-5). Suppose g = 7*j - 7. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from {w: 7, m: 7, x: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = -3*s - 9*t, 0 = -5*t. What is the hundreds digit of (-608)\/(-6) - (-1)\/(6\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1026 and 53?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33480, -27329, -21180, -15033?\nAnswer: -8888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -92*(-333)\/(-777)*(-35)\/(-60)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 314569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 18*w - 1. Let d = 3 - 1. Let b = -1 + d. What are the prime factors of n(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + -120?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:39 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224387 is divided by 2207?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6880 + 14000. Suppose 8*p - q - 4632 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 34*c - 15*c - 6*c + (6*c**2 + 2*c**2 + 0*c**2)*(-2*c + 2*c - c) + 0*c**3 + 2*c**3 + 0*c**3 to the form f + a*c**2 + t*c**3 + v*c and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 189 divided by 189\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36b (base 13) to base 11.\nAnswer: 4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -972?\nAnswer: -972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 8*p + 3. Let h be g(-8). Let o(s) = -5*s - 4. Let l(f) = 35*f + 2. Let z(n) = -32*n - 8. Let q(d) = 2*l(d) + 3*z(d). What is h*q(t) - 16*o(t)?\nAnswer: 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 2 = 20*q + 7*n, -4*q = -n + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20341222 (base 6) to base 5.\nAnswer: -122314221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1729285562*v**3 - 1729285523*v**3 + 3458571048*v**3.\nAnswer: -37*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174 + 224. Calculate the remainder when a is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*y + (0*y + 3*y - y)*(-4 - 1 + 4) - 54 - 14*y + 54.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19731 + 19755. Solve -m*s - 313 + 169 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w + 9 = 0. Let b(j) = -1 + 3*j**2 + 3 + j - 2*j**2. Let t be b(w). What is the greatest common factor of 56 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44708303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {d: 3, n: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zffzqqhhhhhh. What is prob of picking 2 h?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2333 - 2309 = 4*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 7:00 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -627*w + 360*w - 36 + 325*w. List the prime factors of i(10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o. Let v(u) be the second derivative of u**6\/360 + u**3\/6 + 5*u. Let q(c) be the second derivative of v(c). Calculate q(d(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 3*m**2 + 4*m - 2. Suppose i + 3*s - 9 = 0, 0*i + i + 5*s = 19. Let l be (-1)\/i*-2*-9. Calculate d(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 26 = 4*j, 0 = -62*s + 59*s + 2*j + 8 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.045 - 1.035. Which is the biggest value? (a) 0 (b) 56 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 266826929 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, v: 3, t: 2}. What is prob of sequence tutu?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3\/8 (c) -3 (d) 18 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**4 + 285*q**2 + 26552*q wrt q?\nAnswer: -36*q**2 + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1 + 3*q - q**2 - 2*q**3 + 0*q + 0*q + 0*q. Let n(d) = 4*d**3 + 2*d**2 - 5*d - 2. What is -5*l(s) - 3*n(s)?\nAnswer: -2*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**3\/6 - 5*t**2\/2 + t. Is q(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.936 - 0.064. Let j = g - 110. Let l = j - -63. Is 1 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000529 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p*p**(-41)\/p))\/(p\/p**42)*p*p*(p*p**(-3\/20)\/p)\/p*p*p*p**(16\/3)*p)**(-2\/35) assuming p is positive.\nAnswer: p**(-5531\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/3 + 182*v**3\/3 + 834*v**2 + 2574*v + 1800 = 0.\nAnswer: -75, -12, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5120 + -6277. Which is smaller: k or -1160?\nAnswer: -1160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 18 = -12*h. Suppose 0*m + 2*s - 8 = m, -2*m + h*s = 12. Solve m = -3*k + 2*a + 11 + 14, -4*a - 20 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -77\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*x + 18976, x + 2*m + 28459 = -2*x. Is (x\/28)\/(4\/(-16)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106856271258 + -105.7.\nAnswer: -106856271363.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 882229?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7914077?\nAnswer: 7914077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 45*i - 394. What is r(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/12*72\/(-60))\/(2\/10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 10*t**2 + 12*t + 10. Let q be c(-11). Let r be 5*q*198\/55. Let o = r - -18. Solve -2*w - 1 + 9 = o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 + 4.1. What is the smallest value in k, -1\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(448) + 4 + (sqrt(448) + sqrt(448) + 1*sqrt(448))**2 - (-5 + (sqrt(448) + 1)**2 + -4)).\nAnswer: -10776 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 + 2*c**2 - 221*c + 221*c + 1 - 3*c**3 to the form w*c**2 + i*c + u*c**4 + s + o*c**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 - 42*k - 1097. Let i(l) = -l**3 - 14*l - 365. Let t(c) = 11*i(c) - 4*r(c). List the prime factors of t(0).\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30498)\/(-255))\/46*(-10)\/(-2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 3*s**2 - 6*s - 4. Let k be (4\/6)\/((-1)\/18). Let q be 40\/12*k\/10. What is the remainder when x(q) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1 + 3112*o - 3117*o + 4. Let w be n(-7). Let j(s) = s**3 + 3*s**2 + s + 4. Let b be j(4). Calculate the greatest common factor of b and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -9\/895?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -5*v + 84. Let j = 20 + v. Let q(d) = -495*d - 4. Is q(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -2 (c) 5 (d) -3 (e) -711\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2 - d - 484. Let i(o) = 9*o - 2. Calculate i(u(k)).\nAnswer: -36*k**2 - 9*k - 4358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/6))\/w**(-5)*w**(-10)\/((w*w**(3\/11)*w)\/w*w))**(2\/37))**2 assuming w is positive.\nAnswer: w**(-806\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 718 - 718 + 88*r**2.\nAnswer: 88*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*h - h. Calculate the remainder when (-49544)\/(-968) - (4\/22 - 0) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5583431*m**4 - 1113890*m**2.\nAnswer: 134002344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 + 0.1. Let p = s - 0.33. Which is the second smallest value? (a) -3\/7 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.63 (b) -2\/11 (c) -6 (d) 0.09 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 496 by 101889.\nAnswer: 496\/101889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 3, 9, -32, -2, 1 in descending order.\nAnswer: 10, 9, 4, 3, 1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/(-4))*(-552)\/184.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1992 + 1996 + 1989 + 1992 + 1995 + 39*i - 9972.\nAnswer: 39*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377481059 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -63, -101, -141, -177, -203?\n\"Answer: p**3 - 10*p**2 - 7*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 47, 175, 431, 857, 1495, 2387, 3575?\nAnswer: 5101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w**2 + 3*w + 33201076*w**3 - 6*w**4 + 104*w**2 - 33201078*w**3 to d*w + s*w**3 + p*w**4 + j*w**2 + u and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*d**4*n - 10*d**4 - 923*d**3*n - 2471*d**2 - 6525*n wrt d.\nAnswer: 1368*d*n - 240*d - 5538*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 2*l + 1. Let f be b(-1). Suppose f*r - 2*r = 28. Calculate the smallest common multiple of r and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -28. Let n = 35 + c. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3072190 divided by -212?\nAnswer: -1536095\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -37*n**3 + 8*n**2 - 4*n + 36. Does 13 divide g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204806667 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 36 = a. Suppose -4*x + 6 = 2*n, -n - 12 = -3*x - 0*x. What is the highest common factor of x and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 * 230\nAnswer: -25530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4929818305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1353 = 3775*l - 88178 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - (0 - -2 - 2). Let r be (-3)\/p*1*-38. Let w = 27 + r. What is w rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 5*k**2 + 3*k + 11. Let h be t(6). Let j(m) = -m**3 - 4*m**2 + 17*m + 14. Let b be j(h). Calculate the greatest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ror when three letters picked without replacement from {h: 1, u: 4, r: 2, o: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 5*d. Let t(a) = -21*a**2 + 49*a. Let o(q) = -49*l(q) - 5*t(q). Let z(f) = f**2. What is z(o(r))?\nAnswer: 49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - 16 = -23*x. Suppose -4*w + 4 = -4*q, 2*w + 7 = 5*q + w. Factor 2*s**x + s**4 - 2*s**4 + s**q - 2*s**3.\nAnswer: s**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 23*d**2 - 1.\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 4*k - 43*z, -1874*k + 1871*k + 3 = -3*z + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1440*x - 76097. Give a(-53).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 224007 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddccdddd. What is prob of picking 2 d and 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 1, t: 1}. What is prob of sequence ap?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52534, 419388, 1415112, 3354142, 6550914, 11319864?\nAnswer: 17975428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4561.\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o - 16 = 0. Let b(h) = -3*h**2 + 2*h + 6. Let x(v) = -2*v**2 + v + 4. Let u(m) = 5*b(m) - 8*x(m). Determine u(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29 and 29\/40 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4614 is divided by 4245?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28\/95 + -2\/19. Suppose 4*n - 3*v + 0*v - 20 = 0, 3*n - 15 = 3*v. Suppose 20 = n*i - 5*w, i + i - w = 5. What is the closest to i in -5, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 194, 2, -16492 in ascending order.\nAnswer: -16492, -1, 2, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*x + 573 + 943 = -1112 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -230.52 - -180.4. Let i = -20 - 29. Let p = f - i. Round p to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 9479470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3679029 + -2380029. What is b rounded to the nearest ten thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:19 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*(3528\/(-180))\/7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:05 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -79 + 546634\/6919 + (16\/17 - 1)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 7364426\nAnswer: -1\/7364426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/4 - y**3 - 3*y**2\/2 + 3*y - 4764. Let l = -10 - -14. Suppose 0*g - g + l = 0. What is x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 7 (c) -30207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -b + 20, -32 = -4*a - 26*b + 22*b. What is the greatest common divisor of a and 214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhjjhhhhhjh.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3746, -7444, -11164, -14918, -18718, -22576, -26504, -30514?\n\"Answer: -2*s**3 + s**2 - 3687*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -135380000 to the nearest one million.\nAnswer: -135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q**3 + 6*q**2. Let s = -5 - -10. Let f(c) = 6*c**3 - 5*c**2. Give s*b(t) + 6*f(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 26. Is -1*(-578 + f)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8312000 to the nearest one hundred thousand.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1195342 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 24. Suppose 11*x - 54 + 21 = w. Solve -p + 0*p - x = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10a77d (base 14) to base 11\nAnswer: 357895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 18.05. Let g = b + 0.15. What is the third biggest value in 3, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*(225\/10)\/5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(245) - (2 + (sqrt(245) - sqrt(245)*2)))**2 - ((sqrt(980) + -2)**2 + 2).\nAnswer: 196*sqrt(5) + 5143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 40. Let y(c) = c - 39. Let a(i) = -4*g(i) - 5*y(i). Let m = -43 + 57. Let d be a(m). Put 1, -4, 2, d in increasing order.\nAnswer: -4, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6377596 divided by 3551.\nAnswer: -1796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17908 and 2812.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/11 + 503738*n**3\/11 - 3526090*n**2\/11 + 5540974*n\/11 - 2518620\/11 = 0. What is n?\nAnswer: 1, 5, 251862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4 + 58\/4. Let t(j) = 2*j**3 - j**2 + 2*j + 1. Let v(o) = -13*o**3 + 19*o**2 - 11*o - 19. Let b(q) = -6*t(q) - v(q). Determine b(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5440458 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than -1359696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106090 (base 10) to base 8.\nAnswer: -317152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**3 - 13*c**2 + 11*c + 9. Let u(l) = 6*l**3 - 13*l**2 + 12*l + 10. Let b(s) = 3*p(s) - 2*u(s). Is b(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microsecond in nanoseconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from cccccccckccccccccc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80886, -323352, -727464, -1293222, -2020626, -2909676, -3960372?\nAnswer: -5172714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -34. Let p = n + 25.6. Suppose m + 7*q + 3 = 2*q, m - 3*q + 3 = 0. What is the smallest value in -1, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 433333*k + 1. Let m be i(3). Round m to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/36 and 173\/1350.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 53181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjtbbbbbbjjjbbjbbbj. What is prob of picking 3 b?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4204 - 189191\/45. Calculate the common denominator of (152\/(-28))\/((-75)\/35) and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329168 divided by 47024.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 172287.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2448) - (sqrt(2448) + 3)) - sqrt(2448))**2 + (sqrt(2448) - (0 + sqrt(2448))*1)**2 + -1 + -5 + ((sqrt(2448) - (1 + sqrt(2448))) + 1)**2.\nAnswer: -432*sqrt(17) + 2766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -460141 by 59.\nAnswer: -7799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s**3 - 191*s**2 + 7*s + 189. What is x(-9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.28839 + 0.36099. Is 2\/7 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (36\/(-6))\/(-3). Solve v = f - r*f - 4, 0 = 2*f - 4*v - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 106, 4, 456144, 2\/17?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xppxpppppppxxp. Give prob of sequence xp.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 354064 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**7)\/d)\/(d*d**(-3\/14))*d**(1\/21)*d*d\/d**(3\/7)*d)**(1\/29) assuming d is positive.\nAnswer: d**(-25\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 8*i**2 + 3*i + 4. Let o be b(-3). Solve 145*j**2 + 345*j**2 + 350*j**2 - 75*j**5 - 336*j + 8 + 435*j**4 + o - 912*j**3 = 0 for j.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -863 - -863.1954. What is w rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 10. Let j be x(4). Suppose -4*n + 34 = j*s, -40 = 4*s - 6*s + 2*n. Calculate the remainder when 35 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/(k*k\/k**2*k))\/((k\/((((k*k**(-2)*k)\/k)\/k)\/k))\/k*k\/(k*k**9))*(k**1)**(3\/13)\/((k*k**7*k)\/k**(-1\/2)) assuming k is positive.\nAnswer: k**(97\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 9*f + 16 - 42 = 0, 17*y + 14 = 16*y + 5*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2473.9 - -2474. Which is the third smallest value? (a) 3 (b) n (c) 9\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 21 + v**2 + 5*v + 2*v + v. Let y be m(-15). Suppose 8 + 0 = 4*z, 5*o - y = 2*z. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6 and -7\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90941568 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*p**5 - 7*p**5 + 12*p + 0*p**5 - p wrt p.\nAnswer: -280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.161 and -0.063.\nAnswer: 2.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 333*n + 2337. Determine p(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (27208\/(-28))\/(-1) - 4\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3281205934.\nAnswer: 2, 2897, 566311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (-2824)\/(-18) - 57\/(-513) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89988021*j*k - 14*j - 800920 wrt k.\nAnswer: 89988021*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1012 and 6.\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 3. Let t be h(-3). Let b(f) = -2*f**2 + f + 4. Let a = -7 + 9. Let z be b(a). Sort t, z, 0 in ascending order.\nAnswer: z, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3823 + 3889. What is the remainder when i is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*l**2 - 2*l**4 + 11993*l**3 - 11999*l**3 - 2*l**4 as q*l**3 + x + d*l**4 + h*l**2 + y*l and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 855*p - 6866. Determine n(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 27 + 23 - 47 - 7*k - 4*k**2.\nAnswer: -4*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (6 + (3 - 1)) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:59 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -49964, 0.2, 2.31?\nAnswer: 2.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/7))**(-33)*(k**(-2)*k)**48 assuming k is positive.\nAnswer: k**(-501\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. Let p(x) = -11*x + 2*x**3 + 4*x - 3*x**3 + 13 + 15*x**b. Is p(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a factor of 44461642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -19 - (5 + 6\/(-2)). Let h be u\/(-15) - (-1)\/(-1). Let 2\/5*o**2 + 2\/5*o**3 - h - 2\/5*o = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3 - 10*b**2 + b - 5811 wrt b?\nAnswer: -6*b**2 - 20*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 - -57. Let j(w) = 2*w**2 + 2*w - 10. Calculate the smallest common multiple of 16 and j(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*o = -0*n + 87, 0 = 3*n + 4*o - 272. Let p be 2\/(-1 + n\/100). Let d = -1 - p. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 20*h**2 - 27*h**2 + 76*h**2 - 29*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 4)*(-2 + 2 + 2) + 5 - 8 + 6)*(-2 + 2*w**2 + 2)*(-8 + 4 - 6).\nAnswer: -100*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = h, 0 = -5*t + 3*h + 17 + 1. What is the highest common factor of 33 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 8) in base 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 2 - 3 - 4. Let l(c) = 2*c**2 + 4*c + 1. What is the units digit of l(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-308)\/6)\/(14\/(462\/55)). Are l and -32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156063247\/492 + -317202. What is the common denominator of n and 107\/108?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 28, 40, 52?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 14 - 7 + 4*x**2 - 2*x**3 + 0*x - 3*x + 5*x as d*x + n*x**2 + m*x**3 + o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 49, 52, 55, 58, 61?\n\"Answer: 3*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:52 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 298, 4360, 1, 0.01 in descending order.\nAnswer: 4360, 298, 1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 331605 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 6963?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1915*p - 546 + 3801*p - 1887*p as b*p + u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 9) to base 7\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -15 - (-15 + 7) - -34 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001111110001 (base 2) to base 12.\nAnswer: 15215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96098842?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 0.8 (c) -5 (d) -2 (e) -2085.386\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1\/4 (c) -652 (d) -0.1284 (e) -0.2 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 54*h**2 + 61*h + 61. Is 74 a factor of c(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11501\/(-636) - (-7)\/84. Let j(k) = -k**2 + 2*k + 4. Suppose 2*o = 7 + 1. Let p be j(o). Put p, c, 3 in increasing order.\nAnswer: c, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1119*u - 1114*u - 5*q = 15, -5*q = 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 7*j. Solve g - 4 - 1 = j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 21. Suppose r*t = 8*t + 1. Let k be (22264\/1386 - 16)\/(4\/3). Do t and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 6*a + 3. Let x be g(-6). Let n = -5 + x. Let z = -39 + 35. Is n at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -20. Let l be 1\/(1 + 1 - 3). Is l less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176963492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1456\/(-44) + (-389)\/(-4279).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 2*b**2 - 11 + 0*b**2 + 0*b**2 to h*b**2 + m + g*b and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-540)*-3 - (-2)\/8.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 + 51*x - 106. Give j(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 12\/7, 2\/1405, -0.5, 278?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/3)\/(t**(-1)*t))**(2\/13))**(3\/10) assuming t is positive.\nAnswer: t**(4\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 9*w**2 - 2*w - 1. What is z(9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 294, 319, 330, 321, 286?\n\"Answer: -z**3 - z**2 + 35*z + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 - 2*i + 42*i**3 - 3*i + 6*i. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 2*v**2 - 5*v - 4. Let n be z(-2). Suppose n = 4*d - d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54 in 0, -10, -48.24?\nAnswer: -48.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c = 60*c - 180 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88 - 61) + -3 + -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m**3 + 33*m**2 - 11*m - 7. Let y(d) = -10*d**3 + 37*d**2 - 13*d - 8. Determine 9*o(w) - 8*y(w).\nAnswer: -10*w**3 + w**2 + 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152\/(-133)*(-614586)\/12?\nAnswer: 2, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 8, -93, -18119?\nAnswer: -18119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/4 - 583275*g - 340209725625 = 0. What is g?\nAnswer: -1166550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 2 (b) -109 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164138585?\nAnswer: 5, 13, 283, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 4*k**2 + 18*k + 2. Let d(n) = 2*n. Let s(g) = -8*d(g) + x(g). Determine s(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8586533 is divided by 901.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, t: 9, c: 4, d: 2}. What is prob of sequence dt?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -2)\/(-3 + (-5620)\/(-1873))?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + c + 2 - 6*c**3 + 2 - 39*c**2 + 3*c**3 - 35*c**2 in the form y*c**2 + r + b*c**3 + g*c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -67602230, -135204464, -202806696, -270408926?\n\"Answer: j**2 - 67602237*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 + -7 - -31) + 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 531*a**2 - 525*a**2 - 4 - 6 in the form m*a**2 + z*a + c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641 + 1565 = -42*b for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73486177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a kilogram in grams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 5718, -2, -4, -5 in decreasing order.\nAnswer: 5718, 5, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 591 + -13367028.\nAnswer: -13366437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 2*s - 9*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 39892500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 - f**4 + 0*f**3 + (2*f - 4*f + 3*f)*(-4*f**3 + 5*f**3 - 3*f**3) + (14*f**2 + 7*f**2 + 6*f**2)*(3 + 2*f**2 + 0*f**2 + 0*f**2).\nAnswer: 51*f**4 + 81*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, 8.\nAnswer: -31, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52.2 + 112.6. Let i = s - 60. Which is the closest to 0.2? (a) i (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 2366.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/17)*m)**(-46) assuming m is positive.\nAnswer: m**(-690\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 50105.99 weeks?\nAnswer: 30304102752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 102414.\nAnswer: 409656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53528?\nAnswer: 2, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 2*p = 4*z + 24, -2*p = 4*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 - -324. Let u = z - -982. Let h = u + -702. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**4*y - 2105*r**3*y + r**2 - 2*r*y - 2*r - 21*y - 248 wrt r?\nAnswer: 24*r**2*y - 12630*r*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5958 = -3*n - 1545. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/15 + 4\/(-10). Suppose 11*t - 79 = -13. Let z be 1*11\/33*t\/14. Sort 2\/3, v, z in descending order.\nAnswer: 2\/3, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -1\/2*i**3 + 3\/4*i**4 + 35*i - 9\/2*i**2 + 3\/20*i**5 + 0. Factor a(r).\nAnswer: 3*(r - 1)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*1)\/sqrt(3) + 2*sqrt(28).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 167 = a, 4*a - 3*a - 4 = 0. Let x be 9*n*(-55)\/(-33). Let k be (-4)\/(-10) + x\/(-2075). Is 1 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -14. Let p be w*(5 + -5 + 6\/14). Suppose 94 = 2*g + 2*u - 3*u, 0 = -p*g + 4*u + 151. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 + 106 = 3*w. What are the prime factors of w?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -66. Let x = m + 48. Suppose -x*g + 11*g = 9. Solve g = -2*v + v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4220406*b + 4220402. Give x(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2453 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27824385 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0*p + p + 2*p)*(-9*p**2 - 17*p**2 + 3*p**2) to the form j + v*p + l*p**3 + q*p**2 and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -464, -471, -482, -497?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/6, -5, -0.0602, 0 in ascending order.\nAnswer: -5, -3, -0.0602, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 6*n**2 + 6*n - 3. Let j be s(-7). Suppose 3*v = -j*c + 60, -c + 3*v + 15 = 7*v. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88041740 and 82282.\nAnswer: 88041740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + 276\/(-9))*(-4 + 7 - 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxiixxciiciixixcxixc. Give prob of sequence ic.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 509171896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:51 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 8 + 4 + 4.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 738328050.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = 77*a - 13*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110010100011 (base 2) to base 13.\nAnswer: -c874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/2 - 13*g**3\/3 + 8*g**2 + 83*g. Let h(j) = -j**2 + 5*j - 3. What is 16*h(t) + 3*q(t)?\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5527 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50858)\/(-3717) + (-40)\/15 - -1*(-10 - 1)?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 2*-64 - (134 + -134). Calculate the highest common divisor of 25019 and f.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000591764 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -132?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-24) - (-494)\/456. Which is the fourth smallest value? (a) m (b) 0.11 (c) 1\/2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.933006499 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 154 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2085, -4457, -6837, -9231, -11645?\n\"Answer: -t**3 + 2*t**2 - 2371*t + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -306987.\nAnswer: 1534935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**(-11\/8)*(q\/q**(2\/5))**(4\/13) assuming q is positive.\nAnswer: q**(-379\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -200566.58 to the nearest 100.\nAnswer: -200600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/15))**3 assuming u is positive.\nAnswer: u**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/g**(-2\/3))**25\/(((g*g*g**(-3)*g*g*g)\/g)\/((g\/g**0)\/g))**(-28) assuming g is positive.\nAnswer: g**(584\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7383498*w**2. Let u(g) = 8*g**2. Give u(t(d)).\nAnswer: 436128341728032*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3 - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 804157367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -183, -275, -365, -453?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2223)\/117 + 86\/4. Determine a, given that 2*a**2 - 1\/2*a**3 + 1 - n*a = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + n**3 + 5*n - 5*n - 5. Calculate f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56145*v**2 + 12381*v**2 - 100341*v**2 - 53612*v**2 + 4505*v**2.\nAnswer: -193212*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -0*c - c - 3*k, -3*c - 4*k - 1 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50423, -100842, -151261?\n\"Answer: -50419*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 4. Suppose k - 4 - 1 = 0. Suppose -4 = -5*v - k*w + 1, -5*v = -w - 29. Suppose -4*j = h + 23, 3*h + 1 + 0 = v*j. Determine q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(21) + sqrt(63)\/sqrt(3))*2 + 6*sqrt(63)\/sqrt(3))\/(sqrt(12)*1 + sqrt(3)*-1*-6).\nAnswer: -1 + 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76.3 + 83. Let g = x - 6.39. Let k = 0.3178 - g. What is k rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*i + 16 = 0, 4*i - 4 = -24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 31*d**4\/12 - 19*d**3\/6 - 9*d. Find the second derivative of z(w) wrt w.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1404 (base 5) to base 16\nAnswer: -e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48667280 is divided by 9733448?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f*h**3*q + 2*f*h**3 - 2*f*h**2*q + f*h**2 + 10*f*h + 2*f - 6*h**3*q wrt h?\nAnswer: -36*f*q + 12*f - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -1\/9, 0, -1\/1697?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268639\/76068 + -8\/2113. Calculate the common denominator of i and -149\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 10. Let r be d(-4). Let k(g) = 4*g - 1 - r*g + 5*g**2 + 0 - 3*g. Let q be k(-1). Solve -5*o - 4 = b, -q*b + o - 14 = 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0, -5, -1\/4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242207309 to the nearest integer?\nAnswer: 15563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 24*u**2 + 3*u - 2*u**3 - 2*u + 9*u**2 + 17*u**2 - 2 - 52*u**2. Give a(3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4038*a**4 - 9*a**3 - 6*a**2 + 885?\nAnswer: -96912*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -71. Let q(p) be the second derivative of 3\/20*p**5 - 4*p + 0 + x*p**3 - 1\/4*p**4 + 0*p**2. Let q(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 + -21 - -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(320)*1)\/(sqrt(8)\/(sqrt(2)*2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 5*n. Suppose 0 = -3*a - 4*o + n, 2*o - 3*o - 3 = -a. Solve a*l - 4*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/10057947 and 127\/162.\nAnswer: 543129138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-8 - (-4 - -7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36788, 36783, 36766, 36731, 36672, 36583?\nAnswer: 36458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*l = 27, w - 608 + 609 = l for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2\/6 + 385*h\/6.\nAnswer: 5*h*(h + 77)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (315\/(-25))\/3 - -6. Which is the closest to 2? (a) -1 (b) t (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*((-147)\/3)\/49?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 - 126. Suppose 4 = t + 4*b, j*b + 46 = -2*t + 5*t. Solve 0*d - 11 = -4*l + 3*d, 4*l - 4*d - t = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*c + 0)*(1 - 3 + 0) - 2*c + 0 + 0 - 2*c - 7 + 7)*(-4 + 2 + 4).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 21, 48, 87, 138, 201, 276?\n\"Answer: 6*i**2 - 3*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0*o, -3*o + 1380 = 3*c. Suppose 0 = 47*w - 37*w - c. Calculate the highest common divisor of w and 414.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1302 and -7\/36704.\nAnswer: 770784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 9. What is the common denominator of -51\/8 and (b\/10)\/((-4)\/56)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(-1\/3))\/t)**(-32)*(t**(-1))**(-35\/3)*t\/((t*t\/(t**(-2\/9)\/t))\/t)*t**4*t**(-5)\/((t**(1\/11)*t)\/t*t) assuming t is positive.\nAnswer: t**(-1285\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8*4\/(-1). Let o = -43.73 - -2.13. Let r = o + 42. Which is the second biggest value? (a) 5 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*n - 60, 226*f - 230*f - 16 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 491 - 488. Let m be (-4)\/8 - 9\/2. Sort b, m, -21 in decreasing order.\nAnswer: b, m, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**3 - 29*g**2 + 42*g - 23. Let m(u) = -3*u**3 + 10*u**2 - 14*u + 8. Let j(o) = 2*c(o) + 7*m(o). Determine j(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/4030930 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6014 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 28*m**2 + m + 1. Let r(j) = 5*j**4 - 10*j**3 + 560*j**2 + 130*j + 95. Let t(k) = r(k) - 20*x(k). Solve t(o) = 0.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2 + 12*o + 2*o**2 + 11 - 1 + 4. Let f be y(-6). Suppose 0 = -0*i - 3*i + f, -3*i = -4*k + 60. Is k less than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11301 + 41211?\nAnswer: 103012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + b = 0, 16*z - 18*z - 3*b = 14. Let w be 3\/(-2)*4\/3. Put z, -11, w, 1 in ascending order.\nAnswer: -11, w, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*x = -721*x - 624*x - 24477 - 11228 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -319776 times -158?\nAnswer: 50524608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/20 - 2*r**4\/3 + r**3\/3 + r**2 - 5*r. Let z be b(7). Let n = z - -72. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15704 + -12967. What is the remainder when s is divided by 1368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185807?\nAnswer: 13, 277, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202304?\nAnswer: 2, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -141474 + 400?\nAnswer: -141074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*s + 14. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2459336)\/(-2376) - ((-112)\/(-54) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232220 (base 4) to base 15\nAnswer: d3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 - x**2 + x - 2. Let z(i) be the third derivative of i**6\/120 - i**4\/24 - i**3\/6 + 13*i**2 + 3*i. Give p(j) - 2*z(j).\nAnswer: j**3 - j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 13712274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2254, -2261, -2268, -2275, -2282?\n\"Answer: -7*x - 2247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 73.5. Let t = 3.3 + -3. Sort 5, t, v.\nAnswer: t, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 7*v + 1. Let h be q(-4). Is 383\/h + 38\/95 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65\/252 + 1\/126. What is the third smallest value in 0.05, 0.3, c, -10?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 78 = 3*t. What is the remainder when (2\/4)\/(-14*(-1)\/3584) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3528390 is divided by 362?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3485046 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1830 is divided by 203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, w: 3, o: 5, a: 1}. What is prob of sequence wss?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/480 and 157\/132?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2394 and 1.099?\nAnswer: 2631.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 122*i + 4571. Let n be w(30). Suppose 0 = 4*d + 5*v - 288, 0 = 2*d + 2*v - 171 + 25. What is the greatest common divisor of d and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.4. Let p = 3.6 + t. Let y = -3 - -8. Which is the nearest to 0? (a) p (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 11. Let n = -0.91 + 4.91. Let g be (-3)\/(-4)*(-6)\/(-27). Which is the second biggest value? (a) g (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-384)\/(-80))\/((-4)\/(-440)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + 6 + 42 + -80 + 41 - -24.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 + (-30 - -37 - 1 - (-7 - -2)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 39*r - 26. Let b be j(6). Suppose 30*m + b = 43*m. Calculate the lowest common multiple of m and 504.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 336.73 - -16.07. Let p = g + -353. Let o = 0 - -0.1. Which is the closest to o? (a) 2\/3 (b) p (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/58 - -12\/29. Which is the third biggest value? (a) n (b) -13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + z**3 - 6*z + z - 4*z**2 - 14. Let h be u(6). Let v(f) = -f**2 + 0*f**2 + 1 - h - 3*f. Determine v(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejbejejjj. What is prob of sequence eb?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*g - 78, 6*n - 2*g = 2*n + 116. Suppose -5*t + 3*q = 231, 3*q = t - 4*t - 129. What is the least common multiple of n and ((-18)\/t)\/(2\/80)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {z: 2, a: 4, i: 4, t: 2}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/3)*m)**(5\/8)*m**(-4)*m**(2\/5))**37 assuming m is positive.\nAnswer: m**(-1073\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14 + 8)\/((-3)\/4). Suppose -3*u + 9 = -m - v, -4*m - 16 = u. Let c(z) = -3*z + 4. Let q be c(m). Solve 0 = 2*p + 5*d - q, 3*p + 3*d + 2 - 8 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -20*b**2 + b. Let x be (-15476)\/(-530) + ((-2)\/10 - 0). Let q(z) = 93 - x - 30 - 34 + z. Calculate q(u(k)).\nAnswer: -20*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1274.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 1207.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.3, -1.1, 0.3, -11\/107, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 109\/12 - 11\/4. Let r be (-5)\/(-4) - -1 - 2. Sort -1\/4, r, t in decreasing order.\nAnswer: t, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19106 is divided by 955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69164 is divided by 16781.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161395\/82698 + -3\/3938. Let m = 3853\/15 - 261. Calculate the common denominator of w and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024369283 rounded to 5 decimal places?\nAnswer: -0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 0*m**4 + 6*m**5 + (10 - 10 + 17*m**4)*(0*m - 4*m + 2*m + (-2 - 1 + 2)*(-3*m + 3*m + 2*m) + 10*m + 2*m - m).\nAnswer: 125*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x. Let j(k) = 7*k**2 + 7*k + 1. Let i = -5 - -4. What is i*j(r) + 5*m(r)?\nAnswer: -2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15839 - 2?\nAnswer: 15837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**3*x + 160*k**2*x - 1899*x wrt k?\nAnswer: -3*k**2*x + 320*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in -7, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3\/(p*p*p\/(p**(2\/45)\/p)) assuming p is positive.\nAnswer: p**(-43\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.939504 months?\nAnswer: 0.000578292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 45*u**2 + 887*u + 5373. Let d(r) = 14*r**2 + 295*r + 1791. Let t(f) = -2*a(f) + 7*d(f). What is the derivative of t(l) wrt l?\nAnswer: 16*l + 291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/h**(-27))\/h)*h)\/h)\/h)\/(h*h\/(h\/(h**(-1\/4)*h)*h)) assuming h is positive.\nAnswer: h**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 1858200*f**2 - 7432860*f - 7432880.\nAnswer: 5*(f - 371644)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d**(-4))**(-31) assuming d is positive.\nAnswer: d**(341\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2 - 2803 + 381 - 4*k**2 + 56*k + 190 - 31*k with respect to k.\nAnswer: -6*k + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 24*b**2 - 24*b + 26. Calculate s(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 129296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/20))**28 assuming n is positive.\nAnswer: n**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 510 = 2*j, 255 = -2*j + 3*j + 6*y. What is the smallest common multiple of j and 18?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -6 + (-7 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5735873886815 + 61\nAnswer: -5735873886754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j*j\/(j\/(j**(2\/11)\/j)))\/j*j)**(16\/5)\/(j**(-7\/3)*j**(-32)) assuming j is positive.\nAnswer: j**(6817\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4*0 - -4. Solve -4*f - 6 = h, -f + h = -4*f - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -461.0000438 + 461. What is u rounded to six decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*l + 443*l = 884*l - 3*s - 172, 2*l - 2*s - 136 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -11. Let x be (1*h)\/((-4)\/(-8)). Find the common denominator of x*(1 + (-25)\/36) and 137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4411139969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -1)*45\/(-30). Suppose y*f = -5 + 8. Is f at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1082592334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4136 (c) -2\/325 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 21 - 3)*(-4 + 4 + i)*(5*i - 7*i - 3*i).\nAnswer: 105*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from jjlljjjjllj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1089014*s - 2336. Let g(r) = -11227*r - 24. Give 292*g(x) - 3*i(x).\nAnswer: -11242*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70123 <= -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*k + 12*k - 18*k + 5*k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 3. Let y(a) = 9*a. What is h(y(m))?\nAnswer: -27*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 33. Let i(b) = 64*b**2 + 4 - 37*b**2 - 3*b + 7*b. Let p be i(-2). Calculate the greatest common divisor of p and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 126*s - 1840. What are the prime factors of h(79)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162)\/sqrt(9))\/sqrt(6))**2 - (sqrt(3) - -3*sqrt(243)))*2.\nAnswer: -56*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14489 = -598*v + 10353 - 20382 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 461180 divided by 5\nAnswer: 92236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 11:05 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 5, 4, 409, 2.\nAnswer: -56, 2, 4, 5, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 660918 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 77*l + 35. Let h be k(39). Let y(b) = -2*b**2 - 18*b - 22. Suppose 5*i - 165 = -0*i. Calculate the remainder when i is divided by y(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 64\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 392779112*f**3 + 140619132*f.\nAnswer: 2356674672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -75. Suppose g*o + 1208 = 3002. Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 7 - 4 + 11.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8 = 28. Let r be i - -1 - 14\/(-5). Which is the biggest value? (a) 5 (b) -1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3551437 and 856.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2817540 is divided by 281754.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 33*k**3 + 16*k**2 - k + 3. Let l(u) = -32*u**3 - 16*u**2 - 2. Let o(v) = -2*f(v) - 3*l(v). Determine d, given that o(d) = 0.\nAnswer: -1\/3, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 8:57 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 3*k - 10 = 22 - 12, 4*q = -2*k - 2 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11\/5)*z**17*(z**(-18)*z)\/(z*(z**23*z*z)\/z))**24 assuming z is positive.\nAnswer: z**(-3264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2353037.\nAnswer: 107, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 83, 128, 177, 230?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z*z*z*z**4*z*z*z)\/z))**(-2\/37) assuming z is positive.\nAnswer: z**(14\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42979361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from vtuttvttutttttv.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-1 + 1)) + 1. Which is the second biggest value? (a) 262\/7 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -693 - 63*v - 239*v - 285*v - 625 with respect to v.\nAnswer: -587","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*g - 3, 4 = i + 4*g + 13. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxlllfxzlxllxnf. What is prob of sequence fnf?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172514 by 1.\nAnswer: -172514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25600 = -3250*j + 3762*j for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100493?\nAnswer: 100493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-18 + 35) - -50\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -123276.582*-0.2\nAnswer: 24655.3164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-12)\/o)\/o**0)\/(o\/(o**(-1\/5)*o)*o*(o*o*o\/(o\/o**(-2\/23)))\/o) assuming o is positive.\nAnswer: o**(-1738\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -19*x**2 - 7*x - 9. Let o(s) = -19*s**2 - 6*s - 8. Give 6*o(t) - 5*u(t).\nAnswer: -19*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -5, -16, -33?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -1973*n**6\/120 + 237*n**5\/20 + 2*n**2 - 253*n. What is the third derivative of y(w) wrt w?\nAnswer: -11838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6245017 is divided by 3122503.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6118, 5945, 5772, 5599?\n\"Answer: -173*h + 6291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/40 and 11\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3327 - 32?\nAnswer: -3361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 135777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*d**3 - 132*d**2*z**2 - 40324*d*z**2 wrt d.\nAnswer: -162*d - 264*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1804, -144, -3\/7, -2\/17?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Let f be 0 - 1*(2 + -8). Is f\/3 - (-4 - c) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8322020.\nAnswer: 2, 5, 7, 59443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 28. Let c be (-232)\/s + 5\/(-25). Let b = 36 - c. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 10*d**2 - 5*d - 14. Let h be x(-10). What are the prime factors of 5 + -5 + 0 + -2 + h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 11 = 4. Let t(a) = a**2 + 5*a + 2. Let g be t(l). Let p(h) = 0*h**2 - h**g - 7*h**2 + 7*h**2. Let v(q) = 8*q**2. Give v(p(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*-9*3\/(-324)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 1232696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxc. What is prob of sequence xx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3918 - -21310. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 n when four letters picked without replacement from {e: 1, k: 3, y: 2, n: 3, g: 2, w: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -136.82 times -10\nAnswer: 1368.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2253 + ((-3)\/12)\/1. Let i = x - -2241. Let y = i - -12. Which is the second biggest value? (a) -5 (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 13*d**2 + 28*d + 3295. Give z(0).\nAnswer: 3295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 1. Suppose 3*q = -0 + h. Solve q*g + 3*r = -8, -2 = -g - r - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18417*u**2 - 25408?\nAnswer: -36834*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 339 or 279?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, f: 8}. Give prob of sequence fyyf.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7 - 22. Let a(v) = -44*v + 36. Let k(q) = 44*q - 35. Let i(z) = s*a(z) - 4*k(z). Differentiate i(l) with respect to l.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 15. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c - 13*c + 22*c + (7*c + 30 - 30)*(2 - 6 + 2) as o + m*c and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. What is the lowest common multiple of (-4)\/(-9) + (-748)\/(-99) and (-141)\/(-6) + l\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/40)\/((-2)\/(-5)). Sort i, 0, -3 in ascending order.\nAnswer: -3, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/80 and 7\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/22 and 17\/74590?\nAnswer: 820490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 122540023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -9149 (c) -1.346\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 times -2.067?\nAnswer: 957.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 2*j - 9. Let p be v(5). Let r be 1*(-1)\/4*16\/p. What is the nearest to r in 0.1, -1\/11, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 42 = -3*j. Let w = -47 - -50. Solve -j = -w*l + 10*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -503*d**2\/2 + 2*d - 631. Let w(i) = -8*i**2. Calculate c(w(u)).\nAnswer: 4024*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1029.02 + 886. Let s = -143 - k. Is s smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d - 6, 218 = -3*q - 2*d. Let m = 73 + q. Let v = 8 + -12. Let g(x) = x**2 - 1. Let o(u) = -3*u**2 + 2. What is m*o(a) + v*g(a)?\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-392)\/(-35)) - 3\/7. What is the biggest value in -0.4, 0.044, s?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((280\/7)\/10)\/((-20)\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -583 in decreasing order.\nAnswer: 2, -4, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {d: 9, i: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*f - 2*f - 12, 3*f + 11 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1124*d**3*g - 2*d**3 - 3*d**2*g - 4*d**2 + 16 wrt d?\nAnswer: -6744*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 < 141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5067*d + 108*d - 100*d.\nAnswer: -5059*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000187136 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10870 - 991 = 75*t + 4233 + 1146 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16904 is divided by 483?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -m + 9, 5*m - 72 = -2*a - 3 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cc - 2?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u - 1390 = 0. Let j = 982 + u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/45 in -5, 0.27, -1847?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, r: 9}. Give prob of sequence crcr.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 868235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 22822550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15407426, -15407425, -15407424, -15407423?\n\"Answer: v - 15407427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d (base 16) to base 13.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 16 = -4*x, 0 = -2*k + 5*x - 48 + 35 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/19 - 41246*d\/19 + 48323744\/19 = 0.\nAnswer: 1247, 19376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38368 is divided by 19156?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -0.92379359.\nAnswer: 0.07620641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/25*(-15)\/9.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 8:21 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*q + 160*q = 34 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 138432, 138472, 138512, 138552?\n\"Answer: 40*g + 138392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/13316640 and -19\/721318.\nAnswer: 173116320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24\/5 (b) -1\/3 (c) -5.7 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7341.022 microseconds to nanoseconds.\nAnswer: 7341022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 64897 + 144547. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = -0*u - 2*u, -25 = -4*u + 3*k. Let c(b) = b**2 + 8*b + 19. Let j be c(-6). Suppose 0 = u*t - j*t. Put 4, t, -5, -4 in decreasing order.\nAnswer: 4, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -101.0455. Round o to 3 dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*i**3*u*v**4 + 5*i**3*u + 148*i*u*v**2 + 3*i*v**5 wrt v?\nAnswer: -2136*i**3*u*v + 180*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -51 + 36, 0 = -2*z + 4*q - 32 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*u + 7*x - 84, 2*x = 3*u + 13. Suppose 2*h = 5*h. Which is the nearest to 6? (a) u (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2343 and 198?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -155*i**3 + 4*i**2 - 2*i + 1. What is f(-1)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 119130?\nAnswer: -2382.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.88 + 0.18. Which is the second smallest value? (a) 3 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7200 and 200.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 42\/55 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 7*z + 5. Let m be l(-7). Suppose m*h = 3*h + 6. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 32. Suppose f*x = 4, -49 = 5*o + x + 25. Calculate the remainder when 2\/(-15) + (-47)\/o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 6, 0.3, 2\/25, -32, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12297073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v - 2*c = 8, -c = -5*v + 13. Suppose -v*f + f = 27. Is -27 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.08, 423, 0.1.\nAnswer: -5, -0.08, 0.1, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5)**(-10))**1 assuming w is positive.\nAnswer: w**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76808.23 milligrams in grams?\nAnswer: 76.80823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 255173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 90. Is (-410)\/(-18) + 20\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 4*r**2 + 8*r + r**2 + 5*r**2 + 6 + 0*r**2. Suppose q + 7 = 10. Suppose -19 = q*m + l + 5, -4*m = 2*l + 32. Give y(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 2, -3*w - 2142 = -n. Suppose 2*m - 5*m = -n. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7085.\nAnswer: 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 127.924029 seconds?\nAnswer: 0.0014806021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*12\/(-672)*2\/((-6)\/9)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9)*18\/(-4). Suppose y = -4*m + 11. Suppose -4*j - 1 = -13, z - m*j + 2 = 0. Solve -2*n = -6 - z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338424 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1238701.42 + -0.13306.\nAnswer: -1238701.55306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 73*j - 71*j + 8, 0 = 4*p - 5*j - 14. Solve y - 7 = -p*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 59*d**2 - 17*d + 36. Let s be g(6). Calculate the greatest common factor of 42 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*i*j**2 - 1461*i*j + 334863766*i - 3679*j**4 - 3 wrt j.\nAnswer: -22*i*j - 1461*i - 14716*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51068 and 2108.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -9. Let i(z) = -1079999*z**3 + z**2 - 3*z - 2. Let s be i(a). Suppose -3*d = d - s. Round d to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 462*m**2 - 1863*m - 200. What is h(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2747 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*sqrt(11) - (sqrt(66) + sqrt(66) + sqrt(66)*-2)\/sqrt(6))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*y = -17446, 2*y + 10636 = 2*c - 996. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 8. Calculate y(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56550, 56567, 56584, 56601?\nAnswer: 56618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2468, 4949, 7430, 9911?\nAnswer: 12392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/10)\/(s**(2\/13)\/s))\/(s*s*s\/(s\/((s*s**5)\/s*s))*s*s**(1\/6)*s) assuming s is positive.\nAnswer: s**(-1759\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*f**2 + 52*f**2 + 47*f**2 + 48*f**2 - 33*f as s + t*f**2 + n*f and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24459828.73 rounded to the nearest 1000?\nAnswer: 24460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -387 - -402. Let f(l) = -l**3 + 2*l**2 + 3*l - 3. Calculate the remainder when o is divided by f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 3*q**2 - 2*q - 3. Let l be i(-3). Suppose -j = -4*u + 131816, l*u - 8 = u. Round j to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34010 + 2601?\nAnswer: 36611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - (-7 + 9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-5))\/(1\/65). Suppose 3*a - 48 = -4*i, -6*i - 4*a + z = -2*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1771*c - 5315. What is a(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/5 + 42*t**3\/5 - 87*t**2\/5 - 132*t\/5 = 0. What is t?\nAnswer: -1, 0, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 q(t) be the third derivative of -t**6\/120 - 17*t**5\/60 - 7*t**4\/8 + t**3\/2 + 27*t**2 - 2. What are the prime factors of q(-16)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8696.542 + 8708. Round r to 1 dp.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + 8 = 0. Let k(y) = 301*y**3 + 2*y**2. Let u be k(a). Suppose 3*x + 3996 - u = 0. Round x to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4422420 divided by -491380?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21152889 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 + 20*f**2 - 8*f + 8. Let k(b) = b**3 + 7*b**2 - 3*b + 3. Let u(v) = -v**2 - 8. Let a be u(0). Determine a*k(n) + 3*i(n).\nAnswer: n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -23 (b) -0.5 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -118. What is the remainder when q is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 17*c + 1. Calculate the remainder when l(5) is divided by 1*26 + -1*(-7)\/((-91)\/39).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 - 19*o**3 - 133*o wrt o.\nAnswer: -24*o**2 - 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + sqrt(684))*2)**2 - (sqrt(76)\/(sqrt(4) - (sqrt(12)\/sqrt(3) - sqrt(4))) + -1 + sqrt(76)\/sqrt(4) + sqrt(19))**2.\nAnswer: 6*sqrt(19) + 10772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.71 + 11.99. Let c = -13.8 + x. Which is smaller: c or 4.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:17 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 + (4 - (-6 + 6)) + 7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12666800 and 2533360.\nAnswer: 12666800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4329900 to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -6170507?\nAnswer: 6170505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 34. Let a = 66 - v. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -449*s + 426*s - 184 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-4)\/(-6))*20. Suppose 3*h + 2*h - 40 = -5*g, 5*h = 5*g + u. Suppose -5*x + 52 = 4*z, -4*z + 3*x + h = -13. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 471 - 495 - 5*z**2 - 2*z**3 + 3*z**2 to the form h + r*z**2 + q*z + x*z**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeegeeegeeeeeeeeee.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61, 136, 231, 352, 505, 696, 931, 1216?\n\"Answer: s**3 + 4*s**2 + 56*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s + 24. Let m(q) = 154*q + 748. Let i(a) = -187*b(a) + 6*m(a). Let j(y) = 9*y**2. Calculate i(j(l)).\nAnswer: -99*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:33 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -315*v**2. Let o(d) = 2*d**2. Calculate g(o(u)).\nAnswer: -1260*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/4330476 and 47\/235818.\nAnswer: 47635236","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -294537171*c - 15608621 wrt c?\nAnswer: -294537171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00494932101 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/6 - -5) + -2*1. Suppose p + 4*l = 16, 0*p - 11 = p - b*l. Solve -p = f - 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 5*r - 71, 44*p + 2*r = 49*p + 6*r + 135 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13231.\nAnswer: 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a - 0. Does 6 divide (-9*(-6)\/9)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (8 - (5 - 3))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 + v - 1. Let j be t(1). Suppose 0 = j*c - 0*c. Suppose c*p = -p. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, y: 1}. Give prob of picking 1 y and 3 m.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:42 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -52, -3\/2, 3, 1\/5, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 2*x - 1. Let y(c) = -11*c**2 - 7*c - 22 + 5 + 4 + 9 + 6. Let u(f) = 7*k(f) + 2*y(f). Let i = 5 + -8. Give u(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-70)\/378*(-9)\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11482.92 - -11482. Put 0.03, -1\/5, l, -1, 0 in descending order.\nAnswer: 0.03, 0, -1\/5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2447156 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 8.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 18. Let u be h(13). Let z = u + 125. What is the greatest common factor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8 = -7. Let o be 2\/2 - 7\/u. Let v = -29 + 57\/2. What is the smallest value in v, 3, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/7 + 100*i**4\/7 - 1346*i**3\/7 + 2400*i**2\/7 - 1152*i\/7 = 0. Calculate i.\nAnswer: 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2701, 2708, 2715, 2722, 2729?\nAnswer: 2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-77)*(-66)\/72.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from yvjvjjhvhjhhj?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -694 - 12*n**4 + 1360 + 5*n - 5*n**2 - 661 to the form v*n + h*n**2 + m*n**4 + c*n**3 + u and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1030*i**4 + 329076*i**3 + 36057222*i + 6 wrt i.\nAnswer: 12360*i**2 + 1974456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - -1*sqrt(1200) - sqrt(12))*-6)\/((-2*sqrt(5082))\/sqrt(7)).\nAnswer: 30*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 758 = -2*w, 5*x - 4*w - 1273 = -9. Let i = -488 + x. Let o = i + 421. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/((-5)\/(-65)). Let l be 12\/(-60) + (56\/5)\/(-4). Sort -5, 4, r, l in ascending order.\nAnswer: -5, l, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 10*m**2 - 3*m - 5. Let n(x) = 8*x**3 + 81*x**2 + 23*x + 39. Let t(j) = -2*n(j) - 17*v(j). What is t(-9)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in 52, 3\/8, 0.5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/5340 and -40\/6519.\nAnswer: 11603820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2.9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209421, -209606, -209791, -209976, -210161?\nAnswer: -210346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 + (-195)\/(-45). Suppose -w*i + 771 - 233 = 4*z, -3*z + 394 = -i. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y**(-4)*(y**(-2\/3))**(-13\/4)*(y**(-1\/7)*y**(-1\/11)\/y)**(3\/10) assuming y is positive.\nAnswer: y**(184\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 0. Let b = p + -2. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - f - 255, 4*f + f + 175 = 3*t. What is the lowest common multiple of 84\/9*12\/8 and t?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5\/28, 1\/3 in ascending order.\nAnswer: -5\/28, 1\/3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 3*j**2. Let b(r) = r**3 - 2*r**2. Let a(w) = 3*w**2 - 9*w - 9. Let c be a(4). Determine c*z(d) - 4*b(d).\nAnswer: 2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001202100 + -11221021?\nAnswer: 212211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -25. Let j(k) = 7*k - 5. Let o be j(2). Suppose -5*v + o = -51. What is the highest common factor of w and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.23346 years to decades.\nAnswer: 0.723346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 172636193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**3 - 2*v**2 + 7*v + 1. Let y(s) = 11*s**3 + 5*s**2 - 15*s - 2. Let b(i) = 13*k(i) + 6*y(i). Determine b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 3. Let u be q(7). Suppose 0 = 4*t + 5*f - 61, 5*t = 8*t + 2*f - 51. Solve 4*j - 6*g + 3*g = -t, -u*j - 3*g + 11 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -726*h**3 - 7*h**2 - 310*h + 20. Let v(m) = -1451*m**3 - 13*m**2 - 619*m + 36. Let a(r) = 9*c(r) - 5*v(r). Find the third derivative of a(l) wrt l.\nAnswer: 4326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 30 = -7*u. Suppose 9*h - 5*r = 4*h + u, r - 10 = -h. Suppose c = 10 + 21. What is the remainder when c is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 0.18?\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11759*n - 477012 + 477012)*(0*n + 2*n**3 + 0*n).\nAnswer: -23518*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 91879127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5520*d**3*w**3 + 6*d**3*w + 3*d**3 + 1316*d**2 + 9*w**2 wrt w.\nAnswer: -33120*d**3*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 3. Let u be t(0). Suppose -u*d = -105 - 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + z - 3 + 11 - z - 7. Suppose -105*r + 93*r = -156. Give k(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2714*a**2 - 17*a + 13. Let g be -3*30*(-1)\/(-3)*2. Let d be (-6)\/(-5)*g\/8. Let x be z(d). Round x to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*r + 5*u, 2*u + 3 - 5 = 2*r. Let h = 232 - 159. Calculate the remainder when h is divided by (r - 1\/3)\/(12\/342).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136439+1947.8\nAnswer: -134491.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/2 - 290*u**2 - 31551*u\/2 + 16065 = 0.\nAnswer: -51, 1, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3 - 312*c**2*m**2 - 664*c*m**2 - 2*c*m wrt c.\nAnswer: 18*c - 624*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5152 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2152 and 274111.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 65*n - 304. Let l be i(5). Suppose -l*k = -44 + 44. Solve k*w = -2*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 + 25.15703441?\nAnswer: -249.84296559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2923840 to the nearest ten thousand.\nAnswer: -2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 19*a**2 + 19*a - 24. Let m be y(-20). Let b(z) = z**3 + 8*z**2 + 6*z + 6. Does 8 divide b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 17*j = -231*j - 213*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*h**3 - 2333*h**3 - 462*h**3 + 578*h**3 - 1106*h**3.\nAnswer: -3973*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 7*y**2 + 6*y + 4. Let r(u) = u**2 + 11*u + 6. Let q be r(-11). Let j be n(q). Is j\/(-22) + 3621\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 2*m**3\/3 + m**2 - 8*m - 2. Let o be l(0). Solve -4*z - 3*t = -10, o*z - 1 = -t + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2219844?\nAnswer: 2, 3, 11, 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 2419?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(28) - 1*sqrt(84)\/sqrt(3)) + sqrt(28))\/(sqrt(100)*3).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t)**(-19)*(t**(-1\/3)*t)**(1\/27)*((t*t**(-1\/8)*t)\/(t\/(t*t\/t**(-2))))**(-3\/4) assuming t is positive.\nAnswer: t**(-107909\/2592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 + 5 + -29 + 17 + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -14215155?\nAnswer: -14215152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106682833*f - 106682815*f + 213365660*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - h + 25 = 0, -45 = -4*t - 0*t - 5*h. Let k(f) = f + 9. Let x be k(-4). Calculate the smallest common multiple of 2\/x*(15 - t) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77897 - 13648. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 4, f: 2, q: 3, p: 1, s: 3}. What is prob of picking 2 v and 2 f?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93891 divided by -5523.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = q - 31. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(10)\/sqrt(2) + sqrt(5) + (-3*sqrt(5) - sqrt(5) - sqrt(5))*2.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y**27*y))\/y*y*y)\/(y\/(y**(-9)*y)) assuming y is positive.\nAnswer: y**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/5 + 82*v**2\/5 - 728*v\/5 - 360 = 0. Calculate v.\nAnswer: -2, 18, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 33. Let r be 1\/3 + (-1)\/p. Which is smaller: -1\/6 or r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.69 + 2.69. Let i = -393 + 379. What is the nearest to j in i, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9100753 to the nearest integer?\nAnswer: 3017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6368 and 450656?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 2*s + 38 - 3*s. Let v be a(0). Suppose -2*z + 0*z + v = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 72.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.052448 + 6.851488. Let o = i - 6.8. Round o to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/5)\/(9\/210). Let p be ((-81)\/z)\/((-9)\/(-222)). Let b = p - -47\/2. What is the second smallest value in 0.4, 0.02, b?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15753000 and 108.\nAnswer: 141777000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 994565, 994552, 994539, 994526, 994513, 994500?\n\"Answer: -13*m + 994578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)*2 + 31. Let c(z) = -5*z + 1. Let f be c(-1). Suppose 3*b = -f + g. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdd when three letters picked without replacement from {d: 2, v: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/841 or 1830?\nAnswer: 1830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 8. Let q(t) = 30*t + t**2 + 3 + 0*t**k - 34*t. Calculate the remainder when 9 is divided by q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(108)*2*-4)**2.\nAnswer: 248832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**7\/10 + 1259*q**6\/80 - 9*q**5\/4 - 2947*q**2. Factor l(b).\nAnswer: 3*b**2*(b + 90)*(14*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w**(4\/7)*(w**(-2\/7)*w)**(-11))**(-20) assuming w is positive.\nAnswer: w**(460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 6412639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 4:38 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcg when three letters picked without replacement from feecefccgccfgfctfeff.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 1 - 0. Let m = 3 + x. Let h be (7 - (m - 0)) + -2. Solve 0*y = h*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -837, -1\/8, 0.27, -4, 1, 0.\nAnswer: -837, -4, -1\/8, 0, 0.27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -25. Solve -5*l = -f + 22, -q*l = 2*f - 2*l + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12549871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 203.1, -5\/3, -2?\nAnswer: 203.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pexv when four letters picked without replacement from {j: 1, v: 2, d: 1, p: 5, x: 2, e: 6}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90328648 and -0.4.\nAnswer: -36131459.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + h, -2*i - 40*h = -41*h. Suppose 14 = 3*k - 8*k - 4*m, -4*m + 16 = i. Let w(j) = j + 14. What is w(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81654 + 4245603\/52. Do -7 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-5)\/5) + -4. Let k be f\/(-13) + (-4048)\/(-52). Suppose -3*y = 2*o - 200, -y = -o - 4*o - k. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = 2*u. Let z be (0 + -2 - u)\/1. Let m = -4 - -20. Solve 4*x = -z*x + m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 4*g**2 + 5*g + 5. Suppose -5*i + 12 + 15 = 2*x, 28 = 5*i + 3*x. What is the units digit of q(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**6\/1440 + o**5\/480 + 4*o**3\/3 - 31*o. Let z(y) be the second derivative of j(y). Factor z(p).\nAnswer: -p*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 405873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 13*q**2 + 2*q + 28. Let m be 7\/((-14)\/22) - 2. Let u be c(m). Let a(n) = 471*n + 25. Is a(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4055489 = -37*c + 4053306 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 25 = 5*h, 5*w - 5*h + 25 = -0*h. Suppose 13*u - 16*u + 66 = w. What is the lowest common multiple of u and (-10)\/4*(-4)\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 40563516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49668 divided by -12417.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8989 + 8988.9995217. Round m to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1790997614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4468392*-2\nAnswer: 0.8936784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*k + 7*m, 2 = -4*k - 2*m. Let l be (3 - 5) + -1 - 1. Let q = l + 5. Solve q = -k*i + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 451 and 4.\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 207281.97 minutes?\nAnswer: 20.5636875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59850.07 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*g**2 - 55*g - 1 wrt g?\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 15 = 4*n, -3*r - 31 = -0*r - 5*n. Let c be ((-12)\/r)\/4 + 87\/189. Factor -c*p + 2\/9*p**4 + 4\/9*p**3 + 8\/9 - 2\/3*p**2.\nAnswer: 2*(p - 1)**2*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -7581052?\nAnswer: 7581050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(432) - (2 + (sqrt(432) - sqrt(432)*-2)))*-3)**2.\nAnswer: 5184*sqrt(3) + 559908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 2}. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let r(d) = 19*d + 4. Let n(o) = 43*o + 9. Let w(y) = -4*n(y) + 9*r(y). Suppose -11 = -l + 7. Let k(p) = 3*p**2 - 18*p. Calculate c*k(i) + l*w(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide (26586\/(-756))\/((-4)\/2664)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947392 a multiple of 452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -415 + -342?\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 15462?\nAnswer: -15465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4708*v - 1961. Is t(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 8*r**2 - 4*r - 14. What is d(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 + 4*x**3 + 0*x**3 + (15*x**3 + 78*x - 78*x)*(8 + 358 + 203) to the form t*x**3 + f*x**2 + q*x + j and give t.\nAnswer: 8536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 528224.\nAnswer: -3\/528224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -68, -0.15, -2\/9?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1846*(-13)\/2. Let t be (y - (-3 + 3))*-1025. Round t to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 259\/21 + (-2)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127509, 255008, 382499, 509982?\nAnswer: 637457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1489\/(-9))\/(10\/(-6)). Let q = p + -529\/6. Let n = q - 67\/4. Find the common denominator of -53\/3 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-18) - 13390\/(-90) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1017 + 4411. 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 = -19137 - -57412\/3. Sort -5, -1, -0.77, p, -0.06 in decreasing order.\nAnswer: p, -0.06, -0.77, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.2, 0, -62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 46. Let h be 0 + -1 + 1 + 1. What is the tens digit of s + h + (-6)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u - 9*u - 2*u + 16*u**2 + 10*u + 8. Let t = 0 + 2. Does 5 divide d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**4 + 616*a**3 - 13908*a**2 - 29656*a - 15134 = 0.\nAnswer: -329, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*sqrt(8))**2)*4.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1733?\nAnswer: -4\/1733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, i: 1, z: 5, r: 4, a: 1, g: 3}. What is prob of picking 2 r?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 3 + 3)*(494 + 189 - 88)*(-16 + m + 16) in the form g + i*m**2 + z*m and give i.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/3834 and 101\/812808.\nAnswer: 812808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119.6 - 114.6. Let l = -9.06 - -9. Let y = -2.94 + l. Which is the closest to -9? (a) o (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13 + 2 - 2 + 4 + 0 + (1 + 1 - 1)*(2 + 2 - 5) + 2 + 3 - 3 - 2 + 1 - 1 + 3 + 2 - 6 + 1 - 3 + 0)*(91*o**2 - 91*o**2 + 32*o**5).\nAnswer: -416*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7. Let v(w) = w - 1. Let b(t) = 2*l(t) - 4*v(t). Let f(c) = c**3 - 13*c**2 - 17*c + 39. Let d be f(14). Let h be b(d). Solve -5*r = -h*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4530 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 114*d**3 + 11*d - 2475. Let j(s) = 98*s**3 + 9*s - 2475. What is 6*g(z) - 7*j(z)?\nAnswer: -2*z**3 + 3*z + 2475","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*a + 41*a + 198*a.\nAnswer: 389*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y - 100. Let c(m) = -m - 1. What is 5*c(u) + r(u)?\nAnswer: 2*u - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -608\/499?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = d - o, -82*d - 3*o + 18 = -86*d. Solve 12*k + 13 + 47 = d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54728872 and 19901408?\nAnswer: 218915488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s**2 - 8*s - 8. Let h(m) = -m**2 - m - 1. Calculate 24*h(v) - 3*k(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14263 - 398 = 59*b. Suppose 16*p - 59 = -b. Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 20*h**2 - h + 1. Let f be a(-2). Let l be -5 + -4 + 6 - -1*5. Suppose 3*g - f = l*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.1 (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-11)\/(-2))\/(10\/(-2)))\/(106\/(-530)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -63, -48, 3, 102, 261?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 + 11*g**5 - 4*g**4 + 5*g**4 + (-2 - g**2 + 2)*(3 - 3 - 2*g**3).\nAnswer: 13*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 8\/7, -55, -2\/9?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42678?\nAnswer: 2, 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.5059 + 0.4941. Let v = -4 + 3.5. Is v at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22330*a - 22330*a - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = -0*d, 4*h + 3*d + 23 = 0. What is the nearest to -2\/5 in h, 4\/11, 4?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9796671 milligrams to nanograms.\nAnswer: 979667.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 359057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1251 - 1248. Let o = 0.1 + 0.2. Which is the smallest value? (a) -6 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2 - f - 2. Suppose 21 = 4*a + 3*j, -4*a - 5*j + 1 = -10. Suppose -6*n = -a*n + 27. Calculate the remainder when b(4) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7 - 3*h + 2*h + 2. Let p(a) = -4*a + 6. Let y be p(4). Let g be ((-8)\/y)\/((-3)\/15). Give u(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by -27\nAnswer: -31\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1988498669.\nAnswer: 1988498669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 18*j - 56. Calculate d(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -112, -117?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*o, 21*j + 32*j - 49*j + 13*o - 22 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/24 + w**3\/6 - w**2. Determine j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 38262958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 94449.22 rounded to the nearest 1000?\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423679.13 days to weeks.\nAnswer: 60525.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 78. Let d(c) = -c**3 - 17*c**2 - 61*c + 21. Let z be d(-11). Is z at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-50)*5\/(-10))\/1.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, j: 1, t: 5, a: 1, x: 8}. Give prob of sequence at.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 670\/11 + -61. Let h = -52 + 48. Which is the closest to 1? (a) 0 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985*g**3 - 461 - 67*g**2 - 2371*g**3 + 461.\nAnswer: -3356*g**3 - 67*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.612 * 3088\nAnswer: 1889.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -634*k - 4206. What is the hundreds digit of g(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111110011000 (base 2) to base 7.\nAnswer: 32403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/360 + 7*m**5\/120 - m**4\/24 - 7*m**3\/6 - 15*m**2. Let y(k) be the first derivative of h(k). Calculate y(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 6*a = 2*a + 43, 5*a = -3*d + 58 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692617483?\nAnswer: 692617483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34\/25 + -188\/175. Suppose -2*u + 30 = 2*f, 0 = 4*u + 4*f - f - 59. Which is the second biggest value? (a) 0.2 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**3 - 32*l - 8*l - 40*l**3 + 93*l**3 + 40*l.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*u + 33 + 78. Let l be (12\/9)\/((-95)\/33 + u). Which is greater: l or 10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1650 and 2368215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775 is divided by 299?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74835840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -669 in 9, -3\/10, -0.2, 5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**6\/120 - s**5\/30 - s**4\/12 - s**3\/6 - 21*s**2. Let d be y(-2). Suppose -d*w + 2*i - 5 = -24, 4*i - 34 = -2*w. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38938417*-6\nAnswer: 233630502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-64)*(-20)\/(-15)*-4. Let s(z) = 2*z**3 + 7*z**2 + 7*z. Let f(i) = -3*i**3 - 10*i**2 - 10*i. Calculate r*f(j) + 7*s(j).\nAnswer: -j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + 115\/(-25))*10\/(-12). What is the third smallest value in u, 6, 1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6373 divided by -6856?\nAnswer: -6373\/6856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40769 + -148?\nAnswer: -40906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*g + 8248 + 2646 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 26. Let u = 33 - a. Find q such that -169*q**2 + 3*q**4 - q**u + 18*q**3 - 4*q + 223*q**2 + 58*q = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 5. Let j be y(-4). Let q = 197 + -188. Let t be (10\/((-60)\/q))\/(3\/(-4)). Sort t, 5, j, 0.\nAnswer: j, 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d54c + -178?\nAnswer: -d6c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*m, -3*m - 17 = -p - 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 1057 - 3545. Let v = 621 + d. Let z(p) = 4*p - 1. Determine z(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - u**3 + 0*u**3 - 6*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 divided by -321?\nAnswer: -1331\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10549 is divided by 10486.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**6 - 2904*z**5 - 2*z**4 + 16734*z**2.\nAnswer: -120*z**3 - 174240*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6522 (base 10) in base 12?\nAnswer: -3936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06463 - -0.07363. What is the smallest value in o, 0.5, 1, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1003 = -3*v + 4, 0 = 2*d - v - 669. Suppose 0 = 342*z - d*z - 1152. Calculate the least common multiple of 64 and z.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -421726 divided by 1517.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*36\/153?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/((78\/65)\/6)*(-18)\/135?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24427328 to 4 decimal places.\nAnswer: -0.2443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -66616 take away -10694.5?\nAnswer: -55921.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1298 + 0.12986118. Round f to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62886 and 1974?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 + 141. Suppose c = -5*m + 83 + 42. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26475, -53087, -79701, -106317, -132935?\nAnswer: -159555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13125?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 615, 597, 581, 567, 555?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20 - 226*c - 88*c**3 + 226*c + 0 with respect to c.\nAnswer: -264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 158 - l - 80 - 30.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f + 2*f - f + (-1 - f + 1)*(3 + 1 - 3))*(1325 - 670*f**2 - 1325).\nAnswer: 6030*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-56 + 65)\/(124\/123 - 1)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/275 - -841\/2200. Let k = -2.4 + 1.9. Which is the third biggest value? (a) 3\/4 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-316)\/4)\/((3\/198)\/((-231)\/(-126))). Does -9558 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -9 (c) 20\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(2800) + -3*(-1 + sqrt(2800)) - (sqrt(2800) - (1 + sqrt(2800) + -1)))*-6)**2)*4.\nAnswer: -34560*sqrt(7) + 1614112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 1 = -2*g + 5*g, -5*u - 73 = 3*g - 81 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43342 + 823448\/19. Let p(f) = -95*f**3 + f**2 + f - 3. Let s be p(3). Let j = s - -12841\/5. What is the common denominator of l and j?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 828, 3317, 7466, 13275, 20744, 29873?\n\"Answer: 830*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 8. What is t(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1045087 rounded to four decimal places?\nAnswer: -1.1045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8024597 seconds to nanoseconds.\nAnswer: 802459700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbbf when four letters picked without replacement from bfffffffffb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/14 and -117\/9340?\nAnswer: 65380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -254, 5, 2\/3 in descending order.\nAnswer: 5, 2\/3, -2, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001394 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 383645254 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {g: 2, f: 1, h: 2, b: 6, q: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 + 66481*d = 0.\nAnswer: 0, 66481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31988, -63963, -95930, -127889, -159840?\n\"Answer: 4*o**2 - 31987*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7397 and 1469?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*t - 24 = 0, 0 = z - t - 3*t + 3. Suppose z*n + 23 = -37. Find the common denominator of 71\/18 and (-9)\/n*(-236)\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + 3.94. Let l = -0.5 + 0.28. Let y = 0.22 + l. Is y equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8845642 to the nearest integer?\nAnswer: 2974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(608)*-3 + sqrt(608) + sqrt(608) - sqrt(608)) + sqrt(608))*-5)\/((sqrt(70)\/sqrt(5))\/sqrt(7) + -4*sqrt(72)).\nAnswer: -20*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 7. Calculate the remainder when 52 is divided by 112\/6 + (-6)\/x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:21 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 4*o**2 + 3*o**2 + 3 - o + 7*o. Calculate b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 3, o: 2, e: 1, y: 1, r: 3}. What is prob of sequence yk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20771910 and 6923970?\nAnswer: 20771910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14543, 29074, 43605, 58136?\nAnswer: 72667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {r: 3, g: 2, i: 1, v: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 - 7*b**3\/6 - 3*b**2 + 2*b. Let x be l(8). What is the second derivative of 3*p**4 - 7 - 2*p + 7 - x*p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 8:23 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11578\/3331 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 3\/20*p**5 + 1\/4*p**4 + 0*p**3 + 0 + 3*p**2 - 7\/20*p**6 + 0*p. What is y in k(y) = 0?\nAnswer: -2\/7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {u: 1, e: 1, l: 5, v: 6, s: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**3*i**3 + 11*h**2*i**3 + 12*h**2*i**2 - 4*h*i**3 + h - 4*i**3 wrt h?\nAnswer: -24*h*i**3 + 22*i**3 + 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/6, 13, 1\/4, -1\/4, -4 in descending order.\nAnswer: 13, 0.3, 1\/4, 1\/6, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/2 + 353*p**3\/6 - 121*p**2\/6 - 353*p\/6 + 59\/3 = 0.\nAnswer: -118, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 plus 9?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 582506 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**3 + 100*j**2 - 6185*j - 53320 = 0.\nAnswer: -43, -8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 507*o**3 - 110292*o**2 - 5945172*o - 72233568.\nAnswer: 3*(o - 264)*(13*o + 302)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6908534184?\nAnswer: 2, 3, 287855591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/406 - -15231\/812. Let t(l) = l**2 - 7*l + 7. Let s be t(6). Calculate the common denominator of 67\/8 + -1 + s and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23219, -23436, -23785, -24266, -24879, -25624?\nAnswer: -26501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14665522, -14665520, -14665518, -14665516, -14665514, -14665512?\n\"Answer: 2*m - 14665524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a**2 - 5*a - 5. Let t(w) = 22*w**2 + 16*w + 16. Let k(x) = -2*x - 24. Let y be k(-17). Suppose 15 = y*h - 7*h. Determine h*t(z) + 16*o(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:18 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x**2 - 1138*x + 717. What is n(-88)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d + 32. What is the highest common factor of 20 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 39. Let z be t(10). Let u be (-48)\/(-16) + (2 + -1)*z. Suppose 3*g - u + 22 = 0. Let k(j) = -2*j**2 - 10*j - 6. Determine k(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29611228 is divided by 2509?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/(-6) - 2\/3. List the prime factors of (-1 - -3)*44\/w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 12*n**2 - 3. Let b be r(12). Let p be (-40)\/(-25) - b\/(-5). Suppose -5*a + p = -3*c, 3*a + 15 = -2*a - 5*c. Do a and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19105865 is divided by 329411.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*p**4\/17 - 14*p**3 + 52*p**2\/17 + 14*p - 40\/17 = 0. What is p?\nAnswer: -20, -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2133, -2496, -2859, -3222?\n\"Answer: -363*d - 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116805 and 72930.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 132 = -3*s, 6*s - s - 340 = -5*p. Suppose 0 = -5*d + 4*g + 64, 21*g - 12 = 23*g. What is the greatest common divisor of d and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 918.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) - (-10)\/4. Let m(p) = g*p + p - 4*p + 0*p. Let u(v) = -5*v**2. Determine m(u(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10262*h = 10269*h - 217. Solve -h*t = -60*t + 87 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9604, -502, -1.\nAnswer: -9604, -502, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8710 (base 12) in base 9?\nAnswer: -22323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.291 - -0.009. Which is the second biggest value? (a) o (b) -4\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 0*q**5 - 16*q + 0*q**3 + 0*q**2 - 9\/10*q**6 + 29\/12*q**4 + 0. What is the third derivative of o(p) wrt p?\nAnswer: -648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*y = 4*y + 900. What is the third biggest value in 3, -5, y, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**5 - k**3 - k**2 - 1. Let b(c) = 27*c**6 + 5*c**5 + 2*c**3 - c**2 - 7*c + 2. Let i(x) = b(x) + 2*m(x). Find the third derivative of i(s) wrt s.\nAnswer: 3240*s**3 + 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -17. Factor -1 + 12*x**2 + 1 + n*x - 4 - 2*x**2.\nAnswer: 2*(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 - (177 - -9 - 49)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.67555 to 2 dps.\nAnswer: 2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 565769.\nAnswer: 0.2, 2, 565769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/1810 + 68341\/8145. Calculate the common denominator of b and 43\/(-22) + -1 + -1.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*s*v**3 + 235*s*v**2 + 2*s + 15*v**3 + 390*v with respect to s.\nAnswer: 13*v**3 + 235*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, -1, 34, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3225267 - -18?\nAnswer: -3225249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235 - 166?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-36\/7)*s*(s**(3\/19)*s)\/s*s*s)\/(s**(-24))**(-41) assuming s is positive.\nAnswer: s**(-131003\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxyei. What is prob of sequence ei?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/589 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/66 in 0.8, -1, 13324?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42672 divided by -6.\nAnswer: -7112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Suppose f*x + 0*q - 4*q = 4, -2*x - 4*q + 14 = 0. Let k be 5\/3 - (-2)\/6. Solve -k*u + x = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 + 1692 = 2*w + 3*s, -2*w = 5*s - 2344. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 19*p + 66. Give m(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 6. Let i be s(-3). Let k be 48 - (-3 + (i - 0)). Let r(g) = -g**2 + 8*g - 6. Let d be r(6). What is the highest common factor of d and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255337392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 18*c + 11. Calculate j(16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10860 is divided by 99.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + j = 47 - 58, 0 = -5*i - 5*j + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 10*u**2 - 325668*u - 65134 = 0.\nAnswer: -1\/5, 32567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50998415 to the power of 1\/2, to the nearest integer?\nAnswer: 7141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k + 80*k + 190 = 34*k for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 5. Let f be y(4). Let l be -2 + 1 + f - -5. Let r = 1 - 4. Which is the second biggest value? (a) l (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus -42492?\nAnswer: 42473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (5 + -35 - -6) - -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2100 = -130*w + 109*w. What is the least common multiple of w and (-4125)\/(-231) + 2\/14?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 204, 212, 218, 222?\n\"Answer: -v**2 + 11*v + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113990\/41 or -2781?\nAnswer: -2781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 8*o**2 + o + 6. What is a(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by ((-14)\/(-4) - 136\/68)*74.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 - n. Let i(b) = 8*b**3 - 22*b**2 + 86*b - 81. Let m(r) = -i(r) - 5*t(r). Factor m(a).\nAnswer: -3*(a - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 29. Let s(d) = -d**2 - 11*d - 6. Calculate the least common multiple of s(w) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1883\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 6*f - 171. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60706, 121406, 182102, 242794, 303482?\nAnswer: 364166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z = 21*z + 20132. Let j = -9027 + z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/1375 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 s when four letters picked without replacement from sjjjjjsjjjjjjsj?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5 - 2*g - g**3 + 6818*g**2 - 6824*g**2 + 0*g - g. Determine h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 11 (c) -1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = -u. Let s be u - (-3 - 0 - 4). Suppose 0*c + 5*f - 10 = -5*c, -5*c + 14 = f. What is the highest common factor of c and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11827000597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttmt when four letters picked without replacement from ttttttmt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 1\/6*i**4 + 0*i + 1\/60*i**5 + 0*i**3 + 0 + i**2. Factor u(b).\nAnswer: b*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1307 divided by -3.\nAnswer: -1307\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 3. Let n = -20 + 23. Let f(k) = 6*k - 3*k - n*k - 5 - 6*k. Calculate 3*f(o) - 5*u(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1490308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-17 + 1) - 11) + 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n - 42*n**3 + 12*n + 51*n**3 + 0*n wrt n?\nAnswer: 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0*o**6 + 1\/56*o**8 + 0 - o**2 + 0*o**3 + 0*o + 0*o**5 + 1\/4*o**4 + 0*o**7. Find the second derivative of a(d) wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100507441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/15 and 10\/2019.\nAnswer: 10095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569291.\nAnswer: 59, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 235, 510, 905, 1426, 2079?\nAnswer: 2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 361, 339, 315, 289, 261, 231?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 800224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 22 + 15)*(4*o + 2*o - 2*o).\nAnswer: -72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 361965.5ml?\nAnswer: 361.9655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 1, -16, 120, 0.4, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1584) + (sqrt(1584) + 1 + sqrt(1584))*-3 - (2*sqrt(1584)*4 + -1))**2.\nAnswer: 2184*sqrt(11) + 267745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4008721*-0.5.\nAnswer: -2004360.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:47 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - m + 30 = m, 2*s - 1 = -3*m. Is (-6)\/s - (-935)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00109048107 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5 = -98. Let d = 48 - f. Solve -2*g - d = -i - 2, 4*g + 4*i = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64914 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-376)\/(-30) - (-21)\/(-105)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12798284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 - 381*q**2 + 528*q - 258. Let c(a) = -a**3 - 13*a**2 + a. Let t(k) = 9*c(k) - y(k). Factor t(s).\nAnswer: -3*(s - 86)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54.1*-3390\nAnswer: -183399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v + 24. Let b(f) = -13*f - 27. Calculate -5*b(r) - 6*q(r).\nAnswer: -13*r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(1\/6)\/c*c))\/c*c**(2\/5)*(c\/(c*c*c\/((c**(-2)*c*c)\/c)))\/(c\/c**(-7)) assuming c is positive.\nAnswer: c**(-323\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 12:50 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 291, -895.4?\nAnswer: -895.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259631.\nAnswer: 259631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4875229 and 0.56.\nAnswer: 2730128.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -4*q + 24, v - 7*q = -22*q - 1 + 59 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n + 290. Let y be j(72). Solve y*o - 37 = -3*b - 32, -o = -b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3 + 9. Suppose u*c = 4*c - 5. Suppose 5*l + 0*l - c*v = 25, -3*l = 2*v - 10. Solve l*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + sqrt(45) + -4 - ((-2*sqrt(90) + sqrt(90))\/(sqrt(72)\/sqrt(4)))**2.\nAnswer: -10 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -424 - -606. Suppose -3*x + 562 + b = 0. List the prime factors of x.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 p when four letters picked without replacement from mmmmpmpmpppp?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6516*l + 274974 = 6558*l. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106048*a**2 - 184676 wrt a.\nAnswer: 212096*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhhhhhmhmhhhmmhhmh. What is prob of picking 2 h and 2 m?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-330)\/(-550))\/((9\/(-6))\/1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.113174 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3764 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*f - 3*i, -2 = -4*i + 18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -25, -47, -109, -229?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 744159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r + 222. Let i be b(0). Let n = 225 - i. Solve -g - n*d = 13, 4*g = -4*d + 7 - 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-3))\/(4\/6). Let d(s) = -5*s**3 + 3*s**2 + 2*s - 1. List the prime factors of d(g).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/9, -588, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + q = -2 - 2, -2*j - 5*q + 15 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238 + 257. Calculate the remainder when g is divided by (2\/(-4))\/(1\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109496*a**3*x**2 - 9*a**3*x - 40*a**3 - 5*a**2*x - 568*a**2 - a*x**2 - 334*x**4 - 2*x wrt x.\nAnswer: -218992*a**3 - 2*a - 4008*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.008059ml?\nAnswer: 0.006008059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 20832.\nAnswer: 20832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 853.6245 decades in centuries?\nAnswer: 85.36245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-2 + 8 - 4 - (-17 - -15)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from plpplll?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112120212 (base 5) to base 8.\nAnswer: 1731160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -417394*a - 2086975. Give c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -23. Suppose -2*f + 11 = l + f, -l + w*f - 3 = 0. Suppose 0 = -5*q + a + 83, 4*q - 49 = -3*a + 6. Solve 5*c = 2*k + q, 4*k - l*c + 4 = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 25*u = 47, 5*f - 27*u = -30*u - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:19 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405472.6 litres in millilitres?\nAnswer: 405472600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 946 + -842. Calculate the highest common factor of 78 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146205 and 275238.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 s, and 1 q when three letters picked without replacement from {s: 2, q: 3, v: 2, y: 1, l: 4, c: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13488063 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -930 + 933. Sort 2\/15, w, -2\/7, 5 in increasing order.\nAnswer: -2\/7, 2\/15, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -737474, -1474988, -2212510, -2950040, -3687578, -4425124?\nAnswer: -5162678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - (-13)\/(-2). Let q be 4 - 5 - -5 - 2. Let n(x) = 8*x + 1 - 33*x**2 + 2 - q + 34*x**2. What is n(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose 3*b - y*b = 18. Let s(t) = t**3 + 2*t**2 - 2*t. What is the least common multiple of b and s(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/4 - 23*c**4\/2 + 237*c**3\/4 + 43*c**2 - 535*c + 600 = 0. Calculate c.\nAnswer: -3, 2, 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1695 divided by -339.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b**3 + 73*b**3 - 7*b**3.\nAnswer: 103*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/4)\/120*(-70)\/(-5).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 284281377?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-45))\/y)**(5\/2)\/((y**(-22\/7)*y)\/(((y*y**(-46)*y)\/y*y)\/y*y)) assuming y is positive.\nAnswer: y**(512\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667920951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -1711*w**3\/2 - 3813*w**2\/2 + 3755*w. What is the first derivative of y(c) wrt c?\nAnswer: -5133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*n = -8, 5*u - 6*u + 2*n = -6. Suppose 0 = -5*w + 2*w + 15. What is the smallest common multiple of w and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 2*a + 1. Let w be z(2). Find n such that 0*n**w + 8*n**2 + n**5 - 6*n**4 + n**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3)*(-27)\/18. Let k(p) = -4*p + 4. Let l be k(s). Factor l + 2\/7*r**4 + 0*r + 0*r**2 - 2\/7*r**3.\nAnswer: 2*r**3*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 4885.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107\/7 - -15. Calculate the common denominator of 87\/4 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -605*d**3 + 3245*d**2 - 1120*d + 100.\nAnswer: -5*(d - 5)*(11*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4710, 19083, 43018, 76509, 119550, 172135?\n\"Answer: -d**3 + 4787*d**2 + 19*d - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 25 = -5*q. Let b = -62 - -101. Let l be b + -5 - (3 + q). Calculate the highest common factor of l and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9824541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7710 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -128. Let x be ((-24)\/t)\/((-2 - -1)\/(-2)). Factor 0*c + 2\/7*c**x - 8\/7.\nAnswer: 2*(c - 2)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 240 or 2162\/9?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*i**3\/5 + 125128712*i**2\/5 - 62564353*i\/5 + 7820544\/5.\nAnswer: -(i - 7820544)*(4*i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-2*g**3 + 6*g**3 - 2*g**3) + 1 - 1 + 3 + 2*g**3 + (-4*g**2 - 6*g**2 + 4*g**2)*(g + 6*g - 3*g) + g**2 - g**2 + g**3.\nAnswer: -19*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*f + 5*f. Let k(g) = g + 6. Let l be k(-4). Solve -l = v - f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882840819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 139040705860 to the nearest one million.\nAnswer: 139041000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 2*h + 2. Let g be y(0). Is (381\/2 + 1\/g)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = 4*z, 3*z - d - 19 = d. Suppose -z*g = k - 60 - 26, 2*g - 20 = -4*k. What is the lowest common multiple of 8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 5*c**4\/24 + c**3\/3 + c**2 + 9*c. Determine d(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q + 2*q**2 - 5*q + 8*q**2 + 6*q**2 - 4*q**2 + (0 + 0 - 2*q**2)*(1 + 1 - 3) - 44*q - q**2 - 4*q**2 + q**2.\nAnswer: 10*q**2 - 44*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 39*m + 2700. Let x(r) = -4*r - 300. Let d(a) = 2*t(a) + 18*x(a). Let h(c) = 0*c - 3*c - 30*c. Calculate h(d(i)).\nAnswer: -198*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9*(-4 - -1). Let i be -2 + b\/(-4)*4. Is 28 + i + 1 + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*((-5 + (-1 + sqrt(405) - sqrt(405)) - sqrt(405)) + 2 - (sqrt(405) + -6*sqrt(405)*-1 + sqrt(405) + -2)))**2.\nAnswer: -1049888 - 10368*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + 1*sqrt(2) + ((sqrt(18) - sqrt(450)) + sqrt(2))**2 + ((sqrt(48)\/sqrt(3) - sqrt(16))\/sqrt(8) - (-1 + sqrt(8))**2).\nAnswer: 5*sqrt(2) + 232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 15. Suppose 3*d + j*w = 142, -4*d - w + 228 = -4*w. Let n = d + -28. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1206312 - 43?\nAnswer: -1206355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38916000 rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13487 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 32. Let c = -12 - j. Suppose c = -q + z + 3, 0 = q + 4*z - 16. Solve q = -5*p + 5*g, 2*p = -3*p - g - 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - ((-6)\/3 + -2). Let u be (-6)\/9*(-1379982)\/4. Suppose 0 = c*d + 3*j + 92003, -u = 5*d - 2*j - j. Round d to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3783 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: Let o be (-911)\/(-3) + (-1)\/(-3). Let f be 8\/(-20) + o\/10. Suppose 2*d + 4*y - f = 0, 0*y = 3*d - y - 24. Solve 2*z = -z - d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.454 + 3.454. Let d = -2288578667\/1837622265 + -3\/16897676. Let m = 2\/435 - d. What is the third smallest value in m, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1730 + 2925. Calculate the remainder when w is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1376842 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 10 = 4*g, 0 = 3*p - 3*g - 101 + 80 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2 - 2184*n - 55432 = 0. Calculate n.\nAnswer: -1066, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + l + 2*l)*(-3 + 2 - 2)*(5*l - 5*l + 4*l) to the form d*l**2 + y + b*l and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8550*n - 1061242 = 3112*n for n.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1791*d**2 - 1768*d + 27. What is q(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.05 (c) -38\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3697?\nAnswer: 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(20\/(-8) - -4). Let y = v + 91. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 37*p + 177. What is n(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/i**(1\/4))\/(i**(-3)*(i**4\/i)\/i))**(-2\/13) assuming i is positive.\nAnswer: i**(-7\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1761, -0.1, -3, -0.2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*p - 65905 + 66780 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 1, 2\/2501, 14 in descending order.\nAnswer: 14, 1.4, 1, 2\/2501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 3. Let o be q(-4). Suppose -3*k + o = -2. Let c = k + -1. Solve 2*t = -c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - 2)*(-2 - (-24)\/10). Let w(s) = 7*s - 2. Let a(p) = -22*p + 7. Give t*a(n) + 14*w(n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -473 + 490. Suppose l + 153 = 5*k - v, -2*k + 65 = -v. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -20*l + 235 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 - 1) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9202573*z**3 - 27467*z**2 - 4440*z wrt z?\nAnswer: 55215438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -22532232.\nAnswer: -1\/22532232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Suppose c*w = -5*w. Suppose w = 2*z + 3*z + 1500000. Round z to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5150 is divided by 347.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 571, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:50 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4777 is divided by 127.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 38. Let d be 15\/(-6)*o\/20. Let p be (0 - (5 + -2)) + 2. Put d, 4, p in increasing order.\nAnswer: d, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 2*f - 6. Let w be d(3). Suppose 10 = 2*n + 5*m, -5*m - w = n - 11. Solve r - 2*r = 3*p + 9, n*r = 4*p + 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**15*g**(2\/3)*(g*(g**13*g*g)\/g)\/(g*g*g\/(g*g\/(g**(-1\/4)*g)*g)*g))**18 assuming g is positive.\nAnswer: g**(1041\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwq when three letters picked without replacement from wdqw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52088562 to the power of 1\/2, to the nearest integer?\nAnswer: 7217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -4, -1, -5 in descending order.\nAnswer: -1, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 9:25 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2896*f - 31458 = 2889*f. What are the prime factors of f?\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-15) - 2)*((-380)\/30 - -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -18*4\/((5 + -4)*4\/(-32)) is divided by 122?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.519 + 271.519. Let u = -271.282 + x. Round u to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41973490 a multiple of 3965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/2225473 - -2225461\/13352838. Suppose 1\/3*b**3 - h*b**2 + 0*b + 0 - 1\/6*b**4 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1110, -4455, -10036, -17853?\nAnswer: -27906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l + 3 + l + l. Suppose -965*g = -895*g - 280. Give m(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 2*n + 382 = -5*p, 2*n = 2. Suppose 2*k - p = g + 127, k - 125 = -3*g. Calculate the remainder when k is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -512.8 - -513. What is the nearest to -1 in -21, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -132*r + 13 + 66*r - 3*r**2 + 72*r. Let g(v) = -v**2 + 2*v + 4. Let f(p) = p**2 + 4*p - 7. Let a be f(-5). Determine a*x(y) + 7*g(y).\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*c + 6076 - 6365 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89628)\/(-660) + -137 + 6*(32\/15 - 2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 - 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*b - 4*o + 28, 5*o - 25 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 7.98. Let w = -8 - -7.78. Let s = w + u. What is the third biggest value in 0.2, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, k: 3, b: 2}. What is prob of picking 1 z and 3 k?\nAnswer: 13\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 282639814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*f + 588, -x + 0*x = f - 150. Suppose 3*u + 97 = -4*l, -4*u - 4*l = -8*u - x. Sort -3, 2, u in decreasing order.\nAnswer: 2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -17.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -29 in ascending order.\nAnswer: -29, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 524419997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3 + 69*f**5 - 454231 - 312*f**2 + 454231 wrt f.\nAnswer: 4140*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -23*a**3 - 14*a**2 + 7*a - 3. Let o(z) = 12*z**3 + 7*z**2 - 4*z + 2. Determine -4*i(n) - 7*o(n).\nAnswer: 8*n**3 + 7*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 89*q**2 - q - 1. Suppose -4*v + 7 = -2*f - 15, 3*v - 12 = -3*f. Let d be m(f). Let c = 208 - d. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 31 - 2*t + 10 - 103 + 26. Let v be l(-9). Suppose 2*a = -2*a - 76. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3037, -7321, -14399, -24271, -36937, -52397, -70651?\n\"Answer: -1397*g**2 - 93*g - 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, 1, -3, 3, -401, -5 in increasing order.\nAnswer: -401, -5, -3, 1, 3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*c**3 - c**3 + 27*c**3 - 59*c**3.\nAnswer: -92*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 16}. What is prob of picking 3 i?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 551417, 1102781, 1654145, 2205509, 2756873, 3308237?\n\"Answer: 551364*i + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16763 (base 9) to base 15\nAnswer: -3659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6887 at most as big as -6922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -3 - 1\/4*j**4 + 0*j**3 + 7*j + 0*j**2. Differentiate o(a) wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -309.357 and -0.4.\nAnswer: -309.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 555861 and 25854?\nAnswer: 1111722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038.6 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 16*a + 3 + 7.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/196905?\nAnswer: 2\/196905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43506629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0101128882 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 10, -3*u = 2*a - 4*a - 19. What is the third biggest value in -0.01, 7\/4, u?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96398007 and 849.\nAnswer: 96398007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/133400 and 73\/235800.\nAnswer: 157278600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252036 is divided by 50357?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*0*(-3)\/12. Let w(d) = -d**3 - d**2 + d + 4. Determine w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 2*a + 20. What is the units digit of g(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*p = -2*p + 37, -p = 0. What is the remainder when 146 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1307 divide 829729345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 9:08 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19123 - 11410. Does 35 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 3*p**2 + 57*p - 9. List the prime factors of m(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115000)\/1518)\/100*11?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 23*j - 7. Let m be g(-12). Suppose 22 = m*z - 28. Calculate the lowest common multiple of z and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49300 = -42933*q + 45398*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:42 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 1:02 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -41) + 9\/(-3). Calculate the highest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x - 33. Let g be s(0). Does 32 divide (-2320)\/(-55) + 6\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 4*m - 5. What is the tens digit of v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62369*o**2 + 62367*o**2 - 159 + 159 + 6*o**3.\nAnswer: 6*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1944671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -99 + 5 + -15 + (25 - -5) + -10\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*x - 2*y, 3 + 3 = -5*x + 4*y. Let o(k) = -k. Let l(h) = h - 3 + 3. Determine x*o(g) + 5*l(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdbb when four letters picked without replacement from uzdybdzxb?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21830.\nAnswer: 2, 5, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44029 or -44023?\nAnswer: -44029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643.855266 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 o when four letters picked without replacement from yyoyooyf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 + 5*j + 3. Let l(w) = 9771 - 9*w**2 + 9778 - 19554 - 9*w. What is 4*l(q) + 7*v(q)?\nAnswer: -q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 + 10 = 0. Let b(r) = -r**3 - 3*r**2 - 2*r - 4. Let k be b(m). Solve -3*t - t - 8 = -k*w, -5*w + 2*t = 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(-1 - 0) - 2. Suppose -l - v - 1 = -0*v, i*l + 4*v = 0. Solve m - 16 = l*a - 0*a, 4*m = -2*a - 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95*9\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*u - 55, 2*u - u + 35 = 4*g. Suppose 0 = -3*t + 116 + 58. Suppose 3*j - t = j. What is the remainder when j is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650476 divided by 2?\nAnswer: 325238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*m - 118*m = -208*m + 126 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*t - 70*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x + 22 = -36*x + 3*f, -5*x + 2*f - 33 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-32) - 4077\/(-24) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 47 = -2*v, -2 = 2*d - 12. Sort 1, -1, -2, v.\nAnswer: -2, -1, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) -9 (c) -0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + r + 3 + ((6*r - 4*r - r)*(7 - 3 - 2) + 6*r - 3*r - 2*r)*(4 - 2 + 0))*(-4 + 4 - 2*r).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 197\/4, -275, 0.2, 1\/10, -1\/6, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, s: 6}. Give prob of picking 1 s and 1 k.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 9*s**2 - 4*s + 19. Let w be d(4). Suppose -8 = -f - 5*c + 20, -5*c = 5*f - 40. Solve -5*v = f*m - w, 0*m - 2*v + 10 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32173357.\nAnswer: 139, 231463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114 * 109288.\nAnswer: -12458832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-68*336\/(-952).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 + 27*h**2 - 15*h - 14. Let d be b(-14). What is the units digit of (628\/(-4))\/((0 - d) + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*d**3 - 21\/2*d**2 + 24 - 12*d.\nAnswer: -3*(d - 1)*(d + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(4\/(-2))*1. Suppose -3*j - 2*x + 58 = 0, -2*j + 3*x + 0 + 30 = 0. Let f be 1*(3 + (-57)\/j). Is g > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = y + 2*y. Let q be (-5)\/y*4\/19. Which is the biggest value? (a) 0.1 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -495 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 320, 1099, 2618, 5123?\n\"Answer: 41*j**3 + j**2 - 5*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -8 (b) 1\/7 (c) 0.5 (d) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 1. Let s be u(-2). Find k such that 3*k**2 + 2*k + k - s*k**3 - 2*k**2 - 2 + k**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 (base 11) in base 16?\nAnswer: 1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1272338151 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 38236 (b) 3 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s + 27. Determine x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1784)\/(-88) + -6 + (-378)\/(-66).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13629, -27259, -40889, -54519, -68149?\nAnswer: -81779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3454 divided by 157?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 16*k + 91. Is i(-18) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57364.8um to millimeters.\nAnswer: 57.3648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 295*l - 9938. Determine p(34).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 436937578 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89051857?\nAnswer: 3539, 25163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 26*i - 15*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*l**3 - 272*f*l**2 - 30*l**4 - 2*l**3 + 7*l**2 wrt l?\nAnswer: 6*f - 720*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756080853.\nAnswer: 3, 11, 113, 202757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 14)*(-6*a + 15*a + 12*a).\nAnswer: 294*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 0.0159806?\nAnswer: 0.1159806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101221202220100 + -2101?\nAnswer: -101221202222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xff when three letters picked without replacement from {f: 9, x: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0. Is 4 a factor of 1 + g - (-7 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 67603 and -0.439431352.\nAnswer: 67602.560568648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-12)*(-366)\/(-61).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 107*w + 3. Let s be (-11)\/(-9) - 3*2\/27. Is f(s) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = 19*t + 423 + 559 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 + 388 = 280*p - 267 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 424634*n + 424632*n - 849272*n. Let l(c) = -1193*c. Give l(f(w)).\nAnswer: 7158*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1690.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -34\/3, -4 in decreasing order.\nAnswer: 1\/10, -4, -34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g, 5*m - 20 = 12*g - 7*g. Let p(x) = 2*x**2 - 10*x + 10. Let a be p(m). Solve -a*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*d - 16, 2*o - 29 = -3*o - 4*d - 103 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.206+-0.106366\nAnswer: -0.312366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {e: 11, b: 9}.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/881647 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2010402041 - 3?\nAnswer: 2010402033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18894, -19000, -19106?\n\"Answer: -106*h - 18788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10488 and 4913628?\nAnswer: 9827256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320334 + -50515?\nAnswer: 225415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/11940 and -139\/93780?\nAnswer: 18662220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 31. What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 304352*v + 31663424.\nAnswer: -(v - 104)*(v + 304456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0*b**2 - 1\/2*b**6 - 1\/4*b**5 + 0 + 5\/6*b**4 + 0*b**3 - 31*b. Factor q(j).\nAnswer: -5*j**2*(j + 1)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -278, -285, -294, -305, -318, -333, -350?\n\"Answer: -r**2 - 4*r - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5816111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194\/45 + -34\/9. Find l such that -n*l**2 - 2\/15 + 8\/15*l = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/9)\/n)\/n)\/n**4)\/(n**(-1\/6)\/(n\/n**5))*((n**(2\/5)*n)**(-9))**(-22\/7) assuming n is positive.\nAnswer: n**(2659\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12 - (-132)\/(-18)*-852?\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31103132 (base 5) in base 12?\nAnswer: 102886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338828 is divided by 84705?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -30. Suppose 4*k = -6 + 26. Solve -u = k*p - 0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, 137, -32, -5 in ascending order.\nAnswer: -32, -5, -4, -2, 3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jllv when four letters picked without replacement from {l: 2, j: 2, v: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31100438269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + sqrt(1300) + (-3*sqrt(1300))**2)*2 - (0 + (sqrt(1300) + -1)**2))*6.\nAnswer: 360*sqrt(13) + 132594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004053110514 to six dps.\nAnswer: -0.004053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 200, 202, 206?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5260900 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:20 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/494 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0848 and 4.\nAnswer: 4.0848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5 + 10*t**4 + 5*t**3 - 100*t**2 + 84*t = 0.\nAnswer: -7, -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 - 1) - (-24)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Let c = 301 - 141. Suppose 6*q = 3*q + o, 5*u = -5*q + c. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*(-18)\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*y - h + 90, 77 = 4*y + 3*h. Suppose -2*f - o = -y + 5, 4*f = -5*o + 30. Solve -5*d = 5*g - f, -2*d - d - 2 = -2*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 27 + 15. Suppose i*w - 9*w = -l - 2069, 3*l + 3451 = 5*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 15*k - 21. Let l be f(-16). Let j be (l\/6)\/((-1)\/6). Solve -w + 4 - 8 = 3*o, 6 = j*w + 2*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410 bigger than 2410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 3 (c) -2\/57 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83592, 83590, 83586, 83580, 83572?\nAnswer: 83562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860655583 to the power of 1\/3, to the nearest integer?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 1. Let z(k) = 2*k**2 - 3*k - 3. Let l(t) = 2*t - 9. Let x be l(6). Let v(r) = x*j(r) - z(r). Let w(a) = 6*a. Determine w(v(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*i + 135 = 280*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 172 + 16*j + 6*j**4 - 3*j**2 + 9*j**3 - 175 - 25*j.\nAnswer: 3*(j - 1)*(j + 1)**2*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-3)\/(18\/(-12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 14) to base 15.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14*o**2 + 18*o - 9. Let h(d) = 6*d**2 + 8*d - 4. Let j(k) = -9*h(k) + 4*u(k). Let n(c) = -c**2 + 24*c. Determine n(j(x)).\nAnswer: -4*x**4 + 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*3 + (sqrt(7) - (-5 + sqrt(252))) - (sqrt(84)*1*-5)\/(sqrt(48)\/sqrt(100)).\nAnswer: 5 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000149554 rounded to 6 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1401.4 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10632 is divided by 217.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310195108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4152 is divided by 1013?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*o + 8*o - 117, 4*o + 12 = 0. Suppose -3*p = -4*f + 130, -2*p - 2*p - l = -4*f. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Suppose -500 + 512 = 2*f. Calculate v(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 337115812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 4\/2601107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 203*l*m**3 - 8*l*m**2*r - 4545*l*m*r + 2*l*m - 78*m**3*r + 28*m*r wrt m?\nAnswer: 1218*l*m - 16*l*r - 468*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-771)\/(-15) - -2 - (1\/20)\/((-308)\/(-2464)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, c: 9, a: 2}. What is prob of sequence amc?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -100, -99, -98, -97, -96?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (-5 - (3 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1\/q*q)**(-2\/23)\/((((q\/(q*q**(2\/9)*q)*q*q*q)\/q*q)\/q*q)\/(q*(q*q*q*q**3*q)\/q)))\/((q\/q**(-1\/11))\/(q\/(q*q**(2\/9))))**(-50) assuming q is positive.\nAnswer: q**(53731\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 14*x + 20. Let u(b) = 3*b + 21. List the prime factors of u(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:39 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9436\/(-67400))\/((-14)\/(-8)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = 5*m - 96. Solve 0*v - v = m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 727\/30 + -143\/6. Is -2\/507 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-21.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3551730 and 208?\nAnswer: 28413840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001441499 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -31*z**3 - 43*z**2. Let v(o) = 8*o**3 + 11*o**2. Let c(m) = -2*r(m) - 9*v(m). What is the third derivative of c(l) wrt l?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1844*y - 1 - 1826*y + 3.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**6\/360 - g**5\/60 - 3*g**4\/8 - 10*g**3\/3 - 14. Let y(v) be the third derivative of w(v). Does 6 divide y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -176\/21, 21.87 in ascending order.\nAnswer: -176\/21, -2\/5, 21.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8389 and 0.2778129831.\nAnswer: -8388.7221870169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46576*r + 46576*r - 5452 - 5460 + 10898 + 3*r**3.\nAnswer: 3*r**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 6, n: 11}. What is prob of sequence zny?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j = -4*l + 12787, j + 6395 = 2*l. Suppose -1614 = -2*c + 5*v, 2*c + 5*v - l = -2*c. Let d = -121 + c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouooo. What is prob of sequence uoou?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a - 86*a**3 + 49*a**3 + 50*a**3 in the form h + q*a**2 + s*a**3 + j*a and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26802 is divided by 1116?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 + 3*l**2 - 2*l - 4. Let g(s) = -4*s**3 + 2*s**2 - 2*s - 3. Suppose 0 = 5*o + 4*j - 10, 4*o - 2*j - 8 = -6*j. What is o*t(i) - 3*g(i)?\nAnswer: 2*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x + 59. Let k be p(-4). Let z be 3\/(-9) + 8\/6. Suppose f - 4*h = 4*f + z, k*h = f + 9. What is the biggest value in 1, 0, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*2*4 + sqrt(153)*2*-6)\/((sqrt(72) + -2*sqrt(72)*6 + sqrt(72) - sqrt(72))\/((sqrt(8) - sqrt(16)\/sqrt(2))*6 + sqrt(8))))**2.\nAnswer: 272\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxqdxxxxxqxx. What is prob of sequence qd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 299.85?\nAnswer: -320.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8041 divided by 487.\nAnswer: -8041\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4, 0, -27048, 5, -7 in decreasing order.\nAnswer: 5, 4, 1, 0, -4, -7, -27048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 40 - (147 + -190).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 1 + 1, -l = g - 3. Let h be (-7 - -6)\/(g\/(-3)). Solve h*n - 4*y - 23 = 0, -n - 3*y + 14 = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14063, 28178, 42293, 56408?\nAnswer: 70523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179 + 231. Suppose -75 = g - 6*g. Let s = k - g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9450 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from ccvvv?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*g + u, -5*u + 1 = 2*g - 3. Suppose 8 = 2*m - v, -4 = 8*m - 9*m - v. Calculate the remainder when m is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 + (65 - 62). Let l(y) be the first derivative of -5\/4*y**4 + 0*y**2 + 0*y - 15 + y**d + 0*y**3. What is j in l(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:45 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001229061 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (-10)\/(-40). Suppose 6*z + 0*z - 1608 = o. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlx when three letters picked without replacement from {x: 1, r: 1, p: 1, l: 1, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7823419 years to months.\nAnswer: 9.3881028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 385 - 190 - 2638*n - 195 in the form k + m*n and give m.\nAnswer: -2638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2 and 13\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/12 (b) -26\/67 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -404 - -419. Calculate the greatest common divisor of v and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 50*r + 2. Let w(j) = -j - 1. Determine v(x) + 2*w(x).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 27. Calculate the remainder when 409 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 22*z + 124. Let b be j(-25). Suppose b = 4*t - 931. Calculate the highest common factor of 147 and t.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i**2 + 149*i + 4*i**4 - 2*i**3 - 14*i**4 + 6*i**5 - 153*i = 0. What is i?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 35.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 14, -0.3, 0.01, 0.5, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, 0.58, -1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1521*p + 132*p + 1088*p - 333*p.\nAnswer: 2408*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2797578399 to 2 dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 179*r + 10931. Determine o(-61).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**1*w))**(-24))**(-32\/5) assuming w is positive.\nAnswer: w**(-768\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(2876\/(-720) - -4). What is x rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92348, -92356, -92368, -92384, -92404, -92428?\nAnswer: -92456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -20*p + 19. Let j(l) = 2*l. Calculate -5*j(y) - v(y).\nAnswer: 10*y - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 29676a (base 16) to base 10\nAnswer: 2713450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 16*s - 65. Calculate q(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -377\/5. Let d(g) = g**2 + 16*g - 18. Let y be d(-17). Which is the closest to f? (a) 0.1 (b) y (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-15) - 1)*3*2. Let q = v - -24. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25*((-4 - 0) + 5). Suppose -2*m - 2*r + 223 = -r, 5*r = c. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 7927*z - 55418. Determine x(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - q. Let u = -21 - -22. Let h(t) = t**3 + t**2 + t. What is u*m(g) + h(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(3200))*-1 + sqrt(3200) + -3 + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56551 = -668*c - 9766 - 5293 + 44012 for c.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j*j**(-3\/2)))**(-40))**9)**(2\/11) assuming j is positive.\nAnswer: j**(-1800\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -29. Suppose -4*c - 65516 = -0*p + h*p, 5*p - c + 65496 = 0. Round p to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16 + 15)*(26 + 0). Does 16 divide ((-40)\/(-6) - 0)\/(b\/(-312))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 99, 236, 437, 708, 1055?\n\"Answer: b**3 + 23*b**2 + 3*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -505 (b) -12 (c) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -3 (c) 6 (d) -0.8 (e) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*k**4 - 10\/3*k**2 + 2*k + 2\/3*k**3 + 0 = 0 for k.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2320 - -2326. Suppose 2*j - 5*i = 281, 3*j + 2*j + 4*i = 752. What is the remainder when j is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 412 and 8?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28 - 28 - 9*i**5 - 2*i**5 + 2*i**5 + i**5 + 3*i**3 + 2*i**5 - 3*i**3 + (4*i**3 - i**3 - 2*i**3)*(-2 + 2 + 2*i**2) + 2 - 2 - i**5.\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 148. Suppose 0*p = -99*p + 472 + 4478. Determine q(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 - -4)\/(10\/(60\/(-9))). Suppose u = -t + 25. What is the lowest common multiple of u and ((-6)\/(-4))\/((-3)\/(-30))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 7. Suppose 0 = -4*p - x - 15, -x = 2*p - 4*x + 11. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*t = -5, -k = 5*t - t - 21. Find the first derivative of -10*s + 112 - 14*s - k*s + 32*s + 4*s**3 wrt s.\nAnswer: 12*s**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*u = 2, -l = u - 17 + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 54*g + 2513. Determine a(-51).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37356 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-7)\/(14\/30). Let x be ((-88)\/(-4))\/((-8)\/c). Let m = -23 + x. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -43, -101, -183, -289, -419, -573?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Suppose 8 = 4*f - 5*w - g, 2*w = 4*f - 2. Is f < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72033 + 1652?\nAnswer: -70271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12699*h + 5296 = -419532 - 83132 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 15. Let q = v - -13. What is the fourth smallest value in q, 1\/9, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.59 - 0.41. Let g = 0.4 - 0.2. Let z = g - 0.7. Sort 0, z, f in ascending order.\nAnswer: f, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -57, -0.5, -3, 2?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.1076ug to kilograms.\nAnswer: 0.0000000111076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36656 - 4059. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7193 = 2*z + 3*s, -23*s = -3*z - 20*s + 10812. Let r(b) = -1402*b + 1. Let c be r(1). Let l = z + c. What is l rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*h**2 + 26*h**2 + 114*h**2 - 78*h**2)*(h**2 - 2*h**2 - 2*h**2).\nAnswer: -519*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.672944 to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Let i(o) = -4*o - 5. Let d be i(-4). Solve -3*j = g - d, -s - 11 = -g - 4*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*d**2 - 8780 - 8801 + 17581.\nAnswer: -397*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34431 divided by -817?\nAnswer: 34431\/817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/8 in -1, -0.07, -0.42?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.5 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -37*d**4\/12 + 53*d**3\/2 - 48*d**2. Is 28 a factor of t(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*g - 12, 205*g - 209*g + 12 = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/2215 (b) 2114 (c) -2 (d) -1\/2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vviv when four letters picked without replacement from {i: 4, v: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/19 - 28*b**2\/19 - 14*b\/19 + 156\/19.\nAnswer: -2*(b - 2)*(b + 3)*(b + 13)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15217326.87 plus -0.1?\nAnswer: -15217326.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -227, -338, -449, -560?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -6 (b) -5 (c) -7 (d) -3\/7 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.04 - 14.1. What is b rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2 - 2 - s**2. Let w(o) be the third derivative of 7*o**5\/30 + 2702*o**2 + 1. Determine g(w(k)).\nAnswer: -196*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b + 5*b + 0*b + 848 = 0. Let l(q) = -q**2 - 18*q - 31. Calculate l(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 2489, 8620, 20561, 40250?\nAnswer: 69625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 + 68. Which is the closest to -0.1? (a) -1 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 + 9*j + 10. Let x(r) = 5*r - 136. Let p be x(27). What is the units digit of y(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6979 is divided by 155.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (6 - (2 + 1))*9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**7\/1680 - q**6\/240 + q**5\/120 + q**3\/3 - 12*q**2. Let p(w) be the first derivative of t(w). Let p(i) = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(77) + 1*sqrt(77) - sqrt(77))*-3 - sqrt(77) - sqrt(77))\/(sqrt(21)\/sqrt(48)).\nAnswer: -20*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 55. Suppose d = b + 2*b. Solve -5*o - 4*l + 14 = 0, l - 3 = -b*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 2*r**3 + 20*r**4 - 23*r**3 + 5*r**3 - 21*r**4 - 4 in the form u*r + p*r**2 + i*r**3 + s*r**4 + f and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127998582.\nAnswer: 2, 3, 21333097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30016 is divided by 7836?\nAnswer: 6508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*p**4 + 4\/3*p**2 + 0 + 0*p - 2*p**5 + 2*p**3 = 0. What is p?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-657)\/146)\/(-7 + 358\/40).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - (75 + -151 + 28).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 33. What is the remainder when i(-5) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 184, 801, 1828, 3265, 5112?\n\"Answer: 205*t**2 + 2*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*t + 32 - 275. Is -6 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/(-14) - (-10)\/35. Let b(w) = 116*w**2 + w + 5. Let p be b(y). Let h = p - 465. What is h rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.4, -44, -14\/9 in increasing order.\nAnswer: -44, -14\/9, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 414 - 2*v - 414. Let l(i) = i + 5 - 5. What is q(l(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/34163, 3\/8, 2?\nAnswer: 1\/34163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3256 + -1903. Suppose 0 = -9*j - 75 + n. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-12)\/(-54)). Suppose -131 = -2*y - 0*y - b*v, -v = -3*y + 213. Calculate the greatest common factor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7787*v - 3885*v - 548584 = 0 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.8 in -33, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 8*o**2 + 7*o - 1. Let i be k(7). Let w = 5555\/69 - 241\/3. Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 - (-1 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16076 is divided by 209.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -45 (b) 1\/9 (c) 106.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 + -12.2. Let a = -9.9 - r. Is a >= -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 29 + 12 = 0. Let r be 18\/117 + h\/13. Let v = 1 - r. Solve -8 = 3*m + 2*c, -3*m - v*c - 1 = 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102221903 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 21715*r - 130144. Give z(6).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 + k**2 - k**2. Let q(d) be the first derivative of 4*d**2 - 64. Give q(x(r)).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2\/5 - 9860444*p\/5 + 29581323\/5 = 0?\nAnswer: 3, 9860441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*x - 8 = 0, -6 = -5*y - 4*x + 4. Let 1\/3*n**y + 0 - n = 0. Calculate n.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12582 + 48821\/4. Let k = 376 + q. Which is the closest to -1\/3? (a) k (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 782, 1913, 3686, 6215, 9614, 13997?\nAnswer: 19478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 + 4 = 0. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -468460 + -317421.7374\nAnswer: -785881.7374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75118562*k**2 + 47328364 wrt k?\nAnswer: -150237124*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)\/a)\/a)**15\/(a*a*a\/(a*a**1))**16 assuming a is positive.\nAnswer: a**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 1.13.\nAnswer: 14.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 4*n**2 + 3*n. Let d = 26 + -16. Suppose d = 5*r - 7*r. Let p be m(r). Calculate the greatest common factor of p and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 29*r - 3*l - 3, 4*l - 62 = -5*r. Let t(j) be the first derivative of -j**3\/3 + 27*j**2\/2 + 7*j - 1. What is the units digit of t(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 2432\/(-680)) + 1044\/435?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.036 in 2\/29, -1\/2, -0.04?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3845961325?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85.3 + -98.3. Which is the closest to 0? (a) 0.06 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l)**(-47)*(l*l**(-9))\/(l\/(((l*(l\/l**(-4\/5))\/l)\/l*l*l*l)\/l)))**(-47) assuming l is positive.\nAnswer: l**(-20633\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 273.4 + 10.6. Let y = -804080.6699757 + 804364.67. Let m = z - y. Round m to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 - -2. Let w = -1042\/9 - -116. Sort l, 0.2, w in decreasing order.\nAnswer: w, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose -10 = -5*o - 2*y, -4*o - 2*y = s*y + 4. Solve 10*h + 5 = 5*h + 5*p, -6 = o*h - 5*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 27 = -23 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42251733766830 - -42251802283521.0000084. Let z = -68516671 + c. Let u = z - 20. What is u rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -49?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.005 (c) -44 (d) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38437 - -1871. Suppose -5*b + 14692 = -a. What is b rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.05, -343, -1 in descending order.\nAnswer: 0.05, -1, -5, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*m + 117*m - 125 = 0. Solve -1 = -2*n + 1, -1 = 2*d + m*n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 56 = -2*j. Let u be (-1482)\/(-14) + 8\/j. Let x = u - 106. Which is the closest to -0.1? (a) -3 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f = 54. Solve -q = -p - 2, p + 3*q - f = -q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 2}. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-33)*(-12)\/(-16)*6\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 + -148. Sort 10, 0, u.\nAnswer: 0, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - -0.4. Let q = -4.802 - 0.198. Which is the third smallest value? (a) 4 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -595, -596, -597, -598, -599?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + ((sqrt(128)*-1*-2)**2 - (sqrt(128)*-1 + 1)**2)).\nAnswer: 16*sqrt(2) + 386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0451 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q - 70 = -32*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 2*t**2 + t**2)*(-2 + 2 + 2)*(-t + 6*t - 3*t) + (10*t + 6 - 6)*(-3 + 10*t**2 + 3) + 4*t**3 - 4*t**3 - t**3.\nAnswer: 107*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -119, -1, 16 in descending order.\nAnswer: 18, 16, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/39 in -39.06, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 + 478216*l**2\/5 + 28722122042*l\/5 + 3243321514308.\nAnswer: 2*(l + 570)*(l + 119269)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1093, 4504 in increasing order.\nAnswer: -4, -2, 1093, 4504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 - 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3118 + 3120. Which is the closest to x? (a) 2\/11 (b) -1\/7 (c) 1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -12ae2 (base 15) to base 6.\nAnswer: -1141005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 91*b**3 - 3*b**2 - 3*b - 10. What is j(-2)?\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419677 is divided by 15541.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 15, 29, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56335250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -85, 60, 263, 524?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120262764*j**3 - 238044*j**2 - 112 wrt j.\nAnswer: -721576584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 10432.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1566 - 1565.9996835. What is s rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -293, -295, -297?\n\"Answer: -2*q - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 29 - (0 + 2 - 9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/((-1)\/3*3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 101101010?\nAnswer: 101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 1. Let t(o) = 2 + o + 0*o - 5. Let j be t(5). Let c be m(j). Solve -c*a = -a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 146. Suppose 39*w = n*w. Solve 0 = 2*i - v - w + 2, 0 = -5*i - v - 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -127 + 1 + 2. Let n = 129 + z. Suppose 0*l - 5*l = -20. Solve -6*v + l*v - 2*p + 14 = 0, 2*v = -n*p + 29 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -4 + 5 + (-3 + (sqrt(68) - sqrt(17)))*-6)**2.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 6 = -10*m. Let b(t) = t**3 - 3*t**2 + 2*t - 2. Let s be b(m). Is -1 - 90\/(-1)*s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d. Let j(x) = x. Let m(t) = -6*i(t) - 11*j(t). Let s(q) be the first derivative of q**3\/3 + 46. Calculate s(m(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1085 + -761. Is 54\/z + 267905\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147923 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5128?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 4*y + 5*y)*(-162 - 52 - 122).\nAnswer: 336*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*d + d - 4*a - 100, -2*d + a = -15 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2556*q**4 + 2143677*q**3 + 450199608*q**2 + 307081329*q + 5266830 = 0.\nAnswer: -419, -2\/3, -5\/284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/60 - 13*r**4\/12 - 13*r**3\/3 - 2*r**2 + 203*r. Determine c(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137514 or -136738?\nAnswer: -137514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -25*t**5 + 610*t**4 - 815*t**3 + 230*t**2 = 0.\nAnswer: 0, 2\/5, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109483 or 109481?\nAnswer: 109483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -239*a**3*r**2 - 2*a**3 + 3522*a**2 + 117*a*r**3 - 401*r wrt r.\nAnswer: -478*a**3 + 702*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - -12. Let j = h - 40. What is the tens digit of j\/2 - (-2 - 69)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1400)\/224*8\/(-10) + (-16)\/24?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -399 - 24*q + 791 - 399 to the form j + w*q and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 55*t**2 + 20*t - 71. Let j be o(-28). What is the greatest common factor of 136 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose -18 = -5*b + 4*n, -b - 5*n - 14 = -6. Suppose 0 = -b*s - 3*f + 15, -s + 5*f - 25 = -5*s. Solve -4 + s = -k*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 2*d**2. Let v(c) = 12*c**3 - c**2 + c - 3. Give 2*o(r) - v(r).\nAnswer: -8*r**3 - 3*r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, l: 17}. What is prob of sequence ll?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 110001110110100100 (base 2) to base 4\nAnswer: 301312210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 5, t: 8}. What is prob of picking 2 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 5. Let w = -106\/3 - f. Which is the closest to 2? (a) 4 (b) 1\/10 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/2)\/v)\/v*v*v*v\/(v\/(v**4*v))*(v\/(v\/((v\/(v\/v**(-2\/5)))\/v)))**40)**(3\/5) assuming v is positive.\nAnswer: v**(-297\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2293 greater than -2292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 169088 and 768?\nAnswer: 1014528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 29 + 13. Solve -w = -5*p - 31*c + 34*c, 3*c + 12 = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(108) - (sqrt(108) + -2*sqrt(108))) + sqrt(108))**2.\nAnswer: 72*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(y - 4*y + 2*y)*(-4341 + 4341 - 43*y).\nAnswer: -43*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:28 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -387.3 + 387. Suppose 2*u - 74 = 2*b + 3*b, -5*b + 150 = 5*u. Let k be (-18)\/u*4\/(-6). What is the closest to h in k, 2, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -50195\/4 (b) 2\/7 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -463*u - 39. Let r be w(-1). Calculate the highest common divisor of 64 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2 - 2 + (-2 - 1 + 1)*(2 - 2 - 2))*(-3*p**3 + 9*p**3 + p**3).\nAnswer: -77*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24283251 is divided by 237?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 + 981*s**2 - 683*s - 96179. Give z(326).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*c - 5*v, -4*c = -14*v + 15*v - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -653*b**2*f**3 - 14*b**2*f**2 + 17*b**2 wrt f.\nAnswer: -3918*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -29. Solve -5*a + i*a = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3)*3)\/((-2)\/4). Is -7 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 3 - 2\/15*u**3 + 0*u + 1\/10*u**4 + 0*u**2. Suppose a(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0493 - 0.9507. Let g = -1982\/11 + 180. Are x and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahh when three letters picked without replacement from {j: 9, v: 2, a: 4, o: 1, h: 4}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**4\/24 - x**3\/2 - 2*x**2 + 118*x. Calculate h(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from gzizzizgzdcg?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 12*t + 16. Let r be u(11). Let s be (-100)\/r*(0 - 1). Let l(z) = z**3 + 13*z**2 - z - 5. Let g be l(-13). Solve g*w + s = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-33)\/((-5148)\/(-208)) + (-834)\/(-18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 1 - 8. Let h(u) = u**2 + 8*u + 10. Let k be h(l). Suppose -k*v + 4*v - 9 = 0. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 313*y - 159*y - 153*y - 2.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 6:00 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9*c = -6. Let d(h) = -h + 1. Let z(q) = -3*q**2 - 6*q + 10. Let a(o) = c*z(o) - 6*d(o). Find the first derivative of a(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3785.4ml to litres.\nAnswer: 3.7854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -746, -1493, -2240, -2987?\n\"Answer: -747*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 980*f**4 + 15688*f**3 - 53772*f**2 + 36800*f + 304 = 0.\nAnswer: -19, -2\/245, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.595 + 40.505. Let l = n - -0.9. Let d = l + -42.000232. Round d to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4978832482 rounded to five decimal places?\nAnswer: -0.49788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-8))\/((-1)\/4). Suppose 0 = l*q + 4*d - 9 + 3, 2*d = -q. What is the second derivative of 0*f**2 + 2*f + f**3 + f**2 - f**q wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - 7) + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 213*d**2 + 19*d + 11. What is the remainder when l(-2) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 349*u - 45. What are the prime factors of y(1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-6)*(1 + (1 - (-14)\/(-21)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22513 by 1.\nAnswer: 22513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221759 = -5*n - 300*o + 298*o, -n = 4*o - 44359. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmhf when four letters picked without replacement from {a: 1, m: 2, f: 3, h: 7, q: 5}.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27377, 27176, 26977, 26780, 26585?\nAnswer: 26392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - -53.91. Let w = 54.01 - f. Sort 5, 2, w.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1818 and 9898.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5250 and 255550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = 4. Suppose 2*v = 4*w - f*w + 2, -5*w = 4*v - 13. Suppose -7*t + v*t + 40 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391686681 to the nearest integer?\nAnswer: 19791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136648693?\nAnswer: 47, 2907419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*(22 - 1)\/(-1). Let i(y) be the third derivative of -y**5\/60 + 5*y**4\/24 + 17*y**3\/6 - 16*y**2. Let h be i(p). Sort h, 4, 0 in ascending order.\nAnswer: 0, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 3*p**2 - 9*p. Let r(k) = -2*k**3 + 5*k**2 + 14*k. Suppose -4*z + 4 = 3*n, -z = -5*n + 49 - 4. Let l = 8 + -3. What is l*r(c) + n*a(c)?\nAnswer: -2*c**3 + c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79\/135 + 2\/135. Let w be (1\/1*10)\/(2\/(-3)). Let l be (-20)\/(-48) - 5\/w. What is the nearest to 2\/5 in l, -2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*c + 95 - 0, 0 = 5*c - 4*q - 100. Let v = -4 + c. What is the lowest common multiple of v and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-13 - -1) - (-13 + 0)) + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -198 - -83a?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33632266969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126 + -236 + 122 + -18 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 369 - 207. Suppose -a = -2*j + 42. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (98 - (121 - -64)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 2*l**2 + l + 1. Let z be k(-2). Let y = 415 - 0. Let i = y + -4562\/11. Is z at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 + 0*o**2)*((-o - 1 + 1)*(6 + 0 - 4) - o + 0 + 0)*(-1 - 5 - 2).\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 36069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2725 divided by -545.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 98. Solve 31 = -v*w + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*x**3\/2 - x**2 + 43*x\/2 + 19.\nAnswer: -(x + 1)*(x + 2)*(7*x - 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2096*c**2 - 86*c + 97*c - 15*c to s + q*c**2 + k*c and give q.\nAnswer: -2096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 31. Suppose -3*r + 7*r + t = 17, -4*r + 26 = -2*t. Is o(r) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 - -9675\nAnswer: 9674.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1780 by -5.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/36 - (-59)\/(-4). Let k(s) = -s**3 - 16*s**2 + 16*s - 31. Let u be k(a). What are the prime factors of (-11)\/(-33) - u\/6?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 >= -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 37. Suppose -3*x = t - 2683, x - 425 = -i*t + 472. Suppose -6*c = -0*c - x. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0*v**4 + 0*v + 0 + 53\/90*v**5 - 4\/9*v**3 - 7\/45*v**7 - 101*v**2 + 0*v**6. Solve o(a) = 0.\nAnswer: -1, -2\/7, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 9 = -2*o + 4*o, -5*o = 4*p - 27. Let t = -497\/11 + 45. Which is the biggest value? (a) o (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 903421100 to the nearest one million.\nAnswer: 903000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -473.1 * -0.042\nAnswer: 19.8702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1240 - 695. Let z = h - 540. Solve 0 + 2 = 4*y + 5*s, -4 = z*y + 3*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1334771*y**4 + 2*y**2 + 4*y - 96486 wrt y?\nAnswer: 32034504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2363 greater than -2363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*k - 152*k + 4739 - 764 = 0 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**2 - 17 - 13 - 168*g**3 - 16 + 46 - 65*g.\nAnswer: -168*g**3 + 21*g**2 - 65*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4260 divided by 852.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*j - 885 - 2098, 0 = j + 3*o - 600. List the prime factors of j.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-4*(-6)\/72.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 4, d: 3, o: 3}. What is prob of sequence dooa?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 17. Suppose 0 - 12 = 3*w. Let q = w + n. Solve 9*k - q*k = -10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1530277971?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24171337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -10. Calculate the remainder when i is divided by -33*3\/(-18)*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (11 - (-7 - -4)) + 4 + -2 - -7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6621*f**2 - 5 + 6620*f**2 - 9*f + 7 + f**3. Let x be k(0). Solve 3*b - x - 1 = 0, 5*j + 3 = -2*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 1104.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*x**3 - x**2 - x - 120.\nAnswer: 408*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1. Let i = -27 + 26. Let d(t) = -2*t + 3. Calculate i*d(v) + 3*n(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r**3 + 0*r**3 + 7*r**3 + 15*r - 15*r.\nAnswer: -25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*q + 3*q + 3, -2*m - 3*q + 6 = 0. Let v(b) = b**3 - 9*b**2 - 80*b + 534. Calculate the remainder when v(5) is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 305 + -283. Let q = -14 + 20. Suppose 0 = -4*b - q + 70. Calculate the lowest common multiple of l and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65\/(-26)*(-21)\/210*(-8)\/3. Sort -2, t, 3, -2\/119, 2 in increasing order.\nAnswer: -2, t, -2\/119, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b8f49 (base 16) in base 4?\nAnswer: -12320331021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 79 - 161 = 0. Let c(b) = 16*b + 12. Calculate the least common multiple of c(2) and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/21*z - 8\/21*z**3 + 0 - 10\/21*z**2 - 2\/21*z**4.\nAnswer: -2*z*(z + 1)**2*(z + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9))\/(-1*(-7)\/42)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k - 3. Let p be (-53)\/(-6) - 9\/(-54). Suppose -5*y - 8 = -p*y. Calculate s(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-3\/7)*u*u))\/u)**(-11) assuming u is positive.\nAnswer: u**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6324.\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -24. Suppose -w*g - 8 = -6*g. Let v(o) = -4*o**2 - 2. Let z(m) = 11*m**2 + 6. Let r(p) = g*v(p) - 3*z(p). What is the derivative of r(n) wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose -4*n + k*w + 532 = 0, 0 = 3*n - 0*w + 3*w - 423. What are the prime factors of n?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1085605mm in micrometers?\nAnswer: 108.5605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 8*b**2 + 2*b - 9. Let v = 27 - 13. Let y = v + -6. Calculate the remainder when 18 is divided by n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r - 39*r + r + 15*r + 10*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**3 + l**2 + 0*l + 0*l + l + 2 + l. Determine r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18967 + -13647. What is the remainder when i is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 3*p. Let m(r) = r**3 - 23*r**2 + 38*r - 30. Let l(a) = m(a) + 6*z(a). Determine l(27).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 13*j + 10*j + 66 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3105*l + 1548*l - 1991*l.\nAnswer: -3548*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*g + 4, 14*c - 5*g = 11*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/901 and 93\/25534340.\nAnswer: 25534340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:28 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -181 + 9*a**2 + 181 + (5 - 3 - 2*a + 2)*(5*a + 0 + 1 - 3*a)*(1 + 2 - 5).\nAnswer: 17*a**2 - 12*a - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 - 553790*n - 553785 = 0 for n.\nAnswer: -110757, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = -0*n - 3*n, 0 = -4*n - 5*f + 13. Suppose -2 = -o - n*i - 1, 0 = 2*o - 2*i - 2. Let u = 66 - 458\/7. Are u and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(396)*-4 + (2 + 1*sqrt(704))*-6.\nAnswer: -12 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k - 8. Calculate the least common multiple of l(-4) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 167592.15 milliseconds?\nAnswer: 0.046553375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/7 - 4*w**4 - 24*w**3\/7 + 4*w**2 + 26*w\/7 = 0.\nAnswer: -13, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-28)*h)\/((h\/(h\/(h\/h**(-3\/4)*h)))\/h))\/(h**(-9\/5))**(-27) assuming h is positive.\nAnswer: h**(-1547\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2685*h + 2250*h - 497360 = 2573*h + 3209*h for h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39.6 - -39.1. Which is the nearest to -19? (a) k (b) -1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 8*j**2 + 7*j - 2. Give v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 411024 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23682275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*x + 379*x = 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 146643861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92868 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/5 (b) -21\/13295 (c) -1\/11 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 547223190 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 42. Does 3 divide x(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(170)\/(sqrt(10) - (5*(sqrt(10) + sqrt(40)\/sqrt(4) + sqrt(10)) + sqrt(10))) - (sqrt(1377)*1)**2*2)*-5.\nAnswer: sqrt(17)\/3 + 13765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -0.6. Let q = 7465\/2 - 3656. Let b = q - 77. What is the nearest to b in j, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.2, -82, 0.3, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -75, 62, -2, 4, 1, -1.\nAnswer: -75, -2, -1, 1, 4, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 84\/7*11\/2. Suppose 3*r = 2*g - 3*g + 33, 2*g - w = -r. Which is smaller: g or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.1, -4, -18, 348, 39?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343) + -1 + 5 + (0 + sqrt(343) + sqrt(343))*6 + 1)**2.\nAnswer: 980*sqrt(7) + 67253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -20, -27, -34, -41, -48?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 452100.23.\nAnswer: 452105.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4832141 + 1?\nAnswer: 4832142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17160706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 4:54 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43981509191328 + 72056050027388727661\/1638326. Let u = y + -3\/28247. Calculate the common denominator of u and -39\/2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 9:35 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, 1 in decreasing order.\nAnswer: 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -608 != -606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/56)\/(((-16)\/(-128))\/(-7*(-6)\/1260))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + v**2 - 3)*((-v + 2*v + 0*v)*(4 - 3*v - 4) + 4*v**2 - 5*v**2 + 2*v**2) + 5*v**4 - 6*v**4 - 4*v**4.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009469 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/40*4)\/(-14*5\/40)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 1\/20*l**5 - 1 - 7\/12*l**4 + 2\/3*l**3 + 0*l**2 - 4*l. Let q(u) be the first derivative of h(u). What is q(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - h + 209, 3*h + 15 = 0. Calculate the remainder when z is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -54. What is the closest to -0.1 in -1\/10, 2\/5, y?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 57 = 4*x - 3*z, -25 = 2*x - 5*z. Let p = 34 + x. Suppose -v + 1 - 3 = 2*q, p = 4*v - q. Solve c = -c + v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -1\/2*u**3 + 1\/24*u**4 - 11\/2*u**2 + 0 - 19*u. Let p(m) be the first derivative of d(m). Determine p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + z - 5 = 48, -3*c - 2*z + 41 = 0. Let p(s) = -4*s - 7 + 10*s - c. Let l(w) = -7*w + 21. Let r(o) = -5*l(o) - 6*p(o). Differentiate r(t) wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 882.9534 + 0.0466. Let w = p + -880. Which is the smallest value? (a) 1\/6 (b) -5 (c) 11 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20292.137 to the nearest 10.\nAnswer: 20290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Suppose n = -s + 7 + 4. Calculate the remainder when 31 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33612 (base 8) to base 11.\nAnswer: a756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**7\/42 - c**6\/15 - c**5\/10 + 2*c**4\/3 - 7*c**3\/6 + c**2 + 8*c. Let w(g) = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -28. What is the remainder when (13 + -5)*2 - 7 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18 = 74. Let v = -32 - m. Solve 2*g + 2*l = -v, -g + 2*l - 2 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -141, -283, -425?\n\"Answer: -142*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 8) to base 12\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-231)\/42)\/(1\/2). Suppose -3 = d + 2, -3*v - 3*d - 36 = 0. Let q = v - o. Solve -q*i = i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496414 less than 0.015?\nAnswer: 1496414.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58331 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000259 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**3 + 239*m**2 - 480*m**2 + 241*m**2.\nAnswer: 25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -0.8 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21776, -55587, -89398, -123209?\nAnswer: -157020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from jajjjajajjajjj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 + 2*w**3 - w**3 + (w - 4*w + 4*w)*((6 + 3*w - 6)*(-3*w + 49 - 49) + 34 - w**2 - 34 - 25*w) in the form i + t*w + p*w**2 + m*w**3 and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -464*k - 13. Let c(m) = -214*m - 6. Let b(x) = -13*c(x) + 6*l(x). Let i(j) = -2520*j + 2. Calculate b(i(g)).\nAnswer: 5040*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21499 - 20913. Calculate the remainder when 1792 is divided by j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7378 divided by 94\nAnswer: 3689\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-6 - (-5 + -8)) + -2 + -4 + 16\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78948919 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*o**5 - 332*o**4 + 332*o**4 - 3*o**2 + 2*o**5 + 3*o**2 + 3*o**5 - 2*o**5 - 2*o**5 + (-o + 2*o - 2*o)*(-2*o**4 + 2*o**4 - 2*o**4) - 4 - o**5 + 4.\nAnswer: 49*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 - 336*k + 19. Let h(q) = -q**3 + 84*q - 4. Determine 9*h(i) + 2*o(i).\nAnswer: -3*i**3 + 84*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 26. What is the highest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 14*w**2 + 14*w + 3. Let h be q(-15). Suppose -2*k - 2*i = h, k + i = -2*i - 7. Is k less than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = y. Put 4, y, -3 in decreasing order.\nAnswer: 4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + 9 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20185689 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 68. Let w be ((o*1)\/(-7 + 3))\/(-1). Do 5\/37 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 19*w = -14. Suppose w*n - 240 + 166 = 0. Suppose 82*s**2 - 85*s**2 + 5*s + n*s = 0. Calculate s.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/5)\/((-2)\/10). Let q be (-3006)\/12*k\/(-6). Let j = q + -403. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shs when three letters picked without replacement from zzzhhzsszzhhszhhzhz.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 150*p - 10 + 6)*(p + 78 - 3*p**4 - 78).\nAnswer: 450*p**5 - 150*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 + 0 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 57 (b) -1 (c) -1.3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**3\/6 - s**2\/2 - 43*s. Let n(w) = -3*w + 2. What is -n(j) - 2*u(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974143521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (8 - 3) - 3 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 3992 = -12*w - 16952. What is the highest common factor of 234 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (-581)\/(-21) + (-1)\/(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 5*z**3\/6 + 2*z**2 + 14*z. What are the prime factors of o(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-99)\/(-6)*(-20)\/(-75)*-5. Suppose -a = 3*a + 32. Let u = a - m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-h - 2*h + 5*h) + h - 5*h + 0*h + 2*h + h - 2*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3 + 12*f**2 - 3*f - 18 = 0. What is f?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11393192951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 5. Let m be y(-4). Suppose 0 = -3*b - 6, 3*o = -b + 31 - 93. Does 38 divide (-1485)\/o - m\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 18 - v**3 + 17 - 407378*v + 407378*v + 6.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 451, 522, 647, 832, 1083, 1406?\n\"Answer: a**3 + 21*a**2 + a + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**3 - 4*t**3 + t**3 + (15*t + 19*t + 3*t)*(1 - 12*t**2 - 2 + 3) as c*t + q + z*t**2 + f*t**3 and give f.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12231*r**5\/5 - 24456*r**4\/5 - 256863*r**3\/5 + 758196*r**2\/5 - 488868*r\/5 - 48 = 0. Calculate r.\nAnswer: -5, -2\/4077, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 551.4071.\nAnswer: -547.4071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106881, 213790, 320691, 427578, 534445?\n\"Answer: -f**3 + 2*f**2 + 106910*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7691190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 0.08.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22781 + 45085. Is 272 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*j + 9 = -2*n, -5*j - 3 = -4*n. Suppose -2*x = 4*i + 8, -12 = 2*i + 3*x - 0*x. Let k = n + i. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7637928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -3*m - 12*g, -m + 527364*g = 527361*g + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*y - 65. Suppose -y = -0*g - g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120838596 a multiple of 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0 - 24 = 0. Let c(o) = o**3 + 5*o**2 - 8*o - 4. Let l be c(p). What is the second derivative of 3*d + 11 + 2*d**4 - 19 + l wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49223680 divided by -4.\nAnswer: 12305920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20411891\/180 - 113400. What is the common denominator of j and -129\/260?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207738 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473443407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20045 - 20050. Which is the closest to 2\/7? (a) 3 (b) -0.3 (c) 1\/11 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 3:09 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -23*v**2 + 6*v - 1. Let t(n) = -47*n**2 + 13*n - 2. Let p(d) = 13*r(d) - 6*t(d). What is p(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 8*k + 3*m + 110, 5*m = k - 55. Suppose 2*r - 8 = 6. Suppose -2*n + 3 = -r. What is the greatest common factor of n and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 47832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.656?\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.91 - -27. Round l to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46.3 and 0.3?\nAnswer: 13.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/4 - 69*n**3\/2 - 396*n**2 + 69*n\/2 + 1587\/4 = 0 for n.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045 is divided by 127.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-3) + (-2)\/6. Suppose -2*n + 5*l + 23 + 8 = 0, 0 = -5*n - 2*l + 5. Solve 14 = n*f + p - 0*p, 4*f = -x*p + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3319, -3.263, 1\/4, 2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-17))**(-18) assuming v is positive.\nAnswer: v**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 9:46 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11661)\/(-9) - 10\/15. Let q = w - 732. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-266)\/57*6\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 31, 51, 79?\n\"Answer: 4*l**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*(-25)\/(-35)*1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17306.0000008389 - -17306. What is x rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + 2017?\nAnswer: 2029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49575 and 1545.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 29*p**2 - 7. Let k(d) = 86*d**2 - d - 20. Give -6*k(g) + 17*l(g).\nAnswer: -23*g**2 + 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (-111 - -75) + (5 - (0 + 9)) + -118\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -25*z - 217 + 76 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*w + 5295 = -w, -2137 = -2*n + 5*w. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.1283 (c) 0 (d) 3 (e) 15 (f) -2\/5 (g) 1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*s**(-4)\/s)**(-2\/99) assuming s is positive.\nAnswer: s**(32\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 16\/2783 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (410701\/(-114) - -1)\/(133\/(-1064)). Let q = 28812 - g. What is the common denominator of q and 49\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -396195, 5 in decreasing order.\nAnswer: 88, 5, -396195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 102791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 29*z - 27644 = 5*n, 2*z + 2*n = 13804. Let h = 4 + 7. Suppose -5*s + h*s - z = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9 = -u + 3*u, q = 4*u - 11. Let i(h) = -4*h**u - 51*h**2 + 54*h**2 + 5*h**3. Let v be i(-3). Solve -z + 0*z = v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k = 15. Suppose 0 = 3*c - 15, -5*c + 141 - 16 = k*y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6698975.\nAnswer: 5, 267959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1709, 41, -21, -18 in increasing order.\nAnswer: -1709, -21, -18, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 805915633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.155 - -1.845. Let y be ((-20)\/(-60))\/((30\/9)\/(-2)). What is the second biggest value in y, i, -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -97*k**2 + 3*k. Let a(u) = -9*u. Calculate a(o(b)).\nAnswer: 873*b**2 - 27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1989*x - 1993*x - 25 = -3*i, 6*i - 56 = 5*x for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5703911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 - 3*c + c + 3*c + 5 - 3. Let v(a) = -21*a**2 - 6*a - 11. Let d(l) = -11*h(l) - 2*v(l). Determine m, given that d(m) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 9 + 7. Let t be 1 - (3 - 4 - i). Solve 0 = -t*w - 4*j - 16, -2*w + 19 = -6*w - j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 107, 221, 377?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723089 is divided by 454.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.595 + -112721539?\nAnswer: -112721539.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 9:05 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2294352*v**5 + 68*v - 40438 wrt v?\nAnswer: 45887040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 1)*(-4*d + 6*d - d) - 4*d + 0*d - d - 3*d - d + 2*d)*((2 - 3 + 3)*(-2*d + 2*d - d) + 0*d - 3*d + d - 3*d + d + 4*d).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 + 7*k - 4. Let i be l(5). Suppose x - i = 4*x. Let a(f) = 5*f - 40. Let g be a(9). Put -4, x, g in descending order.\nAnswer: g, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25618 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7 + 2 - 3 + 39*z. Is d(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1024258825 from -83.3.\nAnswer: 1024258741.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -861, -843, -825?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*18\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111111 + -100?\nAnswer: 10000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 684.1302 + 0.4.\nAnswer: 684.5302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 + -1240?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 3, f: 1, v: 7, k: 1}. Give prob of sequence hh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*r - 17 = -4*o - 602*r, 0 = 3*o + r - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*x - 9 = 0, -x - 2*x = 3*y. Let h = -3 + 6. What is the greatest common divisor of h and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 3*f**4\/8 - 101*f**3\/3 - 4*f**2 - 23. Calculate d(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2183218 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(2\/23)\/((m\/(m\/(m*m*m\/m**(-2\/23)*m)*m))\/(m*m\/m**(-2\/19)))*(m**6\/m**(-1\/7))\/((m\/m**(3\/5))\/m**6) assuming m is positive.\nAnswer: m**(163262\/15295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -h + 11 - 4, 0 = 5*f - 3*h - 1. What is the second derivative of 3*p**4 + f*p + 0*p + 2*p - 3*p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 564 - 184 = 0. Solve -3*h - a = -28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5 + 177*l**4 + 147*l**3 - 1533*l**2 + 1902*l - 696 = 0 for l.\nAnswer: -58, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/5 + 6642*r**3\/5 - 3978*r**2 - 59714*r\/5 - 6636 = 0?\nAnswer: -1, 5, 3318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -513*w + 509*w + 0 - 1 to the form k + p*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 2:23 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27102 + 27106. Let h(d) be the third derivative of 0*d + 4\/15*d**5 + 10\/3*d**u + 1\/150*d**6 - 30*d**2 + 0 + 0*d**3. Suppose h(m) = 0. What is m?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**3 + 1 - 3*j**2 - j**2 + 2*j**2 + 3*j**3 + 9*j to t*j**2 + p*j + r*j**3 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*((a*(a\/(a\/a**6*a))\/a)\/a)\/a)\/a*a)*((a*a**(3\/2)*a)\/a)\/a)\/(a**(-3)*((a*a\/((a*a**(-3\/7))\/a))\/a)\/a) assuming a is positive.\nAnswer: a**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*t**4 - 49694*t**3 - 180339.\nAnswer: 20*t**3 - 149082*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(1\/5)*v)\/v)\/v**(-18)*(v**(-6))**(-3\/14))**(-27) assuming v is positive.\nAnswer: v**(-20304\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-153934)\/(-36))\/((-860)\/(-12)). Let i = 2360\/43 - l. Find the common denominator of -17\/18 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21620*z - 5346*z + 3187*z - 295*z)*(-z - 3 + 3) in the form y*z**2 + t*z + q and give y.\nAnswer: 24074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3494083003 to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1. Let p(g) = -g**2 - 1. Let n(m) = -2*j(m) - p(m). What is the units digit of n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s*((s**13*s*s)\/s)\/s*s*s)\/s*s*s)\/((s**20*s)\/s))\/(s**(2\/9)\/s**12) assuming s is positive.\nAnswer: s**(97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -104.29. Which is the smallest value? (a) 1 (b) i (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/9*(-25 - -31). What is the fourth smallest value in g, 5, -2\/59, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 27\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**5 - 59*k**2 - 49*k.\nAnswer: -40*k**3 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -308*v**2 - 221*v + 440. Determine n(2).\nAnswer: -1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 44*m + 208.\nAnswer: -2*(m - 26)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/(-100))\/((-1)\/5). Is 3 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from yzyyyzyy.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180 + 252. Suppose -6*p + 4*b + q = -2*p, 0 = -3*p + 5*b + 314. Let o = p - 46. List the prime factors of o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 2:53 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*a - 362*a + 14667 = -19131 for a.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 14131033?\nAnswer: 14131024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231.95725 + 1.\nAnswer: 232.95725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87*((-425)\/(-15) + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 768 = -5*p. Suppose -7*q + 3*q = p. Let u = q - -23. Which is bigger: -23\/3 or u?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 210 + 162. Solve 2*i + m = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54789 divided by -101.\nAnswer: 54789\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*j - 157*j = 156*j - 138 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**(-3)\/g)\/g)\/g)\/(g*g*(g\/g**5)\/g*g)*(g\/g**0)**(-11\/4))**(-1\/31))**(-50) assuming g is positive.\nAnswer: g**(-675\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 974152, 3896614, 8767376, 15586432, 24353776?\n\"Answer: -c**3 + 974156*c**2 + c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323200 (base 4) to base 11.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**8\/3920 + d**6\/420 - d**4\/56 - 8*d**3\/3 + 4. Let x(y) be the third derivative of g(y). Determine l, given that x(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 9*n - n)*((0 + 0 + 3*n)*(149*n - 417 + 417) + n**2 - 2*n**2 - n**2).\nAnswer: 4005*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*-0.36.\nAnswer: -0.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 121502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let j(k) = 337*k + 9. Give r(j(d)).\nAnswer: -227138*d**2 - 12132*d - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.5, -1\/4, -110, 14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 403\/5 - 81. Which is the fourth biggest value? (a) 0.2 (b) j (c) 16 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 93a19?\nAnswer: -93a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.520866 + 0.478314. Let z = -4 + p. What is z rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 962.1655l?\nAnswer: 962165.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-2) + (5 - 1). Suppose l*k - 15 = 5*k. Suppose -50 = k*x + 305. Round x to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 10. Let z(r) be the third derivative of -r**4\/24 - 7*r**3\/6 + 17*r**2. Calculate 5*w(l) - 7*z(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29866?\nAnswer: 2, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**2 - g - 9. What are the prime factors of z(-3)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.028 in 2\/3, -0.05, -2\/21, 0.1, -33\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 90\/54*18\/15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 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: What is 126 minutes before 9:31 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*q + 5*i + 11, 0 = 5*i + 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11001010010101?\nAnswer: 11001010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/7 - 4336*a**4\/7 + 2596430*a**3\/7 - 260134936*a**2\/7 + 75848168*a + 3177618752 = 0.\nAnswer: -8, 11, 121, 1022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 13*v**2 + 14*v + 13. Let n be i(-12). Let j = -7 - n. Let m be (2\/(-2) - j)*-32. What is the highest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/11 + (-25416)\/(-33). What is t rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 11*d + 10. Let j be p(12). Let l = -319.2 + 315.2. Let b(q) = q**3 + 9. Let h be b(0). What is the second biggest value in l, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r + 207. What is s(36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370217 is divided by 224.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111000 (base 2) to base 4.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12166.\nAnswer: 2, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -293.7 + 292.52. Let o = 41.83 + -43. Let r = v - o. Which is bigger: r or -0.9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14040 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 11*a + 10. Calculate r(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-440)\/(-5280) - 537\/(-36)*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16)**(1\/2)*((w**(-1\/25)\/w*w)\/w)**(-37) assuming w is positive.\nAnswer: w**(1162\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.1. Let t = 849\/4 - 212. Which is the smallest value? (a) 4 (b) -1\/2 (c) r (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 99, 128, 179, 258, 371?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 - -94.4. Let d = -11797 - -11799. Let p = 0.3 - 0.1. What is the third biggest value in p, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*v**3 + 2794*v**3 + 1156*v**3 + 1707*v**3.\nAnswer: 5913*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g = 246 - 194 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 7*i**2 - 9*i + 8. Let v(x) = x**3 + 4*x**2 + x + 3. Let g = 23 + -26. Let u be v(g). Is m(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m - 29 = 29*m + 4*c, 3*m = 5*c + 43 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9456346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20293 and 72378887?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/20 - x**4\/3 - 5*x**3\/6 - 6*x**2 + 30*x. What is the remainder when 113 is divided by z(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4107443 is divided by 301.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4 + 2. Suppose y + 3*z = -2*y + 9, -f*z + 1 = -y. Suppose y*v + 3*t - 105 = 0, 2*t - 103 = -2*v - 3*t. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**17*s*s**(-1)*(s**(5\/7))**(2\/69) assuming s is positive.\nAnswer: s**(8221\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-10) + 71\/2. Let d = i + -20. Factor -j**4 - d*j**3 + 24*j**3 + j**5 - 10*j**3 + j**2.\nAnswer: j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**2 + 0 - 2\/3*t**3 - 1\/20*t**5 - 1\/120*t**6 + 0*t + 1\/12*t**4. Calculate v(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 p when three letters picked without replacement from fwwppwwwwwwbfpzwwwp?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820929 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43603 is divided by 1406?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.2. Let v = -84.9 + 89.8375. Let w = 0.0625 + v. What is the second smallest value in p, w, -11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 3*s**2 + 10*s - 1. Suppose 0 = 413*r - 334*r - 474. Is u(r) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2421120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 91 - 83. Let x be 2\/(11\/6*-2 - l). Solve 4*h + x = -14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8886 or 8888?\nAnswer: 8888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 3. Let c = k + 6. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -4, 1\/2, 3, -13\/23?\nAnswer: -13\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 332 - -1475. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d + 22*d - 90. Let u be d\/25 + 4\/(-4). Let v = -3 - 0. What is the nearest to u in v, -0.1, 1\/10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 356*b*w**2 - 8*b*w + 121*b + 3460700*w**2 with respect to b.\nAnswer: 356*w**2 - 8*w + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 0.19. Let z = n - 0.2. Let b = -2973 + 2973. Which is bigger: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(1\/(30\/(-48)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33193, 33188, 33181, 33172, 33161?\n\"Answer: -s**2 - 2*s + 33196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 1, q: 2, o: 1}. Give prob of sequence ohlh.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 52, -4 in decreasing order.\nAnswer: 52, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -5, -36?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51802655, -51802661, -51802667, -51802673, -51802679, -51802685?\nAnswer: -51802691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14480 + 25817. Suppose 7*l - 1844 = y. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3801 - -0.2801. Which is bigger: m or 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/((-4)\/1) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -414?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54384990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 28*v - 26*v + 80, 4*v = w - 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2703 divided by 175.\nAnswer: -2703\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 64 = r. Let c = r - 2. Suppose x - c = -x. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6643 divide 2904711537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhs when four letters picked without replacement from ssssshshshss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Let g(a) = 0 - 5*a - h + 16*a - 12*a. What is g(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.2. Let x = -6.8 + s. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 11:00 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 2 = -a. What is the remainder when a is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (456 - 500 + 418)*(2 + 1 + 1)*((1 - 2 - 1)*(-k + 0*k + 0*k) - k + 3*k + 4*k)*(4*k - 6*k + 0*k).\nAnswer: -23936*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21606689641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 2)*(2 - 4 + 1) - 330 - 512 + 236)*(0 - o**2 + 0).\nAnswer: 605*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 6:15 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6532 is divided by 1302?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12034.1 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96225 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**(1\/8)*(f**8)**(-14) assuming f is positive.\nAnswer: f**(-225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*f**3 - 14*f**3 - 1783*f + 1784*f - 4*f**2.\nAnswer: -191*f**3 - 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34848*i**4\/7 + 4008048*i**3\/7 + 11769650*i**2\/7 + 177638*i\/7 + 96 = 0. Calculate i.\nAnswer: -112, -3, -1\/132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49977 and 5338284.\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001043517 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 20*w + 9. Let o be k(10). Suppose -4*y - 3*v = -80 + 335, 3*v = o. What is the least common multiple of (-27)\/45 + y\/(-10) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 32, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 8 - 11)*(-5*v + 34 + 6*v + 2*v) in the form m*v + g and give g.\nAnswer: -1904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0414329mm?\nAnswer: 0.0000414329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 22477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28933468 by -83.\nAnswer: -348596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 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 u(z) be the second derivative of 2*z**3\/3 + 15*z**2 - 15*z. Let v be u(0). Let c = v + -30. Sort -4, -15, c in increasing order.\nAnswer: -15, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-27)\/(-270)*6\/(-9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -0.2634?\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6) + (-6)\/(-8). Let p = 35 - 34.7. Which is the closest to -2\/5? (a) p (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 2*w - 2. Let d(i) = 4*i**3 + 23*i - 14*i - 3 - 6 - i**3. Determine 4*d(v) - 18*y(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 1190*g + 4776. Calculate t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i**2. Let c(f) = 8*f**2 + 1043169 - 1043169 - 4*f. What is s(c(k))?\nAnswer: 576*k**4 - 576*k**3 + 144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from {m: 3, f: 3, g: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 1, 0, -3, 234, -2 in ascending order.\nAnswer: -3, -2, 0, 1, 70, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 3*j + 7*j)*(5 + 6 + 44*j**2 - 48*j**2) + (2*j**2 + 3*j**2 - 6*j**2)*(2*j - 1 + 1) in the form x + f*j**3 + y*j**2 + n*j and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -365*u**3 - u**2. Let w be a(-1). Calculate the highest common factor of 52 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 148*o + 4 + 146*o - 293*o. Let d(q) = -4*q - 1. Suppose -3 = 5*u + 2. Let t be d(u). What is c(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(13860\/(-176))*-9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 + 1435*a**2 - 1450*a - 2880 = 0. Calculate a.\nAnswer: -288, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*t + 1376 + 3991 = 0, t = -2*v + 5361. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9770*g = -9842*g + 504 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42137153?\nAnswer: 31, 61, 22283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2995016 and 89\/37792?\nAnswer: 11980064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5996?\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2603173, 2603174, 2603175, 2603176, 2603177, 2603178?\nAnswer: 2603179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170183, -5, 1, -2.\nAnswer: -170183, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11525 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-8)*1*-4. Let z(b) = 2*b + 2*b - 1 - 5*b. What are the prime factors of z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.6 + -44.8. Let b = -0.6 + j. Let d = b + 58.15. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*s + 21*s - 18*s)*(3 - 3 + 2*s) + 4*s**2 + s**2 - 4*s**2 - 3*s + s**2 + 3*s + (3 + 2*s - 3)*(5*s - 8*s - 3*s).\nAnswer: -74*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812*n = -811*n + w - 10, 2*n - 5*w = -15. Solve 30*g + 2 = 33*g + 2*s, 5*s - n = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 14. Let t(a) = 4*a + 7. Let o(u) = 5*u - 7. Let g(p) = -11*p + 15. Let b(z) = 6*g(z) + 13*o(z). Give y*t(w) - 6*b(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13697807.\nAnswer: 37, 239, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 108 = 6*c. Suppose 9*l = 15*l - c. What is the highest common factor of 225 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 6:29 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + 0.04. Let a = q + 1.59. Let c = -1.5 - a. What is the smallest value in c, 0, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -207, -316, -429, -546, -667?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:12 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/(r*r\/r**(2\/13)))\/(r**(-1\/2))**(-1\/2) assuming r is positive.\nAnswer: r**(-421\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1321 and 2.5037.\nAnswer: 3307.3877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o**3 + 4*o**4 + 5*o**3)*(0 - 6 + 3) in the form z*o**4 + i*o**2 + d + l*o**3 + k*o and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1)\/((-4)\/(-34)). Let p be 19\/m*1 - -1. Suppose -l + 5*l = 4. Is p smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*v + 27, 9*v - 8*v - 9 = 4*c. Suppose 3*d - 3*y - 645 = 0, -4*d - 1115 = -v*d - 3*y. Is 55 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/66 - (-1186)\/11?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6366*n**2 - 8*n - 29. What are the prime factors of r(-3)?\nAnswer: 59, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 32 - 2 = 0. What is the remainder when 83 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + 47 - 49 + 2*f**3 + f as d*f**2 + u*f + j*f**3 + l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 6. Let r = -73 - -66.2. Let h = 7 + r. Which is the nearest to h? (a) -0.1 (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, 3.\nAnswer: -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 0 - (76 - (-52 + 81)) - (7 + 3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -21*h + 2564. Let i(d) = 5*d - 641. What is 25*i(o) + 6*m(o)?\nAnswer: -o - 641","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.08 + 19. Let w = n - -0.08. Which is the third smallest value? (a) 4\/3 (b) -11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1578 - 1588. Let q(u) = 2*u + 12. Determine q(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from qqaaaa.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.4. Let h = -14 - -13.8. Which is the smallest value? (a) h (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from dddltzddfdzgdd?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1b2 (base 14) to base 3\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(11)*-2) + 0 + sqrt(208) - (0 + sqrt(832) + -1 - sqrt(832) - sqrt(832)))**2.\nAnswer: 23*sqrt(13) + 6881\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((310\/(-5859))\/(((-60)\/(-56))\/(-3)))\/((-2)\/33).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/28320 (b) 3\/2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/10954376 and -43\/1369297?\nAnswer: 10954376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7862604 and 655217.\nAnswer: 7862604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01542074909 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -54*z**3 - 219*z**2 + 2418*z + 135 = 0.\nAnswer: -9, -1\/18, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1373 or 1327?\nAnswer: 1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 91\/(-14))*(0 + 2). Let b = 46 - g. Let i = b + -56. Solve 2*p = -4*v + 22, i*p - 10 = -4*v + 5*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t**2 - 79*t - 18*t + 5158566 - 5158568 to q + i*t**2 + c*t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:00 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1558.663 - 1558. Let k = -0.211 + b. What is k rounded to 2 dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - 2*(-1 + sqrt(7)))**2 + 3 + -3*sqrt(7))*-6.\nAnswer: -84 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (75\/(-50))\/(0 + 3\/(-282)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 9 + d)*(-5 - 3 + 2) + 34 + 0*d - 2*d - 11 in the form n*d + a and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/7))\/l*l**(-1)\/l)\/(l*l**(2\/7))**(1\/33) assuming l is positive.\nAnswer: l**(-135\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0562707 to 3 decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*m, 0 = -4*n - 3*m - m. Solve -5*q + 9*q + 4 = n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 60 + 6. Let k = 329\/5 - o. Suppose d + 15 = -4*d. What is the biggest value in 0.1, k, d, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 8. Let d = 341 - w. Suppose h = 8*y - 4*y + d, 0 = 4*y. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38488, 38493, 38508, 38539, 38592, 38673, 38788, 38943?\n\"Answer: s**3 - s**2 + s + 38487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (88 - ((-1 - -6 - 0) + -266 + 248)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 0)\/(-16 + 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m + 7*m**2 - 2 + 2*m**3 + 0*m**4 - 6*m**2 + m**4 to t*m + f*m**2 + j*m**3 + y + w*m**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46007, -45969, -45931, -45893?\nAnswer: -45855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656 at most as big as 2626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.025? (a) -7 (b) -2 (c) 0 (d) -0.4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21799 + -13490. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-15\/2)*r*r**(1\/24))\/((r*r\/r**13)\/(r\/(r**(-17)\/r*r))) assuming r is positive.\nAnswer: r**(949\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t + 40. Let x be o(-6). What is the thousands digit of 2*(-17492)\/(-30) + x\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 30\/(-9))\/(38\/(-57)). Solve -4*f = o + 3*o + 8, d = -4*f + 3*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + h - 24, 8844 = -5*r + 4*h + 8823 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -1029*m**4\/5 - 49915614*m**3\/5 - 42784308*m**2\/5 - 2444808*m - 1164192\/5 = 0.\nAnswer: -48508, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -3. Let h = 0.2 - z. Let w = -2.3 - 0.7. Which is the nearest to h? (a) -2\/15 (b) -3\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -6. Let j = -16 - -16. Suppose -4*l + 109 = z*a, -5*l - 3*a + 120 = -j*a. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 593399 - 593399 + 1238*x as i*x + b and give i.\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000485 rounded to six decimal places?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6989025.2 to the nearest 10000.\nAnswer: -6990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 152*c**4 + c**3 - 148*c**4 - c + 0*c**3 + 299*c**4 + 14*c**2 in the form v*c + w*c**2 + s*c**3 + y*c**4 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1341 in 3, 0.1, 3\/2, 0.2, 3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 73510.41 micrograms?\nAnswer: 0.07351041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 19*b**2 - 2. Let m(p) = -9*p**2 + 1. Let l be (-3 + 0)\/(-23 - -24). Let g(h) = l*z(h) - 7*m(h). What is the tens digit of g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -593 - -597. What is the smallest common multiple of 12 and y + (2 - 2) + -4 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1468337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*q - 5*q. Let o(x) = -q*x - 1 + 3 - 2. Let y(h) = h**2. Calculate y(o(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -309055, -618248, -927441?\n\"Answer: -309193*b + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 46*g**3 - 1 + 0*g**2 + 51*g**3 + 0*g + g**2. Let f be d(-1). What are the prime factors of (-6)\/(-21) - f\/7?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4043844 and 20?\nAnswer: 20219220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 83*i = 36*i + 25715. Are -1115\/6 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (13\/(39\/(-18)) - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.51 - 1.49. Let d = 0.043 + 0.092. Let f = d + 1.065. Is f < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 26651?\nAnswer: 293161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28*(-235)\/(-112518))\/(4\/18).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f**2\/3 - 97528*f\/3 - 49280 = 0 for f.\nAnswer: -1680, -44\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2548340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-94)\/18 - (-10)\/45. Let m be n\/25 + (-2)\/5. Let f = -164.6 - -165. Which is bigger: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 - h**2 + 3*h**2)*(2*h + 0 + 0) + 399*h**2 + 334*h**3 + 11 - 333*h**3 - 11 as c*h**2 + w*h + s + g*h**3 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15319039 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.433 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331565 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from hddddhhddd.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 98*q**2 + 298*q + 377. Is 66 a factor of w(96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c - 225. Let d be m(21). What is the greatest common factor of d and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -27. Let p(t) = -t**3 + 9*t**2 - 9*t + 10. Let k be p(i). Differentiate 8*u + k*u**3 + 0*u**3 - 8*u - 1 with respect to u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60209*j**3 - 500 + 60207*j**3 + 500.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19206 is divided by 163?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 31*w**3\/3 + 96. Let d(v) = -3*v. Determine j(d(z)).\nAnswer: 279*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)*3 + sqrt(26))*-2 + sqrt(26))\/((sqrt(12) + sqrt(72)\/sqrt(6))\/sqrt(6)) + 0.\nAnswer: -7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(-2) + 17 + (-732)\/36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = h + 5. Suppose -x = 3*u - 4 + 12, -3 = x + h*u. Suppose 2*v - 12 - 40 = 0. What is the remainder when v is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 3. Let z be j(2). Let n = -471 - -474. Let p(d) = -6*d**n - 8 + 2*d**3 + 3159*d - 3152*d. Let c(f) = -f**3 + f - 1. Determine z*p(o) + 6*c(o).\nAnswer: -2*o**3 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3999944 + -3.4. Round p to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 + 6149768*u**3 + 2363727903364*u**2 = 0. What is u?\nAnswer: -768721, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*j - 2*p + 11280, -5*p + 6768 = 3*j. Suppose -2*t = 754 - j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -5b?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(252) + 2 + sqrt(7) + sqrt(21)\/sqrt(3)*3 - (-5 + sqrt(7) + sqrt(7) + -3 - -5*-2*sqrt(7))).\nAnswer: 5 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10529 is divided by 5190.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 592\/20 + 4\/10. Suppose p - l = -0*p. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1124\/(-3))\/2)\/((-12)\/18). Suppose -i = -5*w + 4*r, -3*w + 203 - 28 = 4*r. Calculate the greatest common divisor of 133 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 5*a**2 - 5*a**2 + (-3 + 3 + 2*a)*(-2 + 2 + a))*(2*a**2 + 2 - 2)*(-3 - a + 3)*(1 - 4 + 4).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3333 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/3 + (-1)\/((-24)\/(-16)). Let x = -3 + y. Calculate the smallest common multiple of x and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 748112.2ng?\nAnswer: 0.7481122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.5 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((72*1)\/(-6))\/(4\/(-46))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1532*s**3 - 88 - 4*s**2 - 76*s**2 + 124*s - 1536*s**3 + 48*s.\nAnswer: -4*(s - 1)**2*(s + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-13 + 21 - 23).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**3*p**2 + 2183*a**3*p + 64912*p**2 wrt a?\nAnswer: 12*a**2*p**2 + 6549*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 27106*o + 27134*o + 14)*(6*o**2 - 2*o**2 - o**2)*(11*o - 6*o + 10*o).\nAnswer: 1260*o**4 + 405*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + -3 - (-6 + 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/9 (b) 3.32 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30120 + -4002?\nAnswer: 21113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/783 and 44\/9?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.61 or -2?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006013 rounded to 7 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6. Suppose 0 = 3*r - 7*r + 12. What is the tens digit of 17 - (p\/r)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 70 = 3*c. Let h(s) = s**2 - 2*s - 18. Does 17 divide h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20)*-2)\/((-10)\/50).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v. Suppose -5*w + 52 = -9*w. Let j = 15 + w. Let g(s) = 0*s**j - 2*s**2 + 2*s**2 + 2*s**2. Give c(g(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 - 45252*j + 10082907\/2.\nAnswer: -3*(j - 111)*(j + 30279)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 71. Suppose -2*v + 237 = -5*y, -3*y + 340 = 3*v + w. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - s = 34*s + 714 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 216 = y - 211, 3*a + 2*y - 640 = 0. Let j = a - 145. Let n = j - 43. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31250, -29710, -27144, -23552, -18934?\n\"Answer: 513*o**2 + o - 31764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2. Let q(r) be the second derivative of -37*r**4\/4 - 54*r - 5. Calculate q(n(u)).\nAnswer: -999*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/2 (b) -1 (c) -81 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000894 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 4*f**3 + 3*f**3 - 114.\nAnswer: -f**3 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1384, -1265, -1066, -787, -428, 11?\n\"Answer: 40*n**2 - n - 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-6)\/(-11))\/(42 - 40).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q - 1015 = -1447 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66631604.\nAnswer: 2, 13, 607, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -7\/2 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 12. Let x be r(0). Let q = x - 7. Suppose 2*c = -3*c + q. What is the least common multiple of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5eb485 (base 15) to base 14\nAnswer: -863c75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1453 = 4*w + 2*b - 1423, 31 + 5 = -4*w + 4*b for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b + 3*b - 23 + 31. Let w be m(-2). What is l in 46*l**2 - 5*l**5 + 30*l**4 + 37*l**w - 60*l**3 - 33*l**2 - 16*l + l = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/24 and -53\/11583246.\nAnswer: 46332984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 less than -90728818?\nAnswer: -90728818.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245 - 188. Let l = 657 + s. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 1217865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 4:05 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -0.87, 10, -4\/171?\nAnswer: -4\/171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(2160\/(-116)) + (-2)\/10. Sort l, 0.45, -10 in decreasing order.\nAnswer: 0.45, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*q + 0*q = 16, 2*q + 80 = 5*w. Find the second derivative of -29*b**5 - 16 + 31*b + w wrt b.\nAnswer: -580*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186855393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90057333 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1. Let i be x(4). Let c(v) = v + v - 6 - i*v + 2. Let q be c(-3). Are q and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15347.445 rounded to the nearest 10?\nAnswer: 15350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1530285 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44939, -44918, -44897, -44876?\nAnswer: -44855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t + 15 - 51. Suppose -130 = -2*g - t*u + u, 2*g - 5*u = 130. Let k = g - 63. Solve -q + 3 = k*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 254 - 259. Sort -11, g, 0 in descending order.\nAnswer: 0, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 41699.9016 seconds?\nAnswer: 0.06894825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11146*0.2\nAnswer: 2229.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(3\/(-6)*2). What is the tens digit of -4 + 13 + 3 + j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2, 1.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 6, 1, -9997 in descending order.\nAnswer: 6, 3, 1, -1, -9997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11763 and 7989691.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-7)\/7 - 4*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kggggkggggkgkggggggg. Give prob of picking 1 k and 3 g.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-50)*5\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4032 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2. Let f(i) be the second derivative of i**4\/12 + i**3\/2 + 3*i**2\/2 - 2*i. Let j(q) = -2*q - 2. Let z(k) = -2*f(k) - 3*j(k). Give l(z(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12) + (-3)\/12. Suppose 0*p + p - 22 = u. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*p**2 - 5*p**3 - 2*p + 14*p**3 + 2*p.\nAnswer: 9*p**3 - 106*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**2 + 4*s + 5*s + 4*s - 24*s + 8*s + 2 as w*s + x*s**2 + h and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/4 - 128323*b**2 + 15401460*b - 462070800 = 0. What is b?\nAnswer: -513412, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 8*g**2 + 9*g - 9. Let q be u(7). Suppose 5*p - 15 - q = 2*w, w = p - 4. Let d = 3 + p. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -280 or -282?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-2*(sqrt(2736)*2 - sqrt(2736)) - 2*sqrt(2736)*3))**2 + 5)*5.\nAnswer: 2880*sqrt(19) + 875590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 5*o**2 - 6*o**2 + 3*o - 3*o + 3*o**2 + 11 to the form s*o + w*o**2 + c and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 13*u + 14. Let j be w(-14). Suppose j - 10 = -5*t. Suppose 5*x + a + 0*a - 22 = 0, t*x + 4*a = 16. Solve -x*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 2*p**4 + 0*p**4 + (0 - 5 + 3)*(1 - 1 + p**4) + 151066 + 283*p**4 + 121*p**4 - 151055.\nAnswer: 400*p**4 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4457 and 0.06.\nAnswer: -4456.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421635027 to the nearest integer?\nAnswer: 20534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-30)*(-963)\/(-2328) + 0 and 62\/35.\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2861220?\nAnswer: 2, 3, 5, 43, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) -1 (c) 0 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-70)\/(-42))\/(-9 + 319\/33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25934327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) -12 (c) -1 (d) -6 (e) 0.3 (f) 7\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 61*b**2 + 144*b - 7. Let w(j) = 21*j**2 + 40*j - 2. What is 14*w(v) - 4*y(v)?\nAnswer: 50*v**2 - 16*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 4*v**4\/3 - v**2\/2 - 8*v + 2. Let r(a) = a**2. What is r(j(f))?\nAnswer: 256*f**4 - 32*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -209 (c) 4.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*u = -773*u - 21 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x + 3 - x + 4. Let u(h) = -352404*h - 2*h**2 + 352404*h. Calculate z(u(w)).\nAnswer: -6*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0091 (b) -3\/2 (c) 946\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1487*f**2 - 4463*f + 6.\nAnswer: (f - 3)*(1487*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6541246266 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/39 - -18\/13. What is the biggest value in -3, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032223103 - -10200?\nAnswer: 1032233303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 1. Suppose 4*r - r = 3. Let f(b) = -b**2 + b - 2. Suppose 2*m + 2*m = 2*x + 18, 4*m = 4*x + 16. Suppose m*q - 4 = 7*q. Calculate q*y(w) + r*f(w).\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/9)\/(-5)*(-21 + 18). Suppose 4*t + 2*k = 3196, -3196 = -4*t - 7*k + a*k. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -31*k - 27. Let w be z(-1). Solve -5*h + 3*l - 3 - 1 = 0, 4*h + w*l = -16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 7) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + h + h)*(-145 + 65 - 143 + 40) to the form k + z*h and give z.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 22 - 17)*(3*h**2 - h**2 + 0*h**2) + 4*h**2 + 0*h**2 - 2*h**2.\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3548 + -3536. Calculate the remainder when 60 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 13 + 27. Let o be l\/20*(1 + -7 + 1). Suppose 0*n = -5*n - 4*z + 13027, -10427 = -4*n - o*z. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8401 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*(-3)\/9)\/((-2)\/1152). Suppose 0*f = -3*o + 2*f + z, 5*f = 4*o - 519. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/10 and -76\/7557.\nAnswer: 75570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12983469775.06 + 12982954517.04000026. Let l = -515258 - k. Let u = l - 0.02. Round u to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122327627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3070*y**2 + y**3 - 530*y**2 - 527*y**2 + 1789*y**2.\nAnswer: y**3 + 3802*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -143 in -4\/7, 5, -2\/13, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027 - p**2 - 1048 + 20*p + 2*p**2 = 0 for p.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -10759.42?\nAnswer: -10759.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((87150\/(-56))\/(-25))\/(1\/4). What is the highest common divisor of 9545 and i?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 885822*a**2. Let r(s) = -s**2 - 15. Calculate r(h(f)).\nAnswer: -784680615684*f**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2121.843109 to the nearest integer.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(27 - 27 + 7*v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 814 + -812. Let z(c) be the second derivative of 1\/3*c**h + 0 + 0*c**3 - 1\/18*c**4 + 27*c. Factor z(v).\nAnswer: -2*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4 + 0 - h - 7. Let i(c) = 3*c + 32. Let n(k) = -4*i(k) - 14*j(k). Find the first derivative of n(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 2. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = 418749 - 419242 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22569164 to the nearest integer?\nAnswer: 4751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -79 - 1. Suppose k*h - 265 = 327. What is the remainder when 172 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*o - 15*o + 4 - 29*o)*(-o - 4*o + 2*o).\nAnswer: 39*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 1369, 2079, 2795, 3517?\nAnswer: 4245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 6*a**2 + 24997*a - 149973. What is n(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -21. Let j = -1 + -9. Is y greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 + o. Let w be z(2). Suppose 4*a + 5*s = 3*s + w, -3*s = -5*a + 19. Calculate the least common multiple of 38 and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240978.\nAnswer: 2, 3, 40163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2891 (base 11) to base 14\nAnswer: -1506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -34\/3, -19, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 197540.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 12\/289399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*g**(2\/13)*g)\/(g**(1\/6)\/(g*g**(-2\/17)))*(g\/(g\/g**(-1)))**8*((g*g*g\/((g\/g**(1\/3))\/g)*g*g)\/g)**25 assuming g is positive.\nAnswer: g**(126239\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1225111151 + 45?\nAnswer: 1225111240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 16*m - 32. Determine g(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770112839?\nAnswer: 571, 907, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42110 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c - 5?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*g + g + 12603 = 0, -5*m + 63002 = -2*g. Suppose 0*h - 5*u + 4200 = h, 3*h = -u + m. Suppose -3*v - h = -2*v. Round v to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 o when three letters picked without replacement from wllol?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-88)\/33)\/(1\/(-69)). Calculate the greatest common factor of f and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 205673?\nAnswer: 205710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000336635225 rounded to 7 dps?\nAnswer: -0.0003366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 + 65 + 598)*(2 - 2*b**2 - 2).\nAnswer: -1492*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30596?\nAnswer: 2, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a hour in seconds?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n\/n**(-2))*n)\/n)\/(n*n**(2\/23))*(n\/((n**(-2\/7)*n)\/n))\/(n\/n**(-6)))**(-2\/19) assuming n is positive.\nAnswer: n**(2512\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1095 at least -1131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-360)\/(-1400))\/(-1))\/((-6)\/(-150))\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69048.191 + 68954. Let z = 0.191 + r. Let x = -94.094 - z. Round x to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 + 175. Is ((-8782)\/4)\/((-6)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 4*y - 5. Let i be a(-5). Suppose 2*o = q - 114, 4*q + o + 4*o - 482 = i. Suppose -7*d + 5*d = -q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/6 - (-2 + (-10)\/(-8)). Which is the biggest value? (a) -2 (b) -1\/6 (c) y (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - a + 4*d + 1, a + 4 = -3*d. Let y(w) = 2*w**3 + w**2 - 5*w + 4. Let h = -9751 + 9746. Let p(c) = c - 1. What is a*y(i) + h*p(i)?\nAnswer: -2*i**3 - i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*414\/(-24)*8\/12. Is -19 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmmhmhhmlh. Give prob of sequence mm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1297, -1297, -1295, -1291?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/15)\/((-6)\/3). Let f be 2\/6*(-2 + 4 + 1). Which is the second biggest value? (a) f (b) -1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 11 = -p - 0*p, -p - 2 = 4*w. Suppose 8*t - t - 560 = 0. Let c(o) = 73*o - t*o - o**2 - 3 + 0*o**2. Determine c(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j - 9 = 0. Let x be (40\/12)\/((-1)\/(j\/(-2))). Solve x*u - 8*u + 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*d = 100*d - 134364. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 2*-2*3\/12. Let u(z) be the third derivative of 0 + x*z**2 + 0*z**5 + 1\/210*z**7 - 1\/120*z**6 + 0*z**4 + 0*z**3 + 0*z. Solve u(v) = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5 = 3*k - 12, 0 = 4*o + 5*k - 23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42953819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9009 is divided by 1990.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14976 - 7?\nAnswer: -6.85024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3371 + 3418. What is the closest to a in 3, -2, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 3*h**2 - 38*h + 389. Give a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 83 - 83 - (26 - -1)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 28000464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125032609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 - 2*b - 7. Let u be i(-7). Suppose 9*j = u + 339. Calculate the highest common divisor of j and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 13. Let f(b) = -b**3 - 6. Let i = 1449 + -1462. Calculate i*f(m) + 6*j(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzzzxx. Give prob of sequence zzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70501864 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(12\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 28?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 2*j**5\/25 + j**4 + 22*j**3\/5 + 44*j**2\/5 + 8*j - 714. Let n(t) = 0. What is t?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/11)\/(x\/x**(-10\/3)))**31 assuming x is positive.\nAnswer: x**(-4154\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 7. Let f be d(-10). Let a be (1\/f)\/(9\/(-108)). Suppose -r - 146 = -5*o + r, -2*r = -a. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 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: Let z(m) be the first derivative of m**4\/4 + m**3\/3 + 5*m + 25. Calculate z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427853983 to the power of 1\/3, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*y - 81*y - 2*p - 216809 = 0, 5*p - 86712 = -2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0*c + 3*c - 2*c)*(c**2 - 19*c + 4751 - 4751) to the form s*c + g*c**2 + b*c**3 + k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.3 != 6442\/301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 + -26.784425518\nAnswer: -24.884425518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/10*(-5)\/2. Suppose -4*k = -2*n - 2*n + 8, 11 = n + 2*k. Suppose -n*f = 2*d - 22, -3*d + p*d + 1 = 0. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100295 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {w: 6, f: 7, i: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**6)**(3\/14)\/((g*g**15)\/(g*g\/g**18)) assuming g is positive.\nAnswer: g**(-463\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2 + 6. Suppose -j + b = 1. Suppose 5*d - 41*c + 40*c = -11, d + 2*c = 0. Sort 1\/6, d, j in descending order.\nAnswer: j, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5861.999986784 + 5862. What is w rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 48 = 62. Suppose -p*l - 5382 + 1961 = 0. Is -310 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhrhzrhhhrhzrdszhh. Give prob of sequence zds.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 32\/7, -8, 0.2, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 188286.09 months?\nAnswer: 1569.05075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*g - 14, -4*g + 2*g = 2*p - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 21 = 3*u. Suppose -b = -u*l + 1, -15 = -4*b + 2*l - l. Solve 0 = 2*j - 5*k + 6, -2*j - b*k = 2*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2365306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 5*o**2 - 8*o - 6. Let l be f(-5). Let x = -19 + l. Let y be x*(2 + 2)\/12. Solve -a + 0 = y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {x: 1, q: 4, d: 3, n: 1, p: 2, s: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = 5*f, 3 + 4 = -b + 3*f. Let h be 23198\/4 - b\/(-4). Suppose 5*k = -v - h, -2*v - 2*k = 2*k + 11612. What is v rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c = 165*c + 93*c - 233910. Is c >= 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395377 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2. Let r(u) = -5*u + 17*u - 5*u + 0*u. Determine r(b(x)).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 332 - 289. Suppose v*n = 29*n + 364. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4827103 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 7:31 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*x**2 - 4*x**2 + 10*x**2 - 5*x**5 wrt x.\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + ((-2 + sqrt(832))*4 + sqrt(832) - (sqrt(832) + -2 + sqrt(832) + 5)) + -4)*-4)**2*5.\nAnswer: -72960*sqrt(13) + 627920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let c(x) = 8*x. Suppose -2*q + 3*t - 1 = 0, -6*t + 4*t + 1 = -q. Let p(g) = q*c(g) + 3*h(g). Calculate p(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*-1)**2 - -3*sqrt(57)\/sqrt(3).\nAnswer: 3*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 1:51 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.39299km to centimeters.\nAnswer: 7739299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 11:25 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 604.2.\nAnswer: 241.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-1)\/(-3))*15. Suppose -5*d + 5*f = m, 2 - 17 = -5*f. Suppose 4*q + 4*j = -12, -q + 17 = 2*j - 6*j. What is the remainder when d is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5258 - -6024. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y**3 - 36*y**4 - 55*y**4 + 62*y**4 + (-y**2 + 0*y**2 - y**2)*(2*y**2 - 2*y**2 + y**2).\nAnswer: -31*y**4 + 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 12656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(1\/4))**12\/(k\/((k*k**5\/k)\/k*k)*k\/k**(-1\/4))*(k**(1\/4)*k*k)**19*(k\/k**(1\/2))**29 assuming k is positive.\nAnswer: k**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1379151 and 21?\nAnswer: 9654057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a - 4 = 0. Suppose 5*w + 45 = 3*b, a*b - 2*w - w = 60. Suppose -5*y + 2*y = -b. Solve -y*p + 11 = -9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1426*g + 1312*g - 6 - 2533*g)*(-2*g**2 - g**2 + 4*g**2) in the form p*g + v*g**2 + b + r*g**3 and give r.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:32 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -42204333?\nAnswer: -42204323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 15*a**2 + 8*a + 27. Let l be t(-15). Let q = l - -90. Sort 10, -4, q, 5 in ascending order.\nAnswer: -4, q, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 17 = 2*q. Solve -3*r = 3, q = 3*i - 5*r + 2*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2058 and 5\/20448?\nAnswer: 7013664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 33910 - 33910 - 2*u. Let r(c) = -6*c**2 + 4. Let k(o) = -o**2 - 1. Let f(z) = 20*k(z) + 5*r(z). What is d(f(x))?\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttraetr. What is prob of sequence tte?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394\/(-12) - (-3850)\/(-459900)*219?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 + 38 = 0. Do z and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d - 42. Determine j(6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28215 and 677160.\nAnswer: 677160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/20)\/(-2) + 8\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from sssslsxjjssljsj.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3788*g*o**3 + 2*g*o**2 - 2359*g - 3*o**3 wrt o?\nAnswer: -22728*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*i - l + 72 = -91*i, -181 = -5*i - 3*l. What is the remainder when 464 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (820*c - 1 - 249*c + 591*c)*(1 - 1 + 2*c).\nAnswer: 2324*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 515 (b) 1\/6 (c) -3 (d) 1 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10264939 to the power of 1\/2, to the nearest integer?\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x**3\/2 - 1700*x**2 - 199098*x + 57024 = 0 for x.\nAnswer: -288, -198, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/20 - 7*f**4\/6 + 8*f**3 - 31*f**2\/2 + 18*f. Let n be y(-17). Calculate the greatest common factor of n and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124465697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1669 - 0.16690030628. What is a rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2. Suppose 5*g = 20, -3 = -4*s + 2*g - 7. Let j(m) = 4*m - 3. Let f(t) = -t + 1. Let k(l) = s*j(l) + 3*f(l). Give k(o(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6171)*-1 + sqrt(6171) + sqrt(6171) + sqrt(6171)*-2 + sqrt(6171) + sqrt(6171))\/(sqrt(24)\/((sqrt(88)*1)\/sqrt(11))).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98.67423 millilitres?\nAnswer: 0.09867423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 4*b**3\/3 - b. Let u(v) = -787 - 20*v + 1580 - 793. Give u(w(c)).\nAnswer: -160*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40661 - 40620. Calculate the highest common divisor of m and 3157.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5374*p = 5365*p + 1969767. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**5 - 12620*j + 2*j**3 + 14803*j - 2*j**3 - 647*j**4 wrt j?\nAnswer: -20*j**3 - 7764*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 39. Let t be (32\/b)\/(2\/45). Suppose t = 4*u + u. Solve 5*v - 3*v + u = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjjjsjjsjsjs. Give prob of sequence jj.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*b**2*n - b**2*w + b*n**2 + 2*n**2 - 32*w wrt b.\nAnswer: 10*b*n - 2*b*w + n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1651.4633 and 17?\nAnswer: 1668.4633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 1. Let b be x(-1). Suppose b*m = 4*i + 4*m - 3, 0 = 4*i + 2*m - 6. Suppose -2*u - 4 + 22 = i. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 328, 694, 1208, 1876, 2704?\nAnswer: 3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, w: 5}. What is prob of picking 3 w and 1 l?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107936.\nAnswer: 2, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 676\/17 + -46610\/1173. What is the third biggest value in 5\/4, u, -15\/2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37a73 (base 14) in base 3?\nAnswer: 20221021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1014 - 753. What is the highest common factor of 58 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223973 (base 13) to base 8.\nAnswer: -3051752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 6. Give h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - (-22 + 18)) + -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187346?\nAnswer: 2, 283, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14860336?\nAnswer: 2, 928771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.29716 nanograms in tonnes?\nAnswer: 0.00000000000003429716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05488 and 0.4.\nAnswer: -0.021952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xauaxhuh. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2\/3 - 26*u\/3 = 0.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 14*d - 24 = 15*d, 13*f = 5*d - 132 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/5)*q*q**(-6))**40)**(-24))**5 assuming q is positive.\nAnswer: q**25920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20077286447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/215 or 1?\nAnswer: -1\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (19 - ((141 - 138) + (-3 - -1))) + 5\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 33 = 9*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 240859*1.3\nAnswer: 313116.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-7)*f**1\/f*f)**(3\/2) assuming f is positive.\nAnswer: f**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2777 - 3018.1. Let x = s - -251.61. Let i = 1.29 + x. Round i to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y - 43*y = 5*r + 2, -5*y + 4*r = 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 - -110. Suppose -5*m = 4*k - 70 + 7, t*k - 3*m - 81 = 0. What is the lowest common multiple of 38 and k?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, 2, -2\/11, -1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11662)\/(-25179))\/14 - 110\/27225*15.\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1366 (base 7) to base 14\nAnswer: 2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xxjg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5066359 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 36292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(405))*-3)**2 - ((sqrt(110)\/sqrt(2))\/sqrt(11) + (sqrt(5)*-1 + sqrt(5))*5))*-3.\nAnswer: -10962 + 489*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*1\/(2 + -3). List the prime factors of (2 - 3)*-61 + w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 6 = -3*z. Let a(i) be the second derivative of 2\/7*i**2 - 5\/21*i**3 + 1\/14*i**5 - 1\/21*i**4 + z*i + 0. Factor a(q).\nAnswer: 2*(q - 1)*(q + 1)*(5*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 89.0234 and -293623.59.\nAnswer: -293534.5666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 8*w + 5. Suppose 2*m + 2*k - 19 = -k, -5*k - 3 = -m. Let n be z(m). Let p = n - 2. Solve 0 = -5*u + r - 2, r - p = u - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4*2*-10. Let x(j) = -j + 4. Let o be x(s). Let q be (-2)\/(8\/o) - 0. What is the third biggest value in -0.5, q, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3679433\/365 or -10081?\nAnswer: -10081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990 and 11979.\nAnswer: 119790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 - 1059*j - 4231. Calculate a(-4).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001326681 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55920176 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -143, -198, -231, -236, -207, -138, -23?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33573161*c**3 + 184 - 184 + 33573138*c**3.\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123232 + 1?\nAnswer: -123231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4538502*l**6 - 26*l**2 - 20*l - 288.\nAnswer: -544620240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 1\/60*f**6 + 1\/12*f**4 + 0*f**5 - f**2 - 8\/3*f**3 + 9\/35*f**7 + 0 - 3*f. Find the second derivative of a(k) wrt k.\nAnswer: 648*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0846 * 120651\nAnswer: -10207.0746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28910 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7255\/2 + 1908059\/526. Let o = -15553\/3156 - w. Find the common denominator of o and ((-22)\/20)\/(1573\/(-99) - -16).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/(2 + (-5)\/3). Suppose -y*z + 2 = 18. Which is greater: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547312675.\nAnswer: 5, 7, 13, 113, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j - 8*j - 6*j - 175058*j**2 + 30*j.\nAnswer: -175058*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4482.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 425 = -5*l, b + 3*b - 895 = -5*l. Calculate the highest common factor of b and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15635120 to the nearest integer?\nAnswer: 3954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3 - -3) + -5 + -3 - -1264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/20 - 5*a**4\/12 + a. Let k be y(-5). Suppose k = -2*i - 21 + 63. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89 by -89.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2087042*b**6*x - 73*b**3*x**2 + 417*b**2*x**2 + 157*b*x**2 + 35*x**2 - 3 wrt b?\nAnswer: -250445040*b**3*x - 438*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 220585 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -186 in -0.08, -308, 51?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -102 (b) 0.3 (c) 1\/8 (d) 1.1 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4\/(-12))\/(2\/(-24)) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 - 284. Let c be (4\/(-2))\/((-4)\/z). Let s = -144 - c. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17*i**2 + 1801*i - 108. Let q be h(-106). What is the third biggest value in -1\/4, 10, -0.048, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + df9?\nAnswer: df4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.94 - -23.66. Let i = -26.59999909 + h. Round i to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 38*l + 67 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049520402 times 0.4?\nAnswer: 0.0198081608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -7*i**4\/6 - 3*i**3\/2 - 11957*i. Let c(t) = 2*t. Let a(x) = -2*x. Let w(s) = -3*a(s) - 4*c(s). What is n(w(z))?\nAnswer: -56*z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 15*x - 31*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -240*h + 14365. What is k(60)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 56*b**2 - 6*b + 4. Let s be p(2). Calculate the greatest common divisor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/459 - (-128)\/510)\/((-12)\/15).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 0.0234.\nAnswer: -2.9766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*j - 199, 5*j - k = -0*k + 334. Let n be (12\/10)\/(141\/235). Let d(f) = 67*f + 24*f**n - j*f. Let b(r) = r. What is b(d(v))?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -19*p + 800. What is the lowest common multiple of 4 and p?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 13. Let a(t) = 2*t - 11. Let f be a(4). Let r(x) = -x**2 - 2*x + 12. Let p(i) = f*r(i) + 4*j(i). Find the first derivative of p(k) wrt k.\nAnswer: 6*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k - 6. Let y be 3\/(k\/12*-4). Solve x + y*f + 2 = 5, -f - 7 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 + 109 = -3*w - 2*p + 230, 3*w + 3*p = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 4*w. Let u = 17 + -15. Let g = 2.5 + -3. Which is the nearest to w? (a) g (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*o + 12388, 0 = -2*c + 4*o + 14670 - 2284. Let j = c - -1388. Round j to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -105*x. Let r(g) = -2*g**2 + 26730. What is n(r(a))?\nAnswer: 210*a**2 - 2806650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2375 and 16000?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 13*l = -10*l - 98674, 4*q = 4*l + 98632. List the prime factors of q.\nAnswer: 2, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5 + 51 - 49 + 4*d. Let t(g) = 2*g**2. What is t(m(z))?\nAnswer: 32*z**2 - 48*z + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -69. Let g(k) = -3*k + 1. Let q be g(-1). Suppose -4 = -q*u + d. Calculate the highest common divisor of u and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(2 - 2 + 1)*(-2*u + u + 3*u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-6))\/((-1)\/4). Suppose -6*n = -2*n + 20. Let d = -4 - n. Is d less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 44\/5. Which is the nearest to 1\/6? (a) 4 (b) -2\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26540271261 + -3.\nAnswer: -26540271264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/4 + 16*p**4 + 1237*p**3\/4 + 3955*p**2\/2 + 1127*p - 3430 = 0.\nAnswer: -35, -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 6:19 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/423 and ((-25389)\/4230 - -6)\/(-1).\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -698620026 by 6.\nAnswer: -116436671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 18335.41174 to the nearest integer.\nAnswer: 18335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 26 + (145 + -3 - (16 - (13 + -4))).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + 2593*u + 28690. Calculate v(-11).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 6:44 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8454215 equal to -8454218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 42. Suppose 23 - b = 2*z - 4*a, 4*a = -5*z - 2. Suppose 0 = -r + z, -3*s - 3*r = -53 - 61. Calculate the highest common divisor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+102980172.4\nAnswer: 102980167.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 4. Let a be o(0). Solve 0*g - a = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 4*w**2 - 2*w + 1. Let m be x(3). Let s be -2 - (22 - (m - 0)). List the prime factors of (3*(-28)\/9)\/(s\/30).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 106 - -1?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1771534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/(13 - (-7 - -9) - (-9344)\/(-848))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3563*y + 5*y**3 - 3567*y - 81 + 9 + 7128*y.\nAnswer: 5*y**3 - 2*y - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1263, 0.5, 5\/4 in decreasing order.\nAnswer: 5\/4, 0.5, -1\/1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 8*y**2 - 39*y**2 to h*y**2 + l*y + g and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 297949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0790676535 to 3 decimal places.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9936976, -9936969, -9936958, -9936943?\nAnswer: -9936924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 246, 243, 230, 201, 150, 71?\n\"Answer: -u**3 + u**2 + u + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 4:10 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57, -62, -67, -72, -77?\n\"Answer: -5*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 75240474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 747*r**2 - 1621*r**2 + 801*r**2 - 9.\nAnswer: -73*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 768 in 0.2, 4, -5474?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4583 - 4625. Sort -1, -4, j in increasing order.\nAnswer: j, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + g**2 + 0*g**2 + 0*g + 4998 + 0*g**2.\nAnswer: g**2 + g + 4998","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -159.677199+-11\nAnswer: -170.677199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155136880 and 326.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 + 0. Let m = -0.34 - a. What is the nearest to 1 in 2\/5, m, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 10:24 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 11*r - 32. Let q be j(-6). Which is the third biggest value? (a) -0.01 (b) 0.5 (c) q (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d. Let p(q) = q**2 - 6*q**2 + 0*q**2. Give h(p(w)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) -27 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21840 + -21838. Solve -4*p + 8 = -u*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103803331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 128. Suppose -5*d + 21 = -2*q, 142*q + n*d - 16 = 139*q. Calculate the highest common factor of 26 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-802 + 395 + 445)*(3*i - 5*i + 4*i)*(-1 + 3 + 0)*(1 - 4 + 2).\nAnswer: -152*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -131\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*f = 15, -4*k - 4*f = k + 12. Suppose 10*x + 30 = 25*x. Sort x, -4, -2, k in decreasing order.\nAnswer: x, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1140 and 70908.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527811151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 120 = -660. Suppose 2*u - 68 = -2*u. Calculate the remainder when s is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(200) - (1 + sqrt(200)*-2)) + -2 + -2 + sqrt(200)*2 + -3 + 1)**2.\nAnswer: -240*sqrt(2) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 - 44?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1764361.99999 + 1764354. Let c = 8 + g. Round c to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6936?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*j**3 - 112*j**3 - 10*j**3)*(2*j + 0*j - 15*j) in the form b*j**4 + u*j**3 + i*j + o*j**2 + k and give b.\nAnswer: 1846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 11:58 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 6*v + 37 = -4*t + 20*v, -246*v = t - 250*v + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 23545.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 2, -1, -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905 = -93*q + 30*q + 2417 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60.72 or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 141?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 3:10 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1692.14\nAnswer: 169.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*j**2 - 24*j - 24*j - 50*j**2 + 7*j**2 wrt j.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 3*z**3 - 7*z**3 + (-2*z + z**2 + 2*z + (-3*z + z + 3*z)*(-2 - 2*z + 2))*(-1681 + 1681 + 383*z).\nAnswer: -384*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)*a*a**(-3\/13))\/(a**2)**(-43) assuming a is positive.\nAnswer: a**(5653\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l + 4*l)*(-3*l + 0*l + 4*l) + 0*l - l**2 + 0*l + 2*l**2 + 5*l**2 - l**2 - 142*l**2 + 54*l**2 - 187*l**2.\nAnswer: -268*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 7 + 9. Let h = 7 - 6. Calculate the highest common factor of m and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + p + 1. Let a(w) = 6*w**3 + 7*w**2 + 5*w + 5. Suppose -5*l - k - 14 = 13, 5*l = -2*k - 29. Determine l*u(v) + a(v).\nAnswer: v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 - h + 17. Give i(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9123 (base 14) to base 11\nAnswer: 177a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 times -14660553\nAnswer: 4837982.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from cijijijiccd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 95 + 17 + (-20 - 19)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 13*c + 4. Let j be h(13). Sort -1, j, 3 in decreasing order.\nAnswer: j, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 90934, 362076, 813980, 1446646, 2260074, 3254264?\n\"Answer: 90381*g**2 - g + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-22)\/8) + 23\/92. Let o be (-146)\/(-4) + w\/(-8) - 0. What is the greatest common divisor of o and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n**3 + n**2 - 9*n + 27. Let o(x) = -14*x**3 - x**2 + 8*x - 25. Determine 7*o(r) + 6*v(r).\nAnswer: -20*r**3 - r**2 + 2*r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*d = 40*d + 8*d - 1078 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 - 2.24. Sort s, -3, -2\/13 in ascending order.\nAnswer: -3, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s + 13. Let m(r) = 23*r + 39. Let c(j) = 3*m(j) - 8*q(j). Give c(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*s + s. Calculate the common denominator of -13\/2 and 4 + 165\/(-12) + s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/2 + 6772*d + 22929992 = 0. What is d?\nAnswer: -6772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.065 - -27.865. What is g rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2902, -5809, -8728, -11665, -14626, -17617, -20644?\n\"Answer: -u**3 - 2900*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 640211 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 45 + 23 + 38*m in the form d*m + b and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 468 - -33. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:57 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5387558347*b - b**2 + 5387558347*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 263 (b) 0.4 (c) 2\/11 (d) -2\/7 (e) 1 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*s + 37*s - 6 - 1 + 1 - 40*s + 2*s**2 to u + c*s**2 + z*s and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-60))\/((-336)\/40 - -9)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7*1\/42*6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41561 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*u - 180, -6*o + 4*o = -5*u + 111. Does 4 divide (-14)\/o + (-86)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -667704 + 667703.9. Suppose p - 1 + 8 = 0. Which is the nearest to v? (a) -1 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 5 = -13*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66769.\nAnswer: 23, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from {v: 3, x: 5, b: 1, o: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56303909 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + m**5 - m**5 + (-17*m**3 + 21*m + 4*m**2 + 13*m - 33*m)*(m**2 + 3*m**2 - 3*m**2).\nAnswer: -19*m**5 + 4*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqhh when four letters picked without replacement from {h: 11, q: 5}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 6. Let y be u(-4). Suppose 6 + 0 = y*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1. Suppose -10*u + 1 = 11. Suppose -3*y = 4*c - 2*c - 12, -5*c = -3*y - 9. Let q = y - 4. Let b(w) = -2*w**2 - 2*w + 3. Determine q*k(s) + u*b(s).\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.016 - 0.016. Let x = 4.15 + 0.85. Let z = -5.1 + x. Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-1 - (-14)\/(-4)). Let q = 10 + j. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*1170\/312.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eet when three letters picked without replacement from {e: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -16, -11, -4, 5, 16, 29?\n\"Answer: g**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -t - 4, 1 - 7 = 3*t + 3*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 12. What is the derivative of 4*m**4 - m**4 + m**4 + i + 3 wrt m?\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45, -317, -1057, -2499, -4877, -8425, -13377?\n\"Answer: -39*r**3 + r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d + d + 0*d**2 + 7*d - 2*d**2. Let p be x(0). Factor -1\/2*m**3 + 3\/2*m + p*m**2 - 1.\nAnswer: -(m - 1)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*m + 21*m + 132*m - 263*m.\nAnswer: 57*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(595*-1)*(-324)\/(-36)*(-8)\/(-36)\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6 and 45\/16156528.\nAnswer: 48469584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 106613500 to the power of 1\/2, to the nearest integer?\nAnswer: 10325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102.2 + -98.2. Sort z, -0.4, 2, 2\/13, -1.3.\nAnswer: -1.3, -0.4, 2\/13, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -71, -0.3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136408116 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = -105*m + 1992. Calculate the remainder when 60 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n + 69. Let u = n - -55. Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5*v = 64, 104*y + 12 + 32 = 101*y - v for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42585175207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140 + 4*z + 0*z + 0*z - z**2 - 5*z to the form d*z**2 + p*z + a and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2166*s - 8. Let j be q(3). What is j rounded to the nearest 100?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 - 27 + 27.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opbah. What is prob of picking 1 b and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p - 1. Let n(y) = -y**3 + 25*y**2 + 18*y + 219. Let j be n(26). Let i(r) = 3*r - r - 3*r. What is j*i(g) - 2*z(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 3. Let n be (-2)\/(-6) + (-2)\/r. Let o = -123580 - -123575. Which is the nearest to n? (a) -0.2 (b) 2\/17 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*s - 70*s + 2840. What is the units digit of s\/(-80) - (-2)\/(4\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 3. Let j be r(3). Let w = -8 - -4. Let z = 2.95 - -0.05. Which is the third smallest value? (a) w (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*y - 594 + 128 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2260.66m?\nAnswer: 2260660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3\/4 - 39*f**2\/2 - 57*f\/4 + 225\/2 = 0?\nAnswer: -25, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -1*sqrt(99)*-3 - (1*sqrt(99)*-1 - sqrt(99)))\/(2*sqrt(90)\/(sqrt(10) + sqrt(90))).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 2*j**3 - 3*j**2 - 8*j - 4.\nAnswer: (j - 2)*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16*2)\/((-85)\/(-1530)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1144 - -1148. Solve 11 = -2*z - 3*u, 5*u - 11 = d*z - 0*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**6)\/(((((y**(2\/5)*y)\/y*y)\/y)\/y)\/y*y)*(y\/y**1*y)**(-6\/11))\/((y\/(y**(-1\/4)*y))\/(y\/(y*y*y**(-7)*y))*y**(2\/7)*y**(-3\/2)) assuming y is positive.\nAnswer: y**(4649\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*v - 14*v + 207 + 10 + 47 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -19) + -6 + (6 - 0). Suppose 10 = -m - x, -4*m + 3*x = 31 + 16. Let h = m + n. Solve -h = 2*p - 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -300.\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1952142 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 5*y**4\/6 + 3*y**3\/2 - 9*y. What is the second derivative of f(q) wrt q?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = -0, -3*r + 4*y = -53. Suppose 0 = 5*b + 4 - r. Let w be 1\/b + (-24)\/(-9). Solve -v = -4*m + 19, 0 = 2*m + v - w*v - 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.19.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*4 + 2 + -3. Let w(c) = c + 5*c - 3*c - 2*c**2 - 2 - 23*c**3 + 27*c**3. Is w(x) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/3 - 634*f**2\/3 + 21781*f\/3 - 153410\/3 = 0 for f.\nAnswer: -667, 10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5723*-5575\nAnswer: 3190.5725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11566.66059 * -1\nAnswer: -11566.66059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 7*j**2 + 8*j + 1. Let k be o(-6). Let p(x) = 2*x + 26. Let h be p(k). What is the units digit of ((-4)\/h)\/2*-66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 56*g**2 + 4*g - 98. Let f be l(28). Solve -3*j = 3*z - 18, -2*z + 4*j + f - 32 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/667? (a) -5 (b) 0.3 (c) -38 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11993156 to the power of 1\/2, to the nearest integer?\nAnswer: 3463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 5. Let z be n(-10). Solve 2*q - 7*q + z = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 1\/3 (c) 12\/23 (d) -173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 256*f**3*k**3 + 6991*f**3*k**2 - f*k**3 + 3*f*k + 633985*k**2 wrt f.\nAnswer: 1536*f*k**3 + 41946*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 709188 and 1808.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -21*s. Let p be w(-1). Solve -17 = -2*x - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**2 - 24*d**2 - 5*d**2 + 6*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 804, -0.2, 0.1, -51?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1975, 3978, 6013, 8098, 10251, 12490, 14833?\nAnswer: 17298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -21, 85, 221, 381?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 8. Suppose -a*m + 7*m = 20. Suppose 7*t - 20 = 5*t. What is the greatest common factor of t and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0056 or -1823?\nAnswer: -1823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 1 + (-105 - (102 + -208))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11a014 + 0?\nAnswer: -11a014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061913 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (10 - 13 - -4)*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1134, -2, -170 in increasing order.\nAnswer: -170, -2, 1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7179627 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n - 48 + 104 - 62. Let a(p) = p - 1. Suppose u = 18 - 12. Calculate u*a(j) - f(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 265 (b) 4 (c) -0.02 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 11*c**2 - 2*c - 9. Let h = -1392 + 1381. Determine q(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261567726 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 5*t**3 + t**4 + (-9 + 9 + 4*t)*(7*t**3 - t**3 + 2*t**3) + 134*t - 103*t**4 - 134*t.\nAnswer: -70*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8609 is divided by 173.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h - 17*h + 136. Let u = h - 72. What is the greatest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -124, -190, -256, -322?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 + 246*w**2 - 7900*w + 33600 = 0 for w.\nAnswer: 5, 48, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m + 4. Let t(d) = d. Let u be t(-3). Suppose -11*a + 99 = -0*a. Calculate the smallest common multiple of a and j(u).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (351*a - 177*a + 548*a)*(61 + 5 + 27 + 84) in the form c + l*a and give l.\nAnswer: 127794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 209192117 to the power of 1\/2, to the nearest integer?\nAnswer: 14463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 846844*a**6 + 34*a**2 + 1405?\nAnswer: 101621280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c + 9. Let o be i(5). What is the second derivative of -o*h - 27*h + 11*h**5 + 40*h wrt h?\nAnswer: 220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 440, 466, 510, 578, 676, 810?\n\"Answer: c**3 + 3*c**2 + 10*c + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/29 (b) 103\/4 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**4\/4 - m**3 - m**2\/2 + 3*m + 16. Determine v, given that w(v) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28456 = 112*m - 104*m. What are the prime factors of m?\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 - 71*p - 1363. Let j(z) = -2*z**2 - z - 2. Let b(c) = 12*j(c) + 4*u(c). Factor b(n).\nAnswer: -4*(n + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 2}. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3397, 6753, 10109?\n\"Answer: 3356*b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1979 - 1139 - 1146 = 164*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 865166 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*h + 3*q + 7, -2*q = h + 2. Let s be (1 - (-1 - -1))*5. What is the third biggest value in h, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030 + -5?\nAnswer: -4035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 59*t + 9. What are the prime factors of q(4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1539) + -1)**2*-2 - -1*sqrt(76)\/sqrt(4)*-5).\nAnswer: -3083 + 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.413 + 0.013. Let o = d + 2.41. Which is the smallest value? (a) -2 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 253329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1013\nAnswer: -3\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -705*((-200012)\/12 + 2 + -1). Round p to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2166 and -29\/855.\nAnswer: 32490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1959\/(-72) + 18\/(-27). Let z = 239223459\/454808 + -226524\/409. Let w = t - z. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 29*h + 195. Calculate u(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlvzluzvcz. What is prob of sequence vuz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321.4 - -322. Let g = 6 + -5.6. Which is the closest to -1? (a) -0.4 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -297*p**3 + 1307*p**2\/6 - 4*p\/3.\nAnswer: -p*(11*p - 8)*(162*p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/14*7\/6. Let j = -0.0315 + 32.9315. Let l = -33 + j. Sort h, l, -1\/7.\nAnswer: -1\/7, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.40538ug to kilograms.\nAnswer: 0.00000005540538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c + 6*c**3 - 577800 + 577800.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 382630 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: Which is the closest to -2? (a) -2 (b) -0.5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*y**3 - 27*y**3 + 416*y**2 - 13*y**3 - 26*y**3.\nAnswer: 13*y**3 + 416*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 20*n - 101. Determine r(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -2\/13 (c) 253\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -21c1?\nAnswer: -21c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 - 94. Let w(t) = t**3 - 10*t**2 + 17*t + 3. What is the remainder when w(k) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 25. Solve 2*r - 3 = -x, -3*r - 3*x = l*x + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 2*y + 4*c + 15, 16 = -3*y + 5*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 3*(1*sqrt(72) - sqrt(72)))\/(sqrt(160)\/sqrt(5)))\/(((sqrt(180)\/sqrt(3))\/sqrt(5) + 2*sqrt(36)\/sqrt(3))*-2).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1\/8 (c) 0.05 (d) 2\/9 (e) 1\/5 (f) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1558443*u**2 - 1772740*u wrt u?\nAnswer: -3116886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-10 + 7 - -15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/5, 44, 0.338?\nAnswer: 0.338","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**2 - 7*h - 6. Let p(j) = -6*j + 20. Let m be 28*(0 + 2)\/4. What is m*x(z) + 5*p(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -97b?\nAnswer: 97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4928)\/8)\/22*(-5)\/(35\/2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q + 9. Let d(s) = -4*s + 5. Let f = -11 - -7. Calculate the remainder when t(-6) is divided by d(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 27 = 0. Let r be (-101)\/o - (-28)\/(-126). Suppose 7*y = r*y - 52. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 u, and 1 a when four letters picked without replacement from {u: 2, r: 1, m: 1, p: 2, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924988 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7893 (base 10) in base 6?\nAnswer: -100313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 15*l - 3. Let k(b) = 16*b - 4. Let p(j) = 6*a(j) - 5*k(j). Let v(s) = 2*s**2. Determine p(v(f)).\nAnswer: 20*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1090*k - 7. Let b(f) = -1090*f - 11. Give 3*a(p) - 2*b(p).\nAnswer: -1090*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 - 4*j - 9. Let w(u) = 3*u**3 - 4*u**2 - 5*u - 23. Let b(a) = 2*a**3 - 5*a**2 - 4*a - 24. Let l(s) = -4*b(s) + 5*w(s). Give 4*l(f) - 9*q(f).\nAnswer: f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 618, 627, 640, 657, 678, 703, 732?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*n + 192*n - 4 = 100*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*r + 12, 0 = -8*n + 3*n + 4*r + 18. Let v = -0.2 + 0.3. Which is the smallest value? (a) -1 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6753, 6760, 6771, 6786, 6805, 6828, 6855?\nAnswer: 6886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/8197854 and 1\/4746126.\nAnswer: 90176394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -39dcbb3?\nAnswer: -39dcbb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 135839, 135813, 135755, 135653, 135495, 135269?\n\"Answer: -2*a**3 - 4*a**2 + 135845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 6*x = -4, -44*q + 39*q = -4*x + 41 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6\/(n\/((n\/n**(2\/3))\/n)*n))\/(n**(-7)\/n**6))\/((n**(-7)\/(n**(-4\/5)*n))\/(n\/(n*n**(-2\/5)*n))**(-8\/5)) assuming n is positive.\nAnswer: n**(1837\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = o - 9, k - 3 = o - 4*k. What is the derivative of -o*u**3 - 6 + 3 - 2 wrt u?\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*x**3 - 30491*x**3 - 2504*x**3 - 1406*x**3.\nAnswer: -33603*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -41366 (base 10) to base 15\nAnswer: -c3cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/17, 0.3, -1, -902, 100.8, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189813308.\nAnswer: 2, 47453327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*h + f, -f + 3 = -h + 2*h. Suppose -5*v + 2910 = h*j, -3*v - 9 = -0*v. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*l - 21, -2*l - 17 = -s - l. Let r(y) = y**3 + 5*y**2 + 5*y + 4. Calculate the remainder when s is divided by r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53072 and 6848.\nAnswer: 212288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.252971 millilitres to litres.\nAnswer: 0.004252971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2632626 is divided by 2005.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 164691478 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.395216?\nAnswer: 0.1185648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmembzmeek. Give prob of sequence ezkb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g = 15. Suppose -4*q - 36 = -0*q. Let d be (-24)\/q + (-2)\/3. Sort 5, d, g.\nAnswer: d, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -23233447?\nAnswer: -23233451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*h = 0, 0 = -2*h + h. Suppose s = -f - 1 + 4. Suppose -a + 3 = -0, 0 = -f*w - 2*a + 42. Solve -w = -3*b - b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3))**44\/(v\/v**(-1))**(2\/69) assuming v is positive.\nAnswer: v**(-9112\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*w**3 - 31*w**3 - 10*w**3 - 11*w**2 - 28*w**2 + 39*w**2.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*-3*3)\/((-5*sqrt(512) - sqrt(32))\/sqrt(8)).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 12*w**3 + 10808*w + 10873*w - 21681*w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 56, 4, 1\/8, -1\/25 in descending order.\nAnswer: 56, 4, 2\/3, 1\/8, -1\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/12 + (-5)\/(-20). Let u be 12\/5*(-10)\/(-4). Let h be (4\/u)\/(16\/(-24)). Is h greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62237 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2860 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 6*r**2 - 3*r - 6. Let t be w(-5). Let j be 6\/27 + t\/9. Calculate the highest common factor of j and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let g(b) = 2*b**4 - 12*b. Let p be -2*(4 + -6) - 74. Let t(k) = p*l(k) - 5*g(k). Find the second derivative of t(j) wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*m - 24 + 104, k - 62 = 4*m. What is the highest common divisor of 42 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-9)\/(-4))\/(-3))\/((-4)\/(-48)). Let r = 15 + t. Which is the closest to 0? (a) r (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keeeekkkkeeekekekk. Give prob of sequence ee.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 55*h**2 - 85*h + 20. Let l(a) = -53*a**2 + 82*a - 21. Let r(t) = -4*f(t) - 5*l(t). Factor r(p).\nAnswer: 5*(p - 1)*(9*p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3.4, -5, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 37*s**3 + s**2 - s + 2. Calculate the remainder when y(1) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -444291 divided by -9453\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 + 32355*l**3\/2 + 48519*l**2\/2 - 3*l\/2 - 16173\/2 = 0.\nAnswer: -5391, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-13)\/4 + 1\/4. Let s be (-20)\/(-10)*u\/(-5). Which is the second biggest value? (a) 2\/7 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9648.99953563 + -9649. What is s rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 4)*(-73*f + 158*f - 83*f - 12840) to a*f + u and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(1155\/(-322)) + (-3)\/((-99)\/(-6)). Solve y - 3 = -4*d - 17, 24 = -x*d + 4*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2. Let t(g) be the second derivative of 0*g**2 - 9*g - 5\/12*g**4 + 0 + 0*g**3. Determine 3*q(d) - t(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -534001*d**2*q**2 - 95*d**2 - 2289*d + 13*q**2 + 2*q - 12 wrt q?\nAnswer: -1068002*d**2*q + 26*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.66\nAnswer: -0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*k + 6, -3 = -i + 2. Let z = 127 + -87. Suppose -4*t + 9*t = z. Calculate the greatest common divisor of k and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -154*r + 819. Determine d(6).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 767 - 764. Find k such that 4\/5 - 4\/5*k**2 + 2\/5*k**5 - 8\/5*k**u + 6\/5*k + 0*k**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2442 and -105.35103345.\nAnswer: 2336.64896655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -56. Suppose 0 = 4*g + g - 15. Suppose -m + 18 = g*i - 5*m, 2*i + 5 = -3*m. Solve j*p = p + i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 6, 0.04, -2.\nAnswer: -2, -1\/13, 0.04, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g + 5. Determine a(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 20 = -0*h. Let n(t) = -2*t - 1 - t**3 - 2*t + 2*t - 4*t**2. What are the prime factors of n(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721, -777, -867, -991, -1149, -1341?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33200?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w + w - 59*w + 1485 = 0. Let u = 0.2 - 0.3. What is the third biggest value in 3\/5, w, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 29536*y. Let m(i) = -2*i**2. What is m(l(d))?\nAnswer: -1744750592*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2 - -15) + (-75 - 25) + 55?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 - l + 5. Let z be u(4). Suppose -z = f - 41. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(17\/5)*o**(8\/3)*o*o assuming o is positive.\nAnswer: o**(121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -36, -75, -152, -279, -468, -731, -1080?\nAnswer: -1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/147733960 and 169\/110800470?\nAnswer: 443201880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*v - 2 + 13 = -9 - 21, 0 = 6*o - v - 65 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 + 34?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*w**5 - 41659923*g*w**4 - 2*g - 1650040*w - 2 wrt w?\nAnswer: 40*g*w**3 - 499919076*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f + 114. Determine v(-25).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 9*h**2 + 9*h + 12. Let z be v(-8). Suppose 0 = -5*i + q + 55, z*i = 3*i - q + 11. Let x = -7 + i. Solve -r + p = -0*p - x, -2 = r + 2*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 0*u**3 + 3 - 2*u + 5\/12*u**4 - 2*u**2 + 1\/20*u**5. Let a(i) be the first derivative of v(i). Give a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11970 = -878*q - 50749 + 9715 - 35908 for q.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**3 - 2*z**2 - z + 1. Let n be b(-1). Suppose -2*l - n*w = -47622 - 20563, -6 = 2*w. What is l rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*r = -r - 14, -2*p + 2 = 2*r. Let m = 7 - 8. Let g be (m - -1)\/(-3 - -4). Put 4, p, g in ascending order.\nAnswer: g, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.082 * -1.0315.\nAnswer: -0.084583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (2 + 720\/75)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)\/j)**(-12)*j\/j**7*j**(2\/23) assuming j is positive.\nAnswer: j**(2092\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 27864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9.04. Let r = -2.04 + w. Suppose -a = -h + 4, 4*h - 10 = -3*a + a. What is the third smallest value in 0.2, a, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 + h - 123 + 67)*(7*h - 7*h + 8*h) to t + m*h**2 + y*h and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2 and 49\/2316735.\nAnswer: 4633470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(304)*1)**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 10. Suppose -4*z + 45 = g, b*g - 42 = -2*z - 15. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 94. Let f = 19207\/3 - 6329. Let x = -74 + f. Which is the biggest value? (a) t (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 15*m + m**3 + 9\/2*m**2 + 10. Is 13 a factor of p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i + 60. Calculate c(8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f (base 16) in base 12?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -1 + 4 - 2*x**2 - 5. Let j(l) = 4*l - 8*l + 5*l. What is j(v(p))?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -197. Let r be x\/(-6) + 4\/6. Let p = r + -8. Round p to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 5*w**4\/24 - w**3\/3 - w**2. Let m = -9780 - -9786. What is the remainder when o(5) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 11*l + 25. What are the prime factors of o(10)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:36 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r + v - 99, 2*r = 5*v + 77. What is the highest common factor of 52 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 704\/5 + -140. Let r = 5 - 1. Let g be ((-2)\/12)\/(r\/(-12)). Which is the nearest to g? (a) -1 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95 - 3365 - 6084 + 2269 - 7218)*(1 - 1 - c**4).\nAnswer: 14493*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/15 - 18*d\/5 = 0.\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10871, -86908, -293281, -695156, -1357699, -2346076, -3725453?\nAnswer: -5560996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + l + l)*(6*l**4 - 5*l**3 + 5*l**3) + 0*l**2 + 0*l**2 - 2*l**5 + (-9*l**3 + l**3 + 5*l**3 - 2)*(5*l - l**2 - 5*l).\nAnswer: -17*l**5 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -0.04051\nAnswer: -1.33683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -659, -1311, -1969, -2639, -3327, -4039?\n\"Answer: -w**3 + 3*w**2 - 654*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 - 5630*s**2 - 22580*s - 22600 = 0.\nAnswer: -2, 1130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20780978000.700208 - 20779827284. Let p = 1150727 - s. Let m = 10.3 - p. Round m to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-204)*3*3\/1*(-7656)\/(-9570)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/11363929 or 0?\nAnswer: -3\/11363929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8851\/3220 + 1\/805. Let f = 1 + 1. Suppose -3*i - 5 = -2. Which is the nearest to i? (a) 2\/5 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2197111 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from kmwmkwtkkkkkmtwkgk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14008\/15 + 934. What is the closest to -1\/38 in 0, -3\/2, 3\/4, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5027 and 5027 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.05 (c) -1.02 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j + 4*j + j**2)*(742*j**3 - 129*j**3 + 220*j**3).\nAnswer: 833*j**5 - 833*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 899722463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**2 + 4*a**2 - 3*a**2 + (2*a + 5*a - 6*a)*(-1 + 1 + a))*(-9133014*a + 9133014*a - 7596*a**2) as c*a**3 + n*a**4 + q*a**2 + g*a + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -44. Let m(n) = -n + 1. Let h be m(3). Let p be (h\/(-2))\/1*-1. Put p, t, 3 in decreasing order.\nAnswer: 3, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 61. Calculate the remainder when o(9) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5484*i**2 + 16*i - 2. List the prime factors of n(-2).\nAnswer: 2, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13)\/1*-23 + -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8.6, -0.3, -188?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/1)\/(-1))\/((-145)\/(-2842)*49).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/2)\/((-5)\/((-25)\/(-10))) - -8. Solve 427 = a*u + 387 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*b + 2*b + 25, 0 = 2*b + 4*z + 2. Suppose c + b*p + 8 = -9, 0 = -p - 4. Suppose 97 = 3*u - u - c*h, 3*u + 4*h - 154 = 0. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 12*n**2 - 13*n - 5. Let m be q(-13). Which is the third biggest value? (a) 0.4 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 19992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 2113230101?\nAnswer: 2113230023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - 9*w**2 - 26*w + 71. Let s be u(6). Solve -10 = -5*a + d, 5*d = 2*a - 4 - s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 10 - 3*l + 4 - 7*l + 6*l. Suppose 3*b + 2*a - 8 + 27 = 0, 0 = -b + 5*a + 22. Let h be d(b). Which is greater: 0.12 or h?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*u + 58*u**2 + 15*u**4 - 2 + u**3 - 56*u**2 - u**3 + 71*u in the form c + p*u**4 + k*u + q*u**2 + r*u**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -296*z**3 + 2*z**2 + 6*z + 7. Is o(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0*d**2 - 1\/27*d**4 - 52*d + 1 + 7\/45*d**5 + 0*d**3 - 13\/270*d**6. Factor o(b).\nAnswer: -b**2*(b - 2)*(13*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000*g = 246*g - 54824 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30351 and 1.\nAnswer: 30351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20241236?\nAnswer: 2, 67, 75527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36 (b) -3\/8 (c) 3 (d) -1\/13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let j(f) = 9*f - 13. Let n(d) = -4*d + 6. Let z(m) = 6*j(m) + 13*n(m). Calculate s(z(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2064, -2067, -2070, -2073, -2076?\nAnswer: -2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1667870844 to the nearest integer?\nAnswer: 40840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28586*u**6 + u**5 - 26*u**2 - 81*u.\nAnswer: -3430320*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 3 - -10) + (-5 - 53).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1359\/8 + 170. What is the nearest to v in 3, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2996*n**2 + 20978*n + 41. What is z(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - 3*x**2 - 7*x + 3. Let z(m) = -m**3 + m**2 + 1. Let a(r) = q(r) - 3*z(r). List the prime factors of a(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l**4 + 3*l**3 - 44*l**2 + 5*l. Let y(w) = w**4 - w**3 - w. Let q(k) = t(k) + 5*y(k). Find the third derivative of q(s) wrt s.\nAnswer: 360*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.8, -29, -5 in ascending order.\nAnswer: -29, -5, -0.8, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2309283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1827770 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88617, 87247, 85877, 84507, 83137, 81767?\n\"Answer: -1370*s + 89987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 - 6) + -2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -30. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.024 (b) 5 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + u + 1472 = 0, -13*n + 14*n + 2*u = 741. Suppose -n = -5*a + 3*b + 594, 2*a - 526 = -2*b. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*f + 28*f - 31*f + (2*f - 2*f + 2*f)*(4 + 0 - 3) - f + 1 - 1 + (3 - 2 + 1)*(-14*f + f + f) as i*f + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*y - 1. Let v be 28\/110*(y + 4). Let z = 61\/22 - v. What is the nearest to 0 in z, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 3 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 895450*g**2 - 2423785 wrt g?\nAnswer: 1790900*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428 - 33 = -5*f. What is f rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*p = -120, -p - 89 = g - 4*g. Which is bigger: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4255\/6 + -711. Which is bigger: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - 0.95. Let z = -1.7 - -2.6. Let p = z + o. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 19, 26, 33?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 4. Let l(h) = -3*h + 15. Let c(y) = -l(y) + 4*m(y). Let x(a) = -7*a + 8. Give 6*c(r) - x(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31547004 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 369, 2, -2, 457 in increasing order.\nAnswer: -2, 1, 2, 369, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 24 - 34. Suppose f = -s + 12, l*s - f = 4*f + 50. What is the remainder when 28 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8642, -69098, -233152, -552590, -1079198, -1864762, -2961068, -4419902?\n\"Answer: -8631*m**3 - 13*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, o: 6}. Give prob of picking 1 b and 1 o.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 547335442 by 36766.\nAnswer: 14887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4743 divided by -3?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 + 32*t - 1 - 10*t + 2*t**4 - 23*t in the form h*t**4 + o + n*t + b*t**3 + l*t**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.5, 8, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 6:14 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1454 (base 6) to base 3\nAnswer: 112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387869181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + (sqrt(2057) + sqrt(2057) + -2)**2 - (0 + sqrt(2057))*5).\nAnswer: -143*sqrt(17) + 8235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*j - 7*j - 9*j**2 + 5*j + 5*j as y*j + x + f*j**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -4*q + 9, 4*p - 3*q + 39 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4250414111 + -4?\nAnswer: 4250414104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tphkhnnnpphphnnn. What is prob of picking 1 k, 2 n, and 1 h?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.99955 - 22. Round b to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9407\/19 - -495. Let y = -382 - -752. Let n = -367 + y. What is the nearest to -4\/13 in -2, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 19389*a - 155020. Calculate p(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 291791 > 291812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-6) - 4\/(-6). Suppose -h - 2*o + 7 = 0, -h + 4*o = -0*h + 5. Suppose -3 = h*g - c. Solve d = v + 2, g*d - 6 = -3*d + 4*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i - 9. Suppose 0 = 3*p - 3*k - 33, 25 = -7*k + 2*k. Let g(f) = 9*f - 17. Calculate p*g(m) - 11*t(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410200 is divided by 470040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025084208 rounded to 7 decimal places?\nAnswer: 0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2635\/(-1785) - 2\/6*-1 - -1. Let b = -116\/553 + -6\/79. What is the closest to 2\/7 in b, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - -43) + (-2 + 1 - (-7 + 6) - -32)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*p + 9, -2*p - 7 - 4 = a. What is the nearest to a in 0.5, 2, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 0 + (-544)\/(15 - 31)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v - 1. Let j(b) = 21*b**2 + 10 + 7*b - 2 - b**3 - 16*b**2. Let u be j(7). Let h = u - -41. Calculate n(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 56 + 921 = 0. What is the remainder when m is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 32\/20*(-5)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxq when three letters picked without replacement from nndnnncxxnccqncn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 483409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/37 and 10865 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 799 = 3*l + 4*y, 2*l + 3*y - 534 = y. List the prime factors of l.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 328.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s = -80*s - 104 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11350 and 2.\nAnswer: -22700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2203, 4431, 6659, 8887, 11115, 13343?\n\"Answer: 2228*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 m when three letters picked without replacement from {b: 7, h: 2, p: 1, m: 4, n: 2, k: 1}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16272 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + c + 1. Let n(f) = -f**3 - 18*f**2 - 6*f - 8. Let m(z) = 5*a(z) + n(z). Determine m(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2744 - 2703. Calculate the remainder when 77 is divided by y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + i + 3*i)*(-1 + 3 - 5)*(-3 + 4 + 3) to the form b + s*i and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 12*f - 25. Let y = f + 16. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*2)\/(sqrt(45)\/sqrt(5)*-3))**2 + ((sqrt(20)\/sqrt(4)*5 - sqrt(5)) + (sqrt(10)\/sqrt(32) - sqrt(5)))**2.\nAnswer: 12725\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 13*d + 0 + 4 - 2*d.\nAnswer: -15*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 116.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w. Let r(x) = -x**2 + x. Let l be r(w). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -21*t**3 - 5*t**2 + 26*t - 5. Let w(o) = -20*o**3 - 4*o**2 + 25*o - 4. Let k(g) = -4*i(g) + 5*w(g). What is the second derivative of k(x) wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -153*i + 179. Let p be x(-5). Calculate the greatest common factor of 177 and p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650*z = 2164*z - 1995 + 9705 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2081 is divided by 897?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -955 - -958. Let n = -27 + 46. What is the third biggest value in -4, n, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f - 13*f - 28*f - 28*f - 16*f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-288552)\/9)\/(-8) - 10\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 34 - 26. Determine q, given that -3*q + 5*q**2 - q**2 + 35*q - r - 68 = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 = -18*o + 131*o + 2476 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-112)\/(-144)*(-12)\/(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -3*m + w + w + 12, -180*m + 185*m = -9*w - 60 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) + (-6)\/12. Suppose 0 = -m*i - 2*i + 12. Calculate the highest common factor of i and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 5 (b) -9 (c) -3 (d) -2055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(sqrt(11) + (sqrt(176) + 1)**2 - sqrt(11) - sqrt(110)\/sqrt(250)).\nAnswer: 117*sqrt(11)\/5 + 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 14*p**2 - 2*p + 34. Let j be o(14). Suppose -5*m = -j*m. Does 5 divide 2310\/(-33)*(-1 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 666491 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -44 (b) 0.6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 4) to base 13\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*j - 4*j + 3, 3*c + 5*j = 24. Let h(t) = -2*t - 7. Let s be h(-5). Suppose c = k, -s*k - 1 = q - 10. Sort -2, q, 1 in decreasing order.\nAnswer: 1, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhzxdfhffzxfhfxhfxz. What is prob of sequence hhd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-56)*((-24)\/(-5))\/(-4)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let r(a) = 7*a**2 - 5*a + 5. Let b(p) be the third derivative of -p**5\/15 + p**4\/8 - p**3\/2 - p**2. Let c(d) = -5*b(d) - 3*r(d). What is c(m(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i*n**2*p*t - 2*i*n*p*t + 14*i*p**3 + 2*n**2*p**3*t + 2*n**2*t - n*p**3*t - 3*n*p**2*t wrt i?\nAnswer: -n**2*p*t - 2*n*p*t + 14*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 739, 2\/21, -0.256?\nAnswer: 739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 29*r - 1. Let w(p) = -2056. Let u(n) = -1645. Let d(h) = -5*u(h) + 4*w(h). What is d(b) + j(b)?\nAnswer: b**2 + 29*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 + 4*f**2 - 14. Let m(r) = -r**3 + r**2 - 3. Give 14*m(o) - 3*v(o).\nAnswer: -2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*c - 7 = 0, -1 = 7*y - 11*y - 5*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 5\/7579726 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = g + 6*w, 0 = -3*g + 5*w + 166 - 15. What is the remainder when g is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*m - 391*m + 22 = w, 5*m + w - 18 = -w + 5*w for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*w - 15, 2*x - w = 6*x - 3. Suppose -2*o + c + 34 = x, -o - c - 49 = -4*o. Solve 4*b - o = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2294641918.\nAnswer: 2, 3061, 374819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 + (-86528)\/1040. Is w less than -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -20.09. Let v = r - 0.01. Does v = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 10 = -10*i. Solve 4*b - 2*r = r + i, 3*b - 6 = 4*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18*s - 564. Calculate p(-83).\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -277*d + 31. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -6a9?\nAnswer: -6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(sqrt(114) - -1*sqrt(114)*-3))\/((sqrt(126)\/sqrt(3)*-4)\/(-2*sqrt(1008))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 - -166. Let j be ((-3)\/q)\/((-91)\/35 - -3). Which is the nearest to -0.1? (a) -6 (b) 5\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18429052 to the nearest integer?\nAnswer: 4293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2160120 to the nearest ten thousand.\nAnswer: 2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 82 - 49 + 141 + x.\nAnswer: x - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 + 1)*(-22 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.41 + 0.61. Sort h, -4\/3, 0.3, -2\/9 in decreasing order.\nAnswer: 0.3, h, -2\/9, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -16*b**2 - 9*b. Let w(z) = -46*z**2 - 32*z. Determine 20*s(i) - 6*w(i).\nAnswer: -44*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h = -17*h + 3*v, -4*v + 8 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 206?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-26))\/(((-147)\/147)\/((-13)\/(-2)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1360 + 107db?\nAnswer: d47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1822*f*h*j**3*q + f*h*j**2 + 2224*f*h*j*q + 7*f*h*q + f*j**3*q - 2*h*j**2*q wrt j.\nAnswer: -10932*f*h*q + 6*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.022 and 0.03609.\nAnswer: -0.00079398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34969, 146, -2\/17.\nAnswer: -34969, -2\/17, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 2 + (-10)\/(-9). Let u be 51\/108*(24\/4)\/(-3). Let h = w + u. Is h < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:08 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20504 (base 6) to base 9.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13996467 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-1 + 49231*t - 2 - 49185*t).\nAnswer: -46*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 5*q + 4*q - 2*q. Let z(d) = -15*d + 39*d - 18*d. Calculate z(t(p)).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -646\/9 - -22646\/315. Is 7 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 12 - 21)*(3 - 3 + 2)*(74 - 74 + 38*k)*(1 - 3 + 4 + 2 + 1 - 1 + (0 - 2 + 1)*(-2 - 2 + 2) - 3 - 2 + 3)*(-4*k**2 + k**4 + 4*k**2).\nAnswer: 7904*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 51*l**2 + 4. Let u(z) = z. Calculate n(u(d)).\nAnswer: 51*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v + 8. Let n = 257 - 253. Let k(r) = -r + 2. Let t(c) = n*k(c) - z(c). Let x(b) = -30*b**2. Determine t(x(q)).\nAnswer: -90*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 11*b**2 + b - 14. Let o be v(11). Let i = o + 12. Let a be (-43206)\/27 - (-2)\/i. What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3, 3 = -2*o - 3*q + 4*q. Suppose o = 3*l + 1 - 10. Solve -5*w - 19 = 2*n, -w = l*n + 4*w + 21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -24439\nAnswer: 24442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/120 - 7*b**5\/60 - b**4\/3 - 5*b**3\/6 - 10*b**2. Calculate g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -31, -53, -83, -121?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/174 and 107\/54?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 38321 (base 11) to base 2\nAnswer: 1101011010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388480 is divided by 161.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1478340 by 24639.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -40720 bigger than -40783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzwg when four letters picked without replacement from {w: 1, z: 6, g: 8}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 37*n**3 + 3*n**4 + n**2 - 3 - 38*n**3 + 2 as a*n**3 + k + q*n**2 + v*n**4 + y*n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.97 + 17.97. What is the closest to 2\/7 in c, 5, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:37 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1207*y. Let l(c) = 2*c**2 + 129*c - 10. What is f(l(u))?\nAnswer: -2414*u**2 - 155703*u + 12070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -75, -88, -87?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85 in 0, 2281, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-k + 0*k + 0*k) - 2*k + 0*k + 4*k + 5*k - 4*k + 2*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 - v + 1. Let y be q(1). Let b be ((-50526052)\/12)\/(y\/6). Suppose -b = 5*z - 52131513. Round z to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-5)*(-41 + -8). Calculate the highest common divisor of w and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {h: 1, d: 1, t: 2, c: 1, f: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:50 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-3 + 71)\/2 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101694 and 650454.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 13 = 20. Let l(j) = -n - 5*j - 4*j + j**2 + 20*j - 12*j. Let v be l(-1). Solve 0*z = z - v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1153, 0.2, -2, -0.049?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 35*g**2 - 558*g + 21. Calculate v(-12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Suppose 3*t - 4*x = 28, t + t = -v*x + 57. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 696*t - 361*t - 403*t as p + n*t and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 200, 277, 2 in descending order.\nAnswer: 277, 200, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bue when three letters picked without replacement from {e: 1, m: 1, b: 6, u: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 64. Let k(r) = 52*r - 61. What are the prime factors of k(c)?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000238174 rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-25)\/(-20)*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1531083812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -297a343 (base 11) in base 6?\nAnswer: -301255444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14355 + -20627. Let i = g + 6271.9999994182. Round i to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d - 8. Let a be q(-3). Let t = a - -36. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Suppose 32 = 5*u + 7. Let x(i) be the third derivative of 0*i**3 + 1\/30*i**u + 2*i**2 + 0 + 0*i + 0*i**4. Give x(q(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27 + -377 + 3 + 5\/(-5))*-41.\nAnswer: 2, 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-14))**(-1\/3))**(-1\/5))**7 assuming j is positive.\nAnswer: j**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -28*v**2 + 0 + 1\/420*v**7 + 0*v - 1\/12*v**4 + 7\/3*v**3 - 1\/60*v**6 - 7\/40*v**5. What is q in u(q) = 0?\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + ((-3036)\/(-84) - 5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c - 3. Let z(u) = u**2 - u. Determine -m(i) + 2*z(i).\nAnswer: i**2 - 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29988 + 29988.000083422. What is b rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071639 is divided by 9400?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29559 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 4076769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1846)\/994)\/((-1)\/7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021861 rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 + 115. Suppose 76 = -w*j + 382. Suppose -5*t + 239 = -j. Does 29 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1816*h + 261499. Calculate o(144).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1153 + 8*f**2 + 1153.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 3\/(-3) - 5. Let m(r) = -9*r**2 + 10*r + 4. Let t be m(-4). Let u be (-2)\/12 + (-570)\/t. Sort s, 4, u, -2 in increasing order.\nAnswer: s, -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g - 23 = 0. Suppose 58 + g = 3*r. Let z be (27\/6)\/((-1)\/(-42)). What is the highest common factor of r and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 27*m + 254. Calculate n(-35).\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27080353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -202101002000211?\nAnswer: 202101002000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 203126 (base 10) to base 5\nAnswer: 23000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3790.8 + -3789.8. Let o(t) = -2*t + 3. Let m be o(2). Which is the biggest value? (a) 1.3 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*d = -5*d + 16, -2*d = 3*x - 12. Which is the third biggest value? (a) -4.5 (b) 8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/20))**(6\/19)*d**(-3\/17)\/(d*d**(-13\/3)*d) assuming d is positive.\nAnswer: d**(20747\/9690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38623400*v**2 - 6457496 wrt v?\nAnswer: -77246800*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24194057, 48388106, 72582155, 96776204?\n\"Answer: 24194049*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 85*a**2 - 5*a + 3. What is the hundreds digit of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 690535.74 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -700*s + 10979. Calculate k(12).\nAnswer: 2579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**3 + 57*g**2 - 57*g**2.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6 + 7*j + 4*j**3 - 3*j**3 + 0*j**2 - 2*j**2 + j**2 - 4*j**2. Suppose 0 = -2*t - 6, 3*v + t = 5*v - 13. Determine p(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 11*k - 30. Let q be b(6). Let j(n) be the third derivative of 0*n + 1\/3*n**3 + q + 2*n**2 + 1\/24*n**4. Calculate j(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-35)*q)\/(q*q**1) assuming q is positive.\nAnswer: q**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -55. Let u = 3 - y. Let k = u + -7.42. What is k rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 - 112\/186. Suppose -5*t + 5 = -2*h, 0 = 2*t + 3*t + 4*h - 5. Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 - (-113 + 235) - (0 + -36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 7 + 52\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15333.7 + 272.3. Is c less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 9 = -5*r - 16, 7*r + 35 = 5*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -5, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -1\/4 (b) -1\/3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i = 50*i - 32. What is the remainder when 110 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9da680 + 2?\nAnswer: -9da67e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3\/2 + 785*m**2\/2 - 2655*m + 4500.\nAnswer: -5*(m - 150)*(m - 4)*(m - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -h - 8, 6*h - 2*h - 5*o = 12. Let r = h - 4. Suppose 0 = -7*w + r*w + 33. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - (122 - 18 - 138)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 72 + -18 - 0?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -250243054 > -500486109\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -2 + f + 0*f**3 + 0*f**2 + 1\/4*f**4. Differentiate p(a) with respect to a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 36*r**2 - 35*r - 3. Let b be o(35). Let w(x) = -133*x**3 + x**2 - 7*x + 2. Is w(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9686 and 183367.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzbbbbz. What is prob of picking 2 z and 1 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -143. Calculate the remainder when f is divided by 1*-5 + 19 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 5*b = -15*y + 18, -b + 156 = 4*y. Find the first derivative of -4*r - 14*r + y*r - 10 + 30*r wrt r.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j*j)\/j**(-18)*(j*j\/(j\/j**15)*j)\/(j*j**(2\/17)*j) assuming j is positive.\nAnswer: j**(542\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g + 31. Determine c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - (-85)\/20. Suppose t + 4*b - 84 = -3*t, -t - q*b = -9. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-1 + -6)) + (-2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3cb (base 16) to base 11\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/3*(558\/50)\/((-93)\/(-155)). Solve 21 = 59*u - n*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6639, 13982, 21325, 28668?\nAnswer: 36011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3703 by -8.\nAnswer: 3703\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppiw when four letters picked without replacement from {t: 1, j: 1, i: 1, w: 1, p: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -4, 0.3, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*q - 77*q = 0. Solve -s + 0*s - 1 = q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 13*f + 6. Calculate the remainder when u(13) is divided by 5\/1 + 1\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/(-304))\/((-6)\/(-8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-729)\/(-6) + 2)*6\/(-3). Let r = 353 + k. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855.2565g in nanograms?\nAnswer: 855256500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -2\/1015?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 272\/(-6)*((-60)\/8)\/5. Let p = 118 - f. Let l = p + -47. Solve 5*r - 20 + 3 = -l*z, -5*r + 5 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -8. Let c(y) = y - 9. Let a be c(4). Which is bigger: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**2. Let f(n) = 12*n. Determine f(b(v)).\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 12\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455586 to the power of 1\/2, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10892248 = 4107752. Round f to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**3 - 2*g**2 + 2*g. Let v(t) = -60*t**3 + 21*t**2 - 21*t. Suppose 4*u - 1 = -j + 3, 3*j = -u - 10. Give u*v(d) + 21*y(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311491.\nAnswer: 17, 73, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58309649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 6) in base 13?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 - 2*j + 2. Let p be a(4). Suppose -g - 62 = -3*b, b + 0*b + 5*g = p. What is the least common multiple of b and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 580 and 638.\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.6 - 20. Let x = -0.0727 + -3.2173. Let o = -0.71 + x. Which is the nearest to 0.1? (a) o (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1575185, 1575189, 1575193?\n\"Answer: 4*i + 1575181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03713 and -0.829?\nAnswer: -0.03078077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(120)\/sqrt(4))\/(sqrt(90)\/sqrt(144)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.046 and 44?\nAnswer: 2.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 11*y = 1572. What is the remainder when 1300 is divided by y?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120011230 (base 4) in base 15?\nAnswer: 71d92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 111, 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 71?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 1:06 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or 0.9168?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(u**4 + 27*u - 2 + 0 - 25*u).\nAnswer: u**4 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/236523023 or -1?\nAnswer: 4\/236523023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 + 140. Suppose -q + 283 = 5*m + 62, -f*m + q + 94 = 0. Solve -y - 4*y - 3*l = -37, -5*y - 5*l + m = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t + 2. Let r be i(1). Let g(o) = 5*o - 2 + 8*o**2 + 2*o - 7*o**r. Calculate g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 816 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35.696 and 217173?\nAnswer: 217137.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425552 is divided by 1687.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*x + 2, 2*k - 5 = 3*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 0.6055?\nAnswer: 0.6055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, -1, 4, -22.\nAnswer: -23, -22, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 436, 1, -5, -6, -4 in descending order.\nAnswer: 436, 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -315 + 318. Solve m + c = z, 4*z + 0*m = -2*m - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/6 - 2\/(132\/341). Let n = -0.1 + 0.1. Sort n, -4, u in increasing order.\nAnswer: u, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26968375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 14 - 116 = 0. Is 7108*(k - (-78)\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from bbrwr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/2*21\/(-231). Is l less than 34\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114803.609615 - -114804. Let q = 0.39 - g. What is q rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065711039507 take away -0.5267?\nAnswer: 0.592411039507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*z + 1177 = -3351 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -494209*h**3\/4 + 2119545*h**2 - 9090225*h.\nAnswer: -h*(703*h - 6030)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 918 - 894. Which is the smallest value? (a) 1\/2 (b) x (c) -3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -5480.92?\nAnswer: -5480.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -19*k**5\/12 + 65*k**4\/12 - 5*k**3\/9 - 417*k. What is v in h(v) = 0?\nAnswer: 0, 1\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1264*((-2660)\/(-320))\/(-133).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 1. Let n(b) = 389*b - 322*b - 12 - 75*b. What is -12*c(y) - n(y)?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/56 and -113\/264.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 4 (c) -6\/5 (d) 167 (e) 2 (f) 5 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -363 + 371. Solve -g + 3 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11625804 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0429 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**6\/40 - 2*x**5\/15 - 5*x**4\/24 - 20*x**2. Let u(r) = -3*r**3 + 7*r**2 + 4*r. Determine 5*m(c) + 6*u(c).\nAnswer: -3*c**3 + 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*t + 230. What is the remainder when t is divided by (10 - (-6)\/(-3))*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393793587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 6 - 42. Solve -2*p - p = b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/44430 and 43\/309.\nAnswer: 4576290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**6\/600 + 3*z**5\/20 - 2*z**4\/5 - 46*z**3\/15 + 38*z**2 - 26*z. Factor l(b).\nAnswer: (b - 2)*(b + 1)*(b + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 4*p**2 - 2*p + 5. Let w(b) = -b**3 - 4*b**2 - 2*b - 1. Let u be w(-3). Let t(v) = 5*v**3 + 9*v**2 + 5*v - 11. Determine u*t(c) - 9*r(c).\nAnswer: -2*c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98678 - 30749. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1496822 and 1016.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -292, 4, -15, 1, 3, 2.\nAnswer: -292, -15, -1, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:31 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 984.0394 millilitres?\nAnswer: 0.9840394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1048350)\/(-90857)*13\/12?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 5*c**2 - 13*c - 5. Let x(m) = -m**3 - 8*m**2 + 20*m + 8. Let o(w) = -8*j(w) - 5*x(w). Let p(y) = 4*y**3 - 5*y. What is 5*o(s) + 4*p(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(363) - (sqrt(363) + 0))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**3 + 4*q**2 + 8*q + 6. Let j(r) = r**3 + r. Let h be 2\/3 + (-25)\/15. Let n(p) = h*b(p) - 2*j(p). Let l be n(6). Solve o - l*o = -20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2289 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507365.9 minutes to seconds.\nAnswer: 30441954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/17 and 44\/289?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)**(-11)\/((i**5*i)\/(i\/(i\/i**(5\/2)*i*i))))\/(i\/i**0*i**(-3\/5)\/i)**(1\/10) assuming i is positive.\nAnswer: i**(-136\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 283 - 273. Suppose 8 = -9*k - q. Let b(h) = -3*h**2 - h**2 + 6*h**2 + 7*h**2. Calculate b(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-192)\/382) + 9258\/49376. Factor -25\/6 + 5\/6*d**3 - 5\/6*d + h*d**2.\nAnswer: 5*(d - 1)*(d + 1)*(d + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005205 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 20*l - 153. Let i be h(26). Factor 0 + 0*c**2 - 2\/11*c**5 + 0*c + 0*c**i - 2\/11*c**4.\nAnswer: -2*c**4*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 91, 159, 255, 385, 555, 771?\n\"Answer: p**3 + 5*p**2 + 24*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(6\/7))**(-1\/55))**(-8\/3))**(-8) assuming y is positive.\nAnswer: y**(-128\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/21 (b) -0.4 (c) -0.8 (d) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 42306601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295170 to the power of 1\/2, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 116. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108685*s**3 - 224547*s**3 + 115859*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 295*y**4 + 4186*y**3 - 300665*y wrt y?\nAnswer: 3540*y**2 + 25116*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 2860\nAnswer: -7\/2860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(1681\/164)*(-2)\/(-28)*(-4)\/(-3).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510818.\nAnswer: 2, 7, 11, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4478021777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 16, -5*y + i = -31. Calculate the smallest common multiple of 5 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 9774.87.\nAnswer: 39099.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5))**34 assuming r is positive.\nAnswer: r**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 5*k + 1. Let h be o(-4). Calculate the highest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 9) to base 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -16. Suppose 2*y = -i, f*y + 13 = 4*i - 2*y. Solve 0 = i*x - 2 - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 14*m + 187 = 77 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 212868109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = -12. Suppose -m*q - 93 = 51. Calculate the common denominator of (-4)\/(-1) + (-9)\/q and 149\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-18) assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**5\/20 + 2*s**4\/3 - s**3\/2 + 5*s**2\/2 + 6*s. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*v - 7 = -31, 5*b - 2*v - 74 = 0. Let k = -15 + b. Does 3 divide ((-3)\/(-9))\/(k\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/69 (b) -9\/13 (c) -0.5 (d) -109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 12*s**2 + 34*s - 1. Suppose -69*m = -250 + 733. Give r(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 260610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*-2*360\/((-195)\/(-13))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d**2 + 0*d)*(-3*d**3 - 125*d**2 + 126*d**2 + d**3).\nAnswer: -2*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 201421775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -119, -3, 16 in decreasing order.\nAnswer: 16, -3, -6, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**4 + 326*s**3 - 13616*s**2 - 29640*s + 4477824 = 0.\nAnswer: -16, 23, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-332)\/(-266) + 2\/(-19))\/(-2)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299 + -122. Let d = -133 + m. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1538, -1536, -1532, -1526, -1518?\nAnswer: -1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/12)\/((-17)\/(-34))*-12. Suppose -4*s + 7*s = -a + 15, -a + r*s = 6. Calculate the remainder when 49 + -1 + (1 - 0) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2 + 2)*(3 - 3 + 1) + 2*f + 2 - 2 + 1 - 8*f - 1 + 26 - 26 + 16*f - 4*f + f + f + (1 + 2 - 5)*(0*f - 4*f + 2*f) + 2*f + 0*f + 0*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1894, -7600, -17108, -30418, -47530, -68444, -93160?\nAnswer: -121678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 540091493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 277? (a) 41\/3 (b) 121 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 2*j + 0*j)*(-2 - 4 - 1 + (-3 + 5 - 1)*(3 - 1 - 1)) + (4*j + 2*j - 2*j)*(3 - 1 - 3) as u*j + c and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 19*n - 102. Calculate the remainder when 213 is divided by d(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -2\/9 (c) 33 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -11875\nAnswer: 1\/11875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4 = -3*y - 20, -3*n - 3*y + 24 = 0. Which is smaller: n or 83\/18?\nAnswer: 83\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69174 is divided by 1674?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -22210012?\nAnswer: 22210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6933 by 2311.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 4*a - 2*c - 31, 3*a = 2*c + 6. Let g = 647 + -230. Suppose 10*b = -307 + g. Solve 4*s = z - b, 3*z - z - 14 = a*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2\/4 - 42669*h\/4 - 10668 = 0?\nAnswer: -1, 14224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*3 - sqrt(243))**2 - (sqrt(3) + sqrt(144)\/sqrt(3)) - ((-1*sqrt(147) + -3)**2 - sqrt(147) - (2*sqrt(147)*3)**2).\nAnswer: -40*sqrt(3) + 6108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 15. Let o be u(-11). Suppose 5*k + o = 22. Suppose 3*r = 4*m + 62, -5*r + 92 = 2*m - k*m. Calculate the remainder when r is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 707677, 707342, 707007, 706672, 706337, 706002?\nAnswer: 705667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(((y**(-1)*y)\/y)\/y))**(-1\/33)*y*y\/(y*y*y**(-2\/21))*y*y**13)**(2\/63) assuming y is positive.\nAnswer: y**(6470\/14553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvzvnk. What is prob of picking 1 f and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.369459 to one decimal place.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 10. Let a(n) = -69*n**2 + 2453*n. Give a(h(x)).\nAnswer: -276*x**4 + 2146*x**2 + 17630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15*q - 11*q + 22)*((4 + 0 - 2)*(-1 + 1 + 2) + 1 + 2 - 2).\nAnswer: 20*q + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 7 (c) -64 (d) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2813855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1 (base 12) to base 4.\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 7*a**2 - 3*a**2)*(a + 2 + 0*a - 3*a).\nAnswer: 16*a**3 - 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 21*v**5 - v**2 - 3*v. Let b(z) = -z**5 + z**2 - z. Let t(p) = -b(p) - c(p). What is the second derivative of t(o) wrt o?\nAnswer: -400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 4*(-3)\/(-12). Suppose -2*y - 7 = 3*c, -4*y + h*c = -13 - 13. Determine i, given that -1\/2*i**y + 0 - 1\/2*i**3 + 0*i**2 + 0*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13770 by -6885.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6657 + 6709 - 12946 + 3*h**2 - 117*h = 0?\nAnswer: 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -23 in descending order.\nAnswer: 0, -18, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*l - 102*l - 1601*l**3 - 51*l.\nAnswer: -1601*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + h + 2*h)*(-3*h**3 + 2*h**3 - 3*h**3) - 2*h**4 - 2*h**4 + 3*h**4.\nAnswer: -37*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014522626 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(208)*4 + sqrt(208) - sqrt(208)) + sqrt(208))\/sqrt(4).\nAnswer: -3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 87, 0.3, -8.87, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886*x - 884*x - 4 = h, 2*h + 4*x = 48. Which is the nearest to 2\/7? (a) -0.3 (b) -3 (c) 24 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134633 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-348)\/(-5) - (-14)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3, -1, -11, 506?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -49. Let f = c + -5. Suppose 71 = -f*x + 3*x + 5*k, 0 = 2*x + 3*k - 47. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14601 + 49199. Suppose 21*d - 22*d = -j - 11532, 3*d - y = 4*j. Round d to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 + -52. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 - 12*f**4 + 20*f**3 - 22*f + 12 = 0. Calculate f.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16.19 and 780316892.\nAnswer: 780316908.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:31 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 816933?\nAnswer: 81693.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 3336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65.5 - -66. Let f = 5\/124 + -283\/868. What is the third biggest value in 13, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 2*w**2 + 24*w + 2. Let i(l) = 4*l**3 - 9*l**2 - 97*l - 9. Let f(j) = -9*a(j) - 2*i(j). Find the second derivative of f(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 2*t - 104 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -673 - -338. Which is the third smallest value? (a) 1\/8 (b) t (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 6:38 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4)*w)**(-26\/9))**(-34)\/((w**(-1\/5)\/w*w*w**3)\/((w\/(w*w*w*w**1))\/w)**(6\/29)) assuming w is positive.\nAnswer: w**(155491\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 8*i + 50. Suppose -6*x + 3 = -i. Calculate the least common multiple of (-42)\/4*2\/(-3) and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8547693 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/16 and 115\/168?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15c8 (base 13) in base 4?\nAnswer: -302012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*s**5 - 536*s**4 + 3*s**3 - 14139*s**2 wrt s.\nAnswer: -420*s**2 - 12864*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 10*s + 7*h - 9 = -7, -66 = s - 0*s + 9*h for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/42 + 1\/7. Factor -x*y**3 - 1\/6*y**2 + 0 + 1\/6*y**4 + 0*y + 1\/6*y**5.\nAnswer: y**2*(y - 1)*(y + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 7220.\nAnswer: -1\/1805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*w = -0*w - 12, 5*w - 15 = 4*r. Suppose r = -5*a + a + 12. Let s = a + 9. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 9393.\nAnswer: 84537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 3, y: 1}. Give prob of sequence py.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15361, -30720, -46075, -61426, -76773, -92116?\nAnswer: -107455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 318360 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21132864 divided by -36?\nAnswer: -587024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttqtttqttbjt. What is prob of picking 2 t?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15228136 - 26439236. Round l to the nearest 100000.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {b: 1, w: 11, d: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5630.\nAnswer: 2, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(200) + -1))**2 + sqrt(200) + (2*(sqrt(200) + 1))**2 - (-5 + (1*sqrt(22) + sqrt(22))\/sqrt(11) + (sqrt(72)*-2)**2).\nAnswer: -632*sqrt(2) + 7757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -703 + 4924\/7. Factor 6\/7*c + 3\/7*c**2 + n.\nAnswer: 3*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 15 = k. Let v = k - -7. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2 + 33*m - 4. Calculate x(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12010122 (base 4) to base 14.\nAnswer: 90b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -17*a**2 - 9*a + 4. Let i(k) = -2*k + 1. What is 4*i(h) - v(h)?\nAnswer: 17*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 236 = 143*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 0 - 2*r**2 - 2. Let d(z) = -z**2 - 1. Let k(g) = -a(g) + 2*d(g). Let b(p) = -p**2. Give 5*b(m) + k(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-21) - 0)*(-14)\/(-21). Which is the second smallest value? (a) -0.1 (b) 2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2651\/45 + -274\/5. Let c = 104 - 259. Calculate the common denominator of f and 9\/(-7 + c)*-76.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.088, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -12151475?\nAnswer: -12151477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 4*x**6\/15 + x**4\/3 - 6*x. Find the third derivative of m(y) wrt y.\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**6\/f*f))\/f)\/f**5)\/(f**11\/(f\/(f**(7\/3)\/f))) assuming f is positive.\nAnswer: f**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 1. Let o(f) = -4*f**2 + f + 2. Let a(y) = -k(y) - o(y). What is a(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 4)*(3 + 1 - 6)*(-6*o - 121 + 121)*(1 - 4 + 1).\nAnswer: 96*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-58)\/1276)\/(1\/4). Which is the biggest value? (a) -2\/7 (b) -15 (c) i (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 3*j**2 - 1. Let m be (0 + 1)*(12 + -11). Suppose x = 1 + m. Let u be z(x). Let f(c) = -c**3 - 5*c**2 - c + 2. Determine f(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x*x)**(-41)\/(x**(-5)\/x**2))**1 assuming x is positive.\nAnswer: x**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 - 112*p**3 + 36*p**2 + 4032*p + 3888 = 0. What is p?\nAnswer: -27, -6, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 2. Let z = -45 - -47. Suppose -5*y + 3*g - 126 = 0, 0 = 3*y - z*g - 0 + 75. Let a(b) = -2*b - 56. Let i be a(y). Determine k(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 888ee + -69?\nAnswer: 88885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-49))\/(5\/(-20)*2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**(1\/2)*r)\/r)\/r)\/((((r*(r*r\/(r*r**(-6))*r)\/r)\/r)\/r*r)\/r)*r*r*r**3*(r**2*r)\/r*r)**(9\/2))**30 assuming r is positive.\nAnswer: r**(405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*10\/(-20)*63\/(28\/(-4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z + 67. Give v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -63*z - 6. Let l(g) = -3151*g - 299. Give 299*k(i) - 6*l(i).\nAnswer: 69*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/362 + 95\/543. Let r(a) be the third derivative of -i*a**3 - 1\/12*a**4 + 0*a + 0 - a**2 - 1\/60*a**5. Let r(f) = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1295*r**3 + 544*r**3 + 6353*r**3.\nAnswer: 5602*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.181 + 18.419. Let n = q - 19. Let h = 8 - 23\/3. Which is the nearest to h? (a) n (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379972361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 5*s + 2. Let y be g(-5). Suppose -f + 6 = y*f. Suppose 0*d + 22 = f*d. Calculate the lowest common multiple of d and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i + i**2 - 11*i - i**2 + i**2.\nAnswer: i**2 - 27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2310, 4606, 6890, 9156, 11398, 13610, 15786?\n\"Answer: -x**3 + 2303*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.70506 - 26.447. What is y rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atrbtttat. What is prob of sequence bar?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 46. Suppose x*q = 33 - 3. Let a(y) = -y. Let t(f) = 8*f - 1. What is q*a(w) + t(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*p - 367*p - 31 = 5*o, 0 = -15*p - 4*o + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 23. Suppose -f*z = -3*z. Suppose z = 3*c + 55 - 154. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 4:37 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59594 and 7180.\nAnswer: 595940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*w)*(w - 2*w + 3*w) + (-4 + 2 + 5)*(w**2 - 3*w**2 + 9*w**2).\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 10*l**2 + 0 - 205*l + 196*l + 8 + 9*l**2. Determine d(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 8:07 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5459 + 5468. Put 1\/2, -1, -0.8, -5, q in descending order.\nAnswer: q, 1\/2, -0.8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73075 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 v when three letters picked without replacement from yvvy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/7)*t))**0*(t**(-4)\/t)\/(t\/(((t*t\/(t**3\/t)*t)\/t)\/t)))**20 assuming t is positive.\nAnswer: t**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1778874347 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-4) - (1 + -54). Suppose -88 = -3*p + k. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*v + 77 = 72, 4*t - 4*v - 36 = 0. Solve o - t = 0, -4*p = -5*o - 2 + 47 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230553421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -5*p + 32. Let a be (-18 + 1)*(8 + (p - 1)). What is the highest common divisor of 289 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 1, d: 2, c: 2}. What is prob of sequence hdcj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t - 3*t - 5*t)*(-5 + 0 + 1 + 3 - 4 + 2 + (2 + 2 - 2)*(3 - 2 + 1))*(-1 - 2 + 6) in the form s + x*t and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {r: 7, o: 6, s: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) - (sqrt(5)*-4 + 4) - 1*sqrt(45))**2.\nAnswer: -32*sqrt(5) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 - 18 = 0, 4*i = 5*q - 30. Solve 27*w = 17*w - q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433032657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1943 - 1773.4. Let m = 310 - t. What is m rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 11. Give k(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(272) + 2 + (-4 + sqrt(17))**2.\nAnswer: -4*sqrt(17) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*d**3 + 68 + d - 2*d + 80*d**2 - 80*d**2 wrt d?\nAnswer: 147*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 266, 3, 7, 5, 2, 0, 9 in ascending order.\nAnswer: 0, 2, 3, 5, 7, 9, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.492 or 3\/38?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(1\/2)*k)*k*k**(2\/21))\/(k**2\/(k*k**2)))\/((k**1)**(-5)\/(((k**6*k)\/k)\/k**(2\/15))) assuming k is positive.\nAnswer: k**(2407\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1620 divided by 3\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1399?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r**4 + 1155*r**3 + 11796*r**2 + 27483*r + 16830 = 0. What is r?\nAnswer: -85, -33\/4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/10 - 4\/10. Suppose -p*w - 3*g + 1 = 0, 1 = w - g - 4. Let y(x) = -3 - 3*x**w + 4 + 1 - x**3. What is y(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 7 - (-7 + 2). Let s(m) = -2*m**c - 2*m**2 - 2 + 5*m**2 - 2*m**3 + 0*m - 2*m. Let v be s(-2). What is the greatest common factor of 33 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7229 + -7227. Let i = -2.5 + 2.2. What is the second biggest value in f, i, -0.07, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 17*w + 53. Let d be k(5). Solve 0 = d*p - 79 + 61 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1313032 - 10?\nAnswer: 1313022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/17)*l)\/(l\/(l\/(l**35*l*l))) assuming l is positive.\nAnswer: l**(-606\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000147225 to 7 decimal places.\nAnswer: 0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1843.\nAnswer: -5\/1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -356*r. Let o(x) = -7*x**2. Determine o(v(i)).\nAnswer: -887152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 14 - 9. What is the third smallest value in 0.4, 1\/5, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 - 2*l**2 - 2*l - 355*l**3 - 344*l**3 + 702*l**3 to r + q*l + i*l**2 + s*l**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203 + 195. Is (-12)\/i + (-131181)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a factor of 827479105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -f - 3*f - 8, f = 5*y + 15. Let p(g) = -10*g - 1. Let s be p(-1). Let o = s + y. Solve o*m + 5*h = -0*m - 15, -5 = 5*m - 5*h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/8 and -57\/148.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = 0, 3*v - 4*v + 2*a + 8 = 0. Let m(l) = -l**3 + 9*l**2 + 14*l - 1. Is m(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45711164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31827\/38 or 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -273155*i**3 - 48*i + 2792.\nAnswer: -1638930*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97945*m**5 + 4*m**3 - 4*m**2 + 84958*m?\nAnswer: 5876700*m**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 14272. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -7. Let z = 24 + i. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.045 + -0.165. Let u = -0.1201 - a. Round u to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 + 44*f + 79. Let w(o) = -100*o**2 - 485*o - 870. Let s(k) = -45*g(k) - 4*w(k). Factor s(m).\nAnswer: -5*(m + 3)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + ae2?\nAnswer: ae2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5950, 5990, 6036, 6088, 6146, 6210?\nAnswer: 6280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3005696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*z**2 - 2565*o*z - 3*o + 8793*z**2 wrt o?\nAnswer: 2*z**2 - 2565*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789 = -240*z + 89*z - 185. Let b(f) be the second derivative of -1\/3*f**z - 10*f**2 + 0 + 4*f**3 + 18*f. Suppose b(i) = 0. What is i?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 43 = -5*x, 3*x + 145*t + 30 = 144*t. Sort 5, 4, x in decreasing order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = 1515. Suppose 4*l + a = 2*a + t, -a - 379 = -5*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.5 and 3?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/11, 5\/2093 in descending order.\nAnswer: 2\/11, 5\/2093, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4 + 8*g**2 + 32*g - 31*g as j + o*g + h*g**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*u + 2*o, -24 = -3*u - 4*o - 0. Suppose 4*q - q - 12 = 0. What is the second derivative of -y**u - 3*y**2 + 3*y**2 + 4*y**q - 3*y wrt y?\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -7*a + 2*r - 50, 3*r + 12 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6\/20*(-80)\/60?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqqql. Give prob of sequence qq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2574 or -2579?\nAnswer: -2574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kwwwkvvwkwkwkvv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -1, -19, 3 in decreasing order.\nAnswer: 3, -1, -19, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -15389\/5 and 2\/28887 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 97*y**2 - 5079*y + 4646. Calculate x(31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13930, -55828, -125650, -223390, -349042, -502600, -684058?\nAnswer: -893410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*b**3 + 12 - 18 + 18 - 12.\nAnswer: 234*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.0461nm in kilometers?\nAnswer: 0.0000000000540461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 17*b - 13. Let o(x) = -x**2 + 17*x + 22. Let t be o(18). Let v(p) = 8*p - 6. Determine t*c(k) - 9*v(k).\nAnswer: -4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17007165 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - i**2 + i - 1. Let o(l) = 3*l**3 + 4*l**2 - 6*l + 3. Suppose -3*d + 133 = -71. Let v = d + -67. Determine v*o(j) + 4*w(j).\nAnswer: -j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.5454082 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 4:31 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqn when three letters picked without replacement from {n: 1, q: 1, x: 1, l: 1, s: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1\/2, -1 in descending order.\nAnswer: 1\/2, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2342 and 66384537966.\nAnswer: 66384540308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2 - 2)*(0 + 26 - 3) - i - 5*i + 5*i + (0 - 2 + 0)*(0*i - i + 0*i).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383997 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124750512*f**6 + 36560*f**2 + 15*f + 14.\nAnswer: -14970061440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*a + 1 = -15, -5*a = -5*b + 25. Let p(v) = -43*v**2 + 4. Let s be p(2). Let u = 170 + s. Solve -u*h + 3*h = b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 27 - 561*c - 614*c + 25 as m*c + t and give m.\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, x: 3, h: 4, i: 1, g: 1, n: 1}. Give prob of sequence eie.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -1) + 6 + -4 - (12 - 0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435992840?\nAnswer: 2, 5, 53, 205657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrhtqrqfl. Give prob of sequence frtr.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -268 + 270. Let m(f) = 2*f. Let s(i) = 3*i - 1. Calculate u*s(j) - 5*m(j).\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1079\/70 + -38\/35. Let h = -359\/22 - r. Which is the nearest to -2\/9? (a) 0 (b) 4\/9 (c) h (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 - 133. Calculate the remainder when (1*10 + 0)*2 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-78)\/15)\/(10\/(-25)). Let r = h - 7. Suppose -x = -r*x - 25. Put 11, x, -3 in ascending order.\nAnswer: x, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 s when three letters picked without replacement from {s: 4, f: 7, j: 1, q: 3, i: 2}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 1}. Give prob of sequence bb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/((-226)\/42 + (-10)\/35). Let d = w + 197\/102. What is the fourth smallest value in -1\/9, 1, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x + 2660 + 21040. Does 60 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.74 + -3.74. Sort 9, 1\/3, u in decreasing order.\nAnswer: 9, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 694 - 17*s + 0*s - 697 to the form j*s + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g + 5. Suppose 7*m - 2*m = 90. Let c(n) = -3*n - 1. Let b(s) = m*c(s) + 4*f(s). Give b(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9920947*-14.\nAnswer: -138893258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 2*f**9\/21 + 3*f**5\/20 + f**3\/6 + 62*f**2. Find the third derivative of z(h) wrt h.\nAnswer: 5760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28436377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*d**2 - 9*d**2 + 3111*d**3 + 38*d - 3108*d**3.\nAnswer: d*(d - 19)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**3 - 6*i**2 - 7*i + 1. Let u(q) = -7*q**3 + 5*q**2 + 6*q - 1. Let c(o) = 4*n(o) + 3*u(o). What is c(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*g**3 - 175*a**2*g**2*w**3 + 11*a*g**3*w - 6*g**3*w**2 + 2*g**2*w**3 wrt a?\nAnswer: -2*g**3 - 350*g**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Suppose 70 = n*x - 5. Suppose -h = 4*h - x. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 14*o - 26 + 8\/3*o**3 - 1\/4*o**4 + 4*o**2. Is 13 a factor of y(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2145 + -909. What are the prime factors of n?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(360))\/(sqrt(32)\/sqrt(4)*3)*-5.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxaqsys. Give prob of sequence xsl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*s + 40, 16 = -0*s + 2*s - h. Suppose -4*u + s = -8. Let x be -4*2*(-3)\/12. Solve x*b = -2*b - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-12) + (-3 - -4))*2802. What is a rounded to the nearest 10?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*b - b + 16, r + 5*b - 14 = 0. What is the common denominator of (2\/(-8))\/(r\/(-195)) and -47\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 13 = -2*j, 2*y = 11*j - 8*j + 13. What is the second biggest value in 5, y, -152?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/18 or 1857?\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 186?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 7*z**2 - 8*z + 17. Let c be b(6). Solve 2*a = 7*a + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12309 + -12219. Put -0.6, -4\/5, 0.1, 5, l in decreasing order.\nAnswer: l, 5, 0.1, -0.6, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 2*n + n**2 + 27*n**4 - 2*n**3 - 24*n**4 in the form g + s*n**4 + o*n**2 + l*n + f*n**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s - 12. Give x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 298\/(-14) - (154 - 175). Let k = 59 - 92. What is the second smallest value in -6\/11, k, c?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142388*q**4 + q**3 + 4*q**2 - 59975*q wrt q?\nAnswer: 3417312*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 1 + (-9 - -4) - 22514009. Let r = x - -12114009. Round r to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*9\/((-45)\/(-40)). Let l be -4 + (-1)\/(4\/d). Put 2\/9, 1, l in ascending order.\nAnswer: 2\/9, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7594654186 to the power of 1\/3, to the nearest integer?\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1\/35, 1.9, 1\/6, -202, -4 in ascending order.\nAnswer: -202, -14, -4, -1\/35, 1\/6, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5.2 (b) 0.2 (c) 5929\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.361 - 0.061. What is the closest to q in -0.4, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*p - 2595379 = 0, 3*q + 0*p - 4*p - 1946503 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4634 - -12885. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 0 + 0 + 2*z**3 + (3 - 6 + 2)*(z**3 + 0*z**2 + 0*z**2) - z**3 - z + z - 2*z**3 + 0*z**3 + z**3 + (-13*z**3 + 133*z**2 - 133*z**2)*(-91 + 14 - 75).\nAnswer: 1975*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 357347120 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667522321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 8. Let j be m(6). Let b = 977 - 624. Let n = b + -344. Let h(r) = -4*r**2 + r - 1. Let v(t) = 17*t**2 - 3*t + 4. Give j*v(i) + n*h(i).\nAnswer: -2*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2 + (-57)\/(-27)). Let z be ((-12)\/b + 1)*-1. Which is bigger: -1\/6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5, 0 = -k + 5*f + 21 - 12. Let i = 2.42 - -0.08. Let h = 0.5 + i. Sort 5, k, h in descending order.\nAnswer: 5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a - 16. Let y be b(3). Suppose -y*v = -10*v + 1664. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109656949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -36*q**2 - q + 144*q**2 - 42*q**2 - 33*q**2 - 32*q**2. Let a(b) = -b**3 + 11*b**2 - 10*b + 4. What is -2*a(t) + 22*s(t)?\nAnswer: 2*t**3 - 2*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -7 - -3) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -259. Let t be (-85085)\/(-275) + 2\/(-5). Let m = t - 284. Calculate the remainder when a is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11332102 - 4?\nAnswer: 11332054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 32, 48, 60, 68?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b + 2. What is the tens digit of p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140520.51*0.5\nAnswer: -70260.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 778400 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12793, 12771, 12761, 12769, 12801?\n\"Answer: j**3 - 29*j + 12821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -6, 5, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.126 and -0.04.\nAnswer: 0.08504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194581.5 litres to millilitres.\nAnswer: 194581500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*g = -2*g - 14, -g = -3*q - 13. Let f be (q\/(-4))\/(3\/4). Let c = -2 - -3. Do c and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*k**2 + 313*k wrt k.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**3 - 6*s**2 - 4*s + 4. Let n be y(-3). Suppose -5*v + x = -3*x - 161, -2*v + n = 4*x. What is the remainder when 131 is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -449 + 1126. What are the prime factors of x?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111311 + -1333?\nAnswer: -113310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 6. Suppose 2*v + v = -18. Let i be d(v). Suppose 64*b - 89 + 3 = 106. Solve 0*g - b*g - 6 = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Solve 9 = -r*u - u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73572075 and 2425.\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 9*o**2 + 11*o + 11. Calculate w(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2\/15, 2\/3, 1235?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-4)\/(2 + -26)*4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 23 + 47. Suppose 2*n - g = 24. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -3 + 4\/4 + 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -951633, -951640, -951647?\nAnswer: -951654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*(q\/q**(1\/2))\/q*q)\/q*q)**(-10\/11))**(-20\/7) assuming q is positive.\nAnswer: q**(500\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/8*(4000\/75)\/(-40)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 - 15910872*l\/5 - 21096320650032\/5.\nAnswer: -3*(l + 2651812)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**3\/6 - 8*p**2 - p. Let j be (119\/(-14))\/17 + 1\/2. Calculate l(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/378 and 23\/6635790.\nAnswer: 6635790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g*g*g*(g*g*g\/(g\/g**(-4\/3))*g)\/g*g))*g**(-6)*g)**9)**(-36) assuming g is positive.\nAnswer: g**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v - 219*v + 6079 + 8428 = 2667 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -5, 79, -2.\nAnswer: -19, -5, -2, 2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -30 - 7290\/360.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 + 2*v. Let i(d) be the third derivative of -7\/24*d**4 + 1\/12*d**6 - 10*d**2 + 0 + 0*d + 0*d**3 + 0*d**5. Calculate 2*i(o) + 7*x(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.80902 litres to millilitres.\nAnswer: 32809.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 4*c**2 - 3*c. Suppose 16 = -4*j, -4*t + 2*j - j = -12. Let w be s(t). Find the third derivative of i**w - 4*i**2 + 2*i**2 - i**6 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w - 55. Let k be 15 - -63*15\/(-35). What is a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -46, -60, -80, -106?\n\"Answer: -3*z**2 + z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 804398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p + 0*p**3 - 7*p**2 + p**3 + 4*p**2 + 1 - 2. Let b be m(2). Factor 8*j**2 - 6*j - 13*j**b + 14*j**5 - j + 3 - 2*j**4 - 2*j**3 - 1.\nAnswer: (j - 1)**4*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218260.7 litres in millilitres?\nAnswer: 218260700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*u - 1991 - 745 = -203*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by 4.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 + -10.1729?\nAnswer: -9.3729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 39*k**2 + 10*k**2 - 25*k**2 to v + f*k**2 + d*k and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 5*u**4\/2 - 71*u**2\/2 + 139*u. Find the first derivative of r(z) wrt z.\nAnswer: 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 3*j + 279 = 0. Suppose j*w = -3*k + 30*w + 1351, 4*k - 1801 = -w. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {b: 1, h: 2, e: 7, z: 1, x: 3}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**3 - 240060*p**2 - 2400852*p - 3841440 = 0.\nAnswer: -8, -2, 80030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -9. Let g = -0.2 - -0.3. Put -5, p, g, 2\/9 in descending order.\nAnswer: p, 2\/9, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4550*w - 2295*w - 66 - 2199*w.\nAnswer: 56*w - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*c + 55*c + 4*n - 34, -7*c - 5*n = -44 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, k: 4, r: 2, z: 1}. Give prob of sequence rr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i**2. Let r(d) = 2897*d**2 - 8. Give r(g(w)).\nAnswer: 651825*w**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 s, and 1 t when three letters picked without replacement from tcbtbcocccccsetc.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/36)\/(2*(-3)\/(-72))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 112*r**2 - 37*r**2 - 4.\nAnswer: -149*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 = 4*y - 18, 0 = -5*o. Let h = y + -5. Suppose h*d - 9 = 2*d. What is the smallest common multiple of 10 and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - o**2 - o**2 - o**2 - 2 + (2 - 2 + 3*o)*(-5*o + 4*o - o).\nAnswer: -9*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 766 and 18?\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 67621, 67609, 67599, 67591?\n\"Answer: u**2 - 15*u + 67635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 66 = 2*g. Solve 5*b - 20 = 3*h - 4*h, 4*h - 3*b = g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3381879102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -202.1 (b) 0.5 (c) 0.2 (d) 1\/97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 2*l + 54. Suppose 2*c = l - 138. Is -66 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178 - 340 + 958*i + 162 to the form m*i + p and give m.\nAnswer: 958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.132064kg to tonnes.\nAnswer: 0.003132064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13925, 267, -1 in ascending order.\nAnswer: -2, -1, 267, 13925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/3)\/(-4)*(-229)\/(57708\/432)?\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11d1 + 7?\nAnswer: 11d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21939240?\nAnswer: 2, 3, 5, 23, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqqxqxqqqqqiqq. What is prob of picking 2 i?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -45, -105, -205, -351?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 3*w**2 + 2*w**2 + 2*w - 3*w**2.\nAnswer: -4*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2432 by 19.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23272 + 255*g - 23272 + 3*g + 3*g - 8*g + (-3*g + 5*g + 0*g)*(-1 + 2 + 1).\nAnswer: 257*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*0\/(-3)*2\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from tqqatatooatot?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 192\/(-16) + -4 - -13. Let d(w) = 34*w**3 - 3*w**2 + 3*w. Let v(c) = -67*c**3 + 5*c**2 - 5*c. What is g*v(n) - 5*d(n)?\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/194269 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1605 = 2*a + 4*c - 1445, 0 = 3*c + 15. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 3446*i**2 - 497729*i + 5. Let r(a) = 1722*a**2 + 248871*a - 3. Let z(y) = 3*q(y) + 5*r(y). Factor z(g).\nAnswer: -3*g*(g + 288)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - w**5 + 0*w**4 + (-3*w**2 + 5*w**2 - 3*w**2)*(-4*w**2 + 4*w**2 - 10*w**3) - 2*w**5 - w**5 + 2*w**5.\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -45*k - 20. Let j(d) = -39*d - 27. What is 5*c(x) - 6*j(x)?\nAnswer: 9*x + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39 - 4)\/((-3)\/3). Suppose y + 5 = x. Calculate the greatest common factor of 72 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*t - 43 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 2\/5, -4, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37810\/757 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -125242?\nAnswer: -125243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - 2*m)*(2 - 2 + 2*m) + (-3*m + 0*m + 4*m)*(-4*m + 0*m + 6*m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 292\/1937?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6630*a + 4143*a - 2 + 3844*a + 0.\nAnswer: 1357*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 29 = 14*t - 8*q, 4*q - 21 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + j + 4)*(-3*j**2 + 0*j**2 + 2*j**2)*(3*j - 12*j + 2*j) in the form k*j**3 + z*j**2 + y*j**4 + p*j + u and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7 - 3*i + 6567*i**2 + 3506*i**2 + 3. Let c be x(-1). Suppose -7*w = w - c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, -220, -619, -1016, -1411, -1804, -2195?\nAnswer: -2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4617062 millennia in centuries?\nAnswer: 4.617062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**4\/6 - n**3\/2 + 3*n**2 + 22. Suppose -w - 35 = -4*p, 2*w - 3 = 3*w. Suppose d + 3*d = p. What is b(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 0.0046, -0.5, 11, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40506 and 22922.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*n - 1508\/5*n**2 + 504\/5 - 6\/5*n**3 = 0.\nAnswer: -252, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z**2 + z - 48 + 48)*(-2*z**2 + 5*z**2 + 11*z**2)*(z - 2*z + 0*z) + (-z**4 + 2*z**4 + 2*z**4)*(-1 + 1 + z).\nAnswer: 199*z**5 - 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2303738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.29737 and -1572446315.\nAnswer: -1572446314.70263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*o + 44. Let a be (9 - 46)\/(3\/o). Let k = a + 74. Solve k = -2*c - x + 5, -2*x = 2*x - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 - v**5\/15 - v**4\/6 + 5*v**3\/6 - 5*v**2. Give z(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4689*f + 67276 = -115595 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3928022 rounded to the nearest ten thousand?\nAnswer: 3930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 60*z - 18. Let s(p) = 148 - 17*p + 170 + 158 - 471. Calculate -18*s(j) - 5*v(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.22 and -25580.\nAnswer: -25580.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 2 - 14. Let m(w) = -57*w - 60. Let g(n) = -58*n - 59. Let q(h) = o*g(h) - 3*m(h). Differentiate q(b) wrt b.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/31 in 7\/3, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19 and -2098659.\nAnswer: 398745.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:57 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 64. Let h = -20 + 9. Let n = s + h. Solve m + n - 3 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776077 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/3 - 77157016*q**2 - 1116225882472528*q + 6697356220719392\/3.\nAnswer: -4*(q - 2)*(q + 28933882)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 5*j + 6. Let d = -15 + 9. Let z be h(d). Suppose l - 8 = 5*b, -2*b + b = -l + z. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2. Let i be (-10)\/(-50) + (-11)\/5. Let t be 5 + i + (-2)\/2. Let k(l) = 3*l - 3*l - 4*l**t + 2*l**2. Give y(k(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u - 61. Calculate the least common multiple of 15 and d(14).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -31694.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -249, -494, -737, -978?\n\"Answer: s**2 - 248*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*((sqrt(1088) + -1)*-3 + sqrt(1088))*6 + -1).\nAnswer: -1152*sqrt(17) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2655 and 1416?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66462372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7169870812 to the power of 1\/2, to the nearest integer?\nAnswer: 84675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 12 + 6*v**2 - 14. Let j(q) = -29*q**2 + 9. Let s(f) = 9*i(f) + 2*j(f). Let o(z) = -z**2. Give s(o(c)).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -45. Suppose -10 - 2 = -b*d. Suppose 0 = v - 5, -2*o + 0*o = d*v - 8. Sort 0, o, -5 in increasing order.\nAnswer: -5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*a**2*b**2 - 2*a**2*b*z + 4*a**2 - 6*a*b**2 + 3*b**2*z + 2*b + 134*z wrt b?\nAnswer: 26*a**2 - 12*a + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 10020006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 726*y**3 + 26*y**2 - 703*y. Let x(c) = -13*c**2 + c. Let w(j) = -h(j) - 2*x(j). Find the second derivative of w(z) wrt z.\nAnswer: -4356*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -648910.8 + -0.28?\nAnswer: -648911.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n + 13*n + 2*n. Let t(k) = 23*k**2 - 7*k. Suppose 45*q - 17 = -197. Let o(d) = 13*d**2 - 4*d. Let y(w) = q*t(w) + 7*o(w). Give u(y(r)).\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - a - 1 = 0, 2*a = -4*n + 4*a - 10. Let b = n - -8. Solve d = b*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1935 and 10985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwxzzzzbzw. Give prob of picking 1 b, 1 g, and 2 w.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -5, -15178.\nAnswer: -15178, -5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1408898303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - 3*s**4 - s**4 + (-7*s + 3*s - 4*s)*(s**3 + 4*s**3 - 2*s**3) + (-2*s**2 - s + s)*(5*s**2 - 3*s**2 - 4*s**2).\nAnswer: -22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171 - -179. Suppose -37 = -9*s + g. Sort -4, -1, s in decreasing order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a*a*a\/a**(-14)*a))\/a))\/a*(a**(-21)*a)\/a)**(-1\/27) assuming a is positive.\nAnswer: a**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 63*a - 499. Give p(-53).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64014 - 736*l**2 - 33*l**4 + 64014 wrt l?\nAnswer: -792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*c - 21423, 4*c - 265*g - 28565 = -270*g. Is 238 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 2. Let u(i) = i**2 - 6*i + 5. Suppose -28 = -5*m + m. Calculate the remainder when u(m) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-5)\/o*o*o)\/(o*o**(1\/6))*(o*o\/(o*(o**(-2)\/o)\/o)*o)\/o**(1\/5)*(o**(3\/11)*o\/(o\/((o*o**(2\/5))\/o)))**(-41) assuming o is positive.\nAnswer: o**(-8563\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -2 - -2 - (-3 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -34*t + 37*t + 9 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k - 66*k = -1672. What is the highest common divisor of 95 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -14) + 1 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 195 - 393)*(12*w - 12*w + 5*w**2).\nAnswer: -2925*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -1110111111011111?\nAnswer: -1110111111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 156, 3*v - 2*b + 0*b + b - 3*b = 159 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.029? (a) -1\/6 (b) 1 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {i: 2, d: 2, h: 1, q: 1, n: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192883 is divided by 100.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63242 at least as big as 442688\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1067 - -1066. Which is the nearest to 1\/3? (a) 0 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/(24\/(-3))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y**(-9))*y)*y**19 assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f. Let g(m) = 6*m - 18. Determine w(g(y)).\nAnswer: 12*y - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**2 - 44*l + 36.\nAnswer: 4*(l - 1)*(2*l - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = r + r. Is -6 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.2. Let y = 84.5 + -84. Let f be 2\/8 + 9\/(-20). Which is the nearest to -1\/4? (a) f (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -4*d. Solve d*n - n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 - 1021 + 195 + 208 + 207 + 214 - 4*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 13. Let p(g) be the first derivative of -g**2\/2 + 6*g - 3. Let r(v) = 6*j(v) - 13*p(v). Let y(c) = -3*c. Give r(y(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 235, 312, 339, 292, 147, -120?\n\"Answer: -4*o**3 - o**2 + 108*o + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 11*l**2 - 26 - 24 + 3*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(77)\/sqrt(7))**2 - (-2 + sqrt(99)\/(sqrt(9) + sqrt(441)))**2.\nAnswer: sqrt(11)\/2 + 25077\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1882 - -1100. Let z = -847.9 - n. Let k = z - -66. Is k less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4171 + -3713. Calculate the remainder when 470 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = -5*f. Find the common denominator of (-15 - 1969\/(-110))\/((-8)\/(-10)) and ((-71)\/f - -1)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u, -k = u + 3*u - 24. Which is smaller: 16 or k?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 20*u - 24 = 0. Which is the nearest to u? (a) 6\/7 (b) -1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/6 + 1641*f**4\/2 + 8345633*f**3\/6 + 5282684705*f**2\/6 + 117092675303*f + 3252794275340\/3 = 0. What is f?\nAnswer: -1583, -164, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 158*y**2 - 372*y + 4298. List the prime factors of a(12).\nAnswer: 2, 23, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*v + 424278 = 167*v. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2266 times 1?\nAnswer: -19.2266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {z: 1, c: 5, r: 3, m: 3, a: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - -0.2. Let n be 344\/34 + -10 - 133\/119. Which is the closest to n? (a) -0.05 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74568645.\nAnswer: 3, 5, 23, 72047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -337 - -335. Let p = 0.02 + 0. Let t = p + -0.32. Which is the second biggest value? (a) t (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d**(-3\/5))))\/d**(7\/2))**21\/((d**(1\/3))**(-3\/26)*((d*d*(d**(-2\/9)\/d)\/d)\/d)\/(d\/(d*d**(-1\/5)))) assuming d is positive.\nAnswer: d**(-24944\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 30. Let y = 3 + f. Suppose -3*w - y*h = -4*w - 10, 30 = w + 5*h. What is the greatest common factor of w and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2025 divided by -3\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j + 4*j)*(2*j - 1 + 1) - 50*j**2 - 6*j - 54*j**2 + 97*j**2.\nAnswer: -5*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*r**5 + 3*r**4 + 18*r**2 - 4 wrt r.\nAnswer: 480*r**2 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 5, 9\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.82 + 0.98. Let q = x + -10. Let s = -0.384 + 0.084. Which is the second smallest value? (a) s (b) q (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2807400 to the nearest 10000.\nAnswer: -2810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112198977 * 0.3.\nAnswer: 33659693.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 68 = 4*l, 0*r - 5*r + 30 = -16*l - 230 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0.4, 3\/4, 2\/11, 0.052027?\nAnswer: 0.052027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2199 - -2202. Sort u, 5, -109, 2 in ascending order.\nAnswer: -109, 2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143*o**2*x**2 - 46*o**2 - o*x + 2*x**2 + 21 wrt x.\nAnswer: -286*o**2*x - o + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(sqrt(68) - 4*-1*sqrt(68))**2 - ((2*sqrt(68)*-2 + sqrt(68) + sqrt(68))\/(sqrt(196)*2)*-5)**2.\nAnswer: 82630\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 6.9. Which is the nearest to t? (a) 5\/4 (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227083456 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 7, v: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovaaovvvgvvogvvwaow. What is prob of picking 1 a and 1 o?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 6) to base 9.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 + 6*j**3 + 10*j**3 + 42*j**2 - 42*j**2.\nAnswer: 26*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2309363 less than 0.39?\nAnswer: 2309363.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 1, a: 4, s: 4, g: 2, u: 2}. What is prob of sequence guaw?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*-4 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 17547773.672 and 0.2.\nAnswer: 17547773.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-56)*-26 - -3. Which is the nearest to r? (a) -2\/15 (b) 0 (c) 2\/19 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 - 3*v + 2. Let o be p(-2). Solve l - 10 = 2*x, 10 = -o*x + 2*x - l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44685132 and 13146.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -97*p**2\/2 - 9*p - 80. What is the hundreds digit of h(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 15. Let z(l) = -2*l - 1. Give z(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/78 or -1?\nAnswer: 19\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13232\/7 + -1962. Is q != -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4 - 468*m**3 - 3572*m**2 - 9228*m - 7848 = 0. Calculate m.\nAnswer: -109, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 = a, 0 = -3*a - a - 3*t + 29. Solve a*i = 9*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.13, -13, 0?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -15*u - 3. Suppose 52*s + 9 = 15*s - 28. Determine m(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 97*k**7\/14 - 19*k**4\/12 - 15*k**2\/2 + 3*k - 113. What is the third derivative of a(b) wrt b?\nAnswer: 17460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 2*x + 61, 112*x - 108*x = 2*q - 14 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 26*m**2 - 23*m + 73. Let r be f(3). Calculate the highest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-4 + (sqrt(80) - (sqrt(80) + -1))*3)*-4 + -5))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003477745 to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2 - 77584*h + 4883823 = 0 for h.\nAnswer: 63, 77521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**4\/12 - x**3\/2 - 4*x**2 - x - 5. Suppose 0 = -a - 6. What are the prime factors of g(a)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 711 = 1894. Which is bigger: j or 2604?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 417346 + -8?\nAnswer: 417337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247979489 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1124 = 3*j - 2179. Suppose j = 5*l - 414. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(19) - sqrt(171)\/(sqrt(9)*-2))**2 - sqrt(95)\/sqrt(5)*5) + 1.\nAnswer: -851\/4 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -763 (base 9) in base 6?\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 165\/2*d**3 + 232*d**2 - 1\/2*d**5 - 160*d + 11*d**4 = 0. What is d?\nAnswer: 0, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/((z*z**(2\/3))\/z))\/z)**(1\/55)\/((z*z**(4\/7))\/(z*z**(10\/9))) assuming z is positive.\nAnswer: z**(1891\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2467827*s**2*y**3 + 2*s**2*y + 77197*s*y**2 wrt y.\nAnswer: -14806962*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13 - 110*s - 41*s + 4 + 342*s - 550*s**5 + 229*s wrt s.\nAnswer: -11000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/14)\/(45\/20)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/135*(-40)\/60?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, m: 12, u: 1}. What is prob of picking 1 u and 1 t?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12709, 25419, 38129, 50839?\nAnswer: 63549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19\/11 (b) -1.8 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 10*f - 9. Calculate c(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -11. Suppose -2*x = k*h - 330, -3*x - 197 = -2*h + 23. Calculate the remainder when h is divided by 3*1\/(-18)*3*-74.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -235, -4, 3, 1, 2\/11?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let c be z\/4*-1*4. Determine u so that 3*u**2 - 3*u**c + u**3 - u**2 - 2*u = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - 3*r**4 - r**3 - 618*r + 315*r + 2*r**3 + 305*r + 51 to the form w*r**3 + p*r + t*r**2 + m + x*r**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 3011000320?\nAnswer: 3011000321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - f - 2. Let k be z(2). Let y = 1 + k. Let w = 9.4 + -9.4. Which is the biggest value? (a) y (b) w (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2601000 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/16)\/((-1)\/4). What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*s - 187*s + 708 = 0. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -158 - -10?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -22*l**3 + 35*l - 127. Let a be h(7). Are a and -7430 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -48, -75, -112, -159, -216?\n\"Answer: -5*u**2 - 2*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6322013.1 minutes in days?\nAnswer: 4390.286875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*d**2 - 25*d**2 - 18*d**2 to the form f*d**2 + n*d + v and give f.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2775787*c**6*w - 22*c**4*w**3 + 93660*c**2*w**3 + 57*c**2*w**2 + w**3 wrt c?\nAnswer: 333094440*c**3*w - 528*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150462795.\nAnswer: 3, 5, 7, 1432979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 10, 51, 132, 265, 462, 735, 1096?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = 5*k - 24, c = 5*k - 20. Suppose 0 = 3*n - 4*j - 384, -n - c*j + 128 = -0*n. Calculate the highest common divisor of n and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + x)*(2*x**2 - 2*x**2 - x**3) - 41*x**4 + 7*x**4 - 18*x**4 + 7*x**4 - 9*x**2 + 9*x**2.\nAnswer: -46*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - x + 6*x - 20, 0 = g - 2*x - 20. Find the second derivative of 26*i + 3*i**5 - 34*i + g*i wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -98. Let y = 23\/15 + -7\/10. Which is the smallest value? (a) 2\/3 (b) y (c) -4\/5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 3. Let q be c(-5). Let r = q + -8. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -74?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56628642 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o**3 - 26*o**2 + 26*o + 26. Let z(d) be the third derivative of d**6\/120 - d**5\/20 + d**4\/8 + d**3\/2 - 76*d**2 - 44. Give 6*g(k) - 52*z(k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f - 2*y + 140, 42*f - 44*f = 36*y - 32*y + 44 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6104203 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 + 0.92. Which is the third biggest value? (a) l (b) -2 (c) 3 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 6)*(-b - 2*b - 2*b) + 0 + 0 + b.\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, w: 5, v: 2, j: 1, u: 2}. What is prob of picking 1 u and 1 k?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/16, -25 in decreasing order.\nAnswer: 4, -1\/16, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, i: 14}. What is prob of sequence iiij?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*n + 1179 - 1179)*(-10 - 1 + 1) in the form j + s*n and give s.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + t, -12*t + 16*t = -3*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4*(1 + sqrt(180)) - sqrt(180))*-1)**2.\nAnswer: 576*sqrt(5) + 6544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 426258562 to the nearest ten thousand.\nAnswer: 426260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 30*k**2 + 57*k + 234. Let q be b(32). Let g(y) = -y**2 + 14*y - 40. Give g(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgvvddvvgvvv. What is prob of picking 1 v and 1 g?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 98*q - 5. Is h(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2173, 4346, 6519?\n\"Answer: 2173*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*q - 4665, 3*a + 0*a - q - 4645 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -269*r - 2341. Determine h(-9).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8 - 3 - (4 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 22*b - 17*b = 1815, -t + 1785 = -5*b. Calculate the remainder when t is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92516 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -765, -1534, -2303, -3072, -3841?\nAnswer: -4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9*f)\/(f\/(((f*f**(-5))\/f)\/f))*(f**0\/f)\/(f*f**(-6\/5)) assuming f is positive.\nAnswer: f**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 5*w**2 + 3*w + 2. Let j be l(4). Let g = 26 + -18. Let z be 3\/((60\/g)\/(-5)). Does z = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133517044?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 2*o - 12, 17*o - 21*o = -4*k - 24 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43 + 0.03. Let j = 3.351878 + -0.051878. What is the second biggest value in 4, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1070 by -9.\nAnswer: -1070\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -216 + 221. Sort p, -5\/22, -2\/11 in ascending order.\nAnswer: -5\/22, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 - 18*f**2 + 4*f + 3. Let l(y) = -5*y**3 - 18*y**2 + 5*y + 4. Give 4*h(u) - 3*l(u).\nAnswer: -u**3 - 18*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4050 + 4750. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*t - 75*t + 1260 = 0. Calculate the greatest common factor of t and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 6*b**2 + 10. Let i be s(6). Calculate the highest common divisor of 110 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5094*c = 1669*c - 2026*c + 3732*c - 956997 for c.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f - 9. Let c(z) = -43*z + 25. Let s(k) = -3*c(k) - 8*l(k). Let m(u) = -11*u + 2. Suppose 4*j + 16 = -4. Determine j*s(d) - 8*m(d).\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 108 = -7*m. Let c be (-4)\/m + (-1420)\/(-65). Which is smaller: c or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84295 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26912*w + 5*w**2 - 26912*w.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)\/(-11 + 21642\/1968). Suppose 2*c - r = -104. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/270? (a) 1485 (b) 0.1 (c) 2\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 - 122010?\nAnswer: -120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-5)*x**(4\/3) assuming x is positive.\nAnswer: x**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -263057, -526124, -789191, -1052258, -1315325?\n\"Answer: -263067*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4756364, 9512777, 14269192, 19025609, 23782028?\n\"Answer: i**2 + 4756410*i - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5395974 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003615572 to five dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615 and 11835.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -627103.6637 + 627050. Let w = 53.6 + z. Round w to 3 dps.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 + 4*z - 4. Let i(h) = -9 + h**3 + 0*h - 4 - 42*h**2 + 51*h**2 - h. Let g be i(-9). Let p(y) = -6*y**2 + 5*y - 5. Calculate g*p(o) + 5*f(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p - 26*p - 2*p - 2 - p - 1 + 1 + (-2 - 1 + 1)*(-p + 4*p - 2*p) - 2*p + p + 0*p + p - 4*p + 4*p.\nAnswer: -36*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18182, -36563, -54944, -73331, -91730?\nAnswer: -110147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1724)\/(-28) - 8\/14 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -837 + 915. Suppose c = 4*w + n, 70*n = w + 65*n - 9. Let u be (38\/4)\/(1\/2). Calculate the greatest common factor of w and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != -0.218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 7*d**2 - 3*d + 3. Let x(u) = u**3 - 6*u**2 - 3*u + 3. Let s(o) = 4*t(o) - 5*x(o). What is s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 i when three letters picked without replacement from {m: 1, o: 1, u: 4, c: 1, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5046708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = -2*p, -3*w - 2*p - 10 = -6*w. Let j = 2 - w. Suppose 1886 = j*t - 5*y, -2*y + 4781 = 5*t + 2*y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9*p - 348 = -8*p, 2*r + p = 356. Let d = -156 + r. What is the greatest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3472 (base 9) in base 13?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:18 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 440 = -7*u. Let n be (35\/(-14))\/(-1)*u\/5. Solve 5*y + n - 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 16 = -4*c, c + 4*s = 4*c + 12. Let p = -2 - c. Suppose -2*h = 3*k - 91, -2*k = -2*h - 47 + 3. Solve k - p = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10795 (b) -465 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 16*m**2 + 64*m + 2. Let d be s(8). Solve -4*j + 16 = d*h - 0*h, j - 3*h - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -605816*i. Let o(z) = -130*z - 1. What is d(o(q))?\nAnswer: 78756080*q + 605816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3179 - 3124. What is the remainder when 748 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - 3220\/(-90). Let f be ((-5)\/(15\/v))\/((-9)\/6). Solve -5*b + 3*b = f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.00559 + 12.99441. Which is the closest to o? (a) 1 (b) -0.4 (c) -6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(98) + -1 + 2 + (sqrt(98) - (sqrt(98) + 1*(0 + sqrt(98)))) + -4)**2 + 1) + 1 + -4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.132485*0.2.\nAnswer: -0.226497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 17*n**3 + 12*n**3.\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10918 - 10902. Solve j + p = -3*f, 4*f + 113 = -4*j + 81 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*k - 1332 - 234 = 0, 1 = -k. Calculate the remainder when x is divided by 58.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5)\/(-6)*(9282\/(-140))\/(-17).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.149164 to three decimal places.\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -8)*2 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22329904 + -3\nAnswer: -22329907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6112 is divided by 698?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 - c + 9. Let v(q) = q**2 - 2. Let d(y) = 2*j(y) + 9*v(y). Let a be ((-10)\/(-4))\/((-2)\/(-4)). What is the tens digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -13. Suppose -f = -2*x + 2. Let a = x + 10. What is the greatest common divisor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1089 * 26.97.\nAnswer: -29.907033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = 2. Let j(d) be the first derivative of -d**3 + d**2\/2 - 441. Give j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71141\/24 - -2963. Find the common denominator of w and 151\/300.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40525164.\nAnswer: 2, 3, 375233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9263 - 0.0737. Which is the closest to -10? (a) -1 (b) 2 (c) y (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 - 2543 = -215*q + 392. Let l be (-4 + -21)*(0 - 1). Solve q*j = 20*j + l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 2151\/359 + -45 + 39. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 29, 83, 163, 269?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*l - 38*l - 52. Let i be (-3)\/12 + (-106)\/(-360). Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b23 (base 15) to base 7\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 310*x**3 - 3*x**5 + 331*x - 254*x - 590*x wrt x.\nAnswer: -60*x**3 + 1860*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 295, -2 in descending order.\nAnswer: 295, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**2\/5 + 1819737*q\/5 - 3639414 = 0.\nAnswer: 10, 606569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/12, 3, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/7, 13, 23, 2, -2\/11.\nAnswer: -2\/11, 3\/7, 0.5, 2, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 20305 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:34 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1184*v. Let i(h) be the third derivative of h**4\/12 + 3348*h**2 + 2. What is w(i(t))?\nAnswer: 2368*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*0\/17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/37, 0.2, 43 in decreasing order.\nAnswer: 43, 0.2, -3\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-8)*32\/(-12). Let q be -4*1 - (5 + s). Does q = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 892, 1760, 2628, 3496, 4364, 5232?\n\"Answer: 868*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 - 6*p**2 + 8*p + 7. Let f = 56 - 61. What are the prime factors of l(f)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1))\/((2\/4)\/((-6)\/4)). Let h(s) be the third derivative of -1\/24*s**4 + 1\/60*s**5 - s**2 + 0*s + 0 + 1\/6*s**3. Determine h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7. Let s be 21\/6 - 4 - -12. Let f = s - 12. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -66\/5231, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-80 + 55) - (6 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2378486 and 4818.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 0.05, -1\/3, -106, -3\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -174483, -174484, -174485, -174486, -174487?\n\"Answer: -z - 174482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 322\/5 + -3989\/60. Let p be 3496\/(-6928) + 1\/2. Let j = -9097\/866 - p. Calculate the common denominator of s and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2574 and 7574138?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/3))\/l**(-4)*(l*l*l**(1\/11))\/l*(l\/(l**(-6\/7)*l*l))\/l*l assuming l is positive.\nAnswer: l**(1451\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let o(w) = -w - 9. Let h = 27 + -37. Let k be o(h). Which is the second biggest value? (a) n (b) k (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in -3, 0.537, 5?\nAnswer: 0.537","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1\/443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581784?\nAnswer: 2, 3, 7, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b*b**14*b))*b)\/(b**(2\/15)*b)*b**(-1\/6)\/b*b**(-2) assuming b is positive.\nAnswer: b**(137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -420 - -422. Suppose -12 = -5*l + 3*o + 4, -a*o - 12 = -4*l. Solve -z + 2 + l = 2*q, -q - 7 = 5*z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, a: 2, b: 1, w: 4, c: 1}. Give prob of sequence ala.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 834, 841, 852, 867, 886?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169.4422 + 0.1578. Let b = u - 70. Let z = b + -107. Round z to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267178 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*h = -h, -3*h - 9 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 0 + (-18 + 43 - -14) + -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967464996 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1010010101000101110100?\nAnswer: -1010010101000101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, m: 6, p: 1}. Give prob of picking 3 i and 1 m.\nAnswer: 36\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g - 51. Let i be ((-58)\/203)\/((-3)\/(-7)). Which is the third biggest value? (a) 0 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -354 + 625. Suppose -4*i = 5*q - h, 4*q - 273 = -4*i + q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 41*z**2 - 100*z + 743. Let l be x(-42). Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90097177, -90097180, -90097183, -90097186, -90097189, -90097192?\n\"Answer: -3*m - 90097174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3590236523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 - 136. Let l be u\/4 - 5\/10. Suppose 0 = 4*d - 57 + l. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 20 - 1135 = 0. Let a = -160 + f. Solve y + 2 + 8 = 3*h, -y = -a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11180.38 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.73851 - -0.055.\nAnswer: 8.79351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-12)*-2)\/((-15)\/((-1215)\/(-18))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9 = 93. Let w = 215 + r. What is the tens digit of w\/7 - (-8)\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, p: 1, k: 12}. What is prob of sequence hp?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54140 + -31438. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*d - 605, f + 6*d - 9*d + 123 = 0. Is f greater than -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**2 + 6*g - 20. Let w = 153 + -159. Give f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1737, -3472, -5205, -6936, -8665, -10392, -12117?\n\"Answer: y**2 - 1738*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-20)\/(-15)*-3. Sort -2, 1, q, -24 in decreasing order.\nAnswer: q, 1, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4287 - 4376) + (-3 + 8 - 48)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1639*m - 1640*m - 33789 + 33789.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/4)\/a**8)\/(a**(-2\/17)*a*a**(-4))*((a\/(a*a\/a**(4\/13)))\/a*a*a**(-6\/11)\/a)**(-1\/37) assuming a is positive.\nAnswer: a**(-1465011\/359788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22016265, -44032537, -66048821, -88065123, -110081449, -132097805?\n\"Answer: -p**3 - 22016265*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 7:19 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-46)*(-3)\/(-12)*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40500 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11 - 1)*(-5)\/2 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 8\/(-12))*1476\/(-861) - (-162)\/20. Let f be (6\/(-9))\/((-1)\/(-3)). Let o be f\/2*20\/4. Which is the biggest value? (a) 4\/5 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2*1\/10*(-4566)\/(-1522))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**7\/90 + 11*y**6\/60 + y**5\/3 - y**4\/2 - 4*y + 14. Let x(v) be the third derivative of j(v). Factor x(t).\nAnswer: -4*(t - 5)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2220648, 2220663, 2220702, 2220777, 2220900?\n\"Answer: 2*b**3 + b + 2220645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 3:33 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 = -39. Let n(f) = 11*f + 9. Let i be n(11). What is the greatest common factor of i and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t - 26*t - 27 = 0. Suppose -l + 887 + 108 = -t*y, -4*y = 4*l - 3900. Does 35 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2228 + 2232. Let v(q) be the second derivative of -1\/40*q**5 + 0 + 0*q**n + 1\/4*q**3 + q + 1\/2*q**2. Factor v(w).\nAnswer: -(w - 2)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 585402*v**3 - 50*v**2 + 721431072*v?\nAnswer: 3512412*v - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 - (-569)\/7. Suppose -5*x + 44 + m = 0. Suppose 59 = k - 2*p - 3*p, -364 = -5*k + 2*p. What is the remainder when k is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -108172, -216343, -324514, -432685, -540856?\n\"Answer: -108171*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1706497.5 * 0.023.\nAnswer: 39249.4425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1804123452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1146 and -56\/39.\nAnswer: 14898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**33\/d**(7\/9) assuming d is positive.\nAnswer: d**(290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16858 and 370648417.\nAnswer: 8429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 4*f + 19, -4*k + 3*f = -37 - 5. Suppose 0 = 12*m - 3*m - k. Let d be (11 - (-2 + 8))*(m - -1). Is d not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*n - 11, -5*s - 1962*n + 1957*n + 25 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + 102\/12 + 15\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -907*z + 373699. What is n(412)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.54743 less than -242052.54?\nAnswer: -242046.99257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 8*w - 8. Let k be g(-6). Suppose -3*f + 116 = k*m, -161 = -5*m - 4*f - 16. Is m a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yda when three letters picked without replacement from {y: 2, d: 3, u: 9, a: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = -0*g - 4*g, 0 = 4*g + 4. Suppose p*h = h + 15. Suppose n - 2*o + 6 = -h*o, 3 = 2*n + o. Calculate the highest common factor of 6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwlwwliwll. What is prob of sequence il?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - 57. Let o = a + 266. 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 thousands digit of 9503695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 4:47 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/2 + 2175*d**3\/2 + 39996*d**2 - 93102*d - 337512 = 0. What is d?\nAnswer: -686, -41, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -5*j**2 + j - 1. What is n(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11182, -4 in descending order.\nAnswer: 11182, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**4 - 309*f**3 + 248797*f**2 + 690984569*f.\nAnswer: -24*f**2 - 1854*f + 497594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 + 128 = -z + 213 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - -2000011?\nAnswer: 2000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 2*r - 4*r)*(1908*r**2 + 1053*r**2 + 380*r**2 - 591*r**2).\nAnswer: -5500*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {k: 1, p: 1, m: 4, r: 4, g: 3, o: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 6. Suppose -13*f + 168 = -6*f. Calculate the least common multiple of i(3) and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - 19*g**2 - 9*g - 1. Let o be w(-9). Let r = -9378371\/819 - -11451. Is r less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**4 - 12*o**3 + 4*o**2 - o.\nAnswer: -24*o - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:19 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 206350, 412695, 619038, 825379, 1031718, 1238055, 1444390?\n\"Answer: -z**2 + 206348*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -1080. Suppose s - 6*s + n = -4*j, 3*s = 5*j + 641. Does 53 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87669 or -87494?\nAnswer: -87669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.56745*0.4.\nAnswer: 8.62698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*j - 77*j - 4*j**2 + 20*j**2 wrt j.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r**2 - 29*r - 21. Let u be q(-2). Let g(b) = -b**2 - 7*b - 21. Calculate g(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98130627 a multiple of 1631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108*g**2*w + 23*g**2 + w**2 - 5 wrt w.\nAnswer: 108*g**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 987 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.31 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 6. Let q(s) = s**3 - 7*s**2 - 3*s + 4. Let j be q(5). Let r = j + 56. Calculate p(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/((-2)\/(-3)). Let v be ((-18)\/(-27))\/(4\/(-6)). Which is the nearest to v? (a) 1\/4 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*y + 4*y. Let q = y - -184\/3. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314, -629, -944?\nAnswer: -1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94899836\/15 or -6326655?\nAnswer: -94899836\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from bdxfiiwddidiiib?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 14.7. Let d = r + -1.7. Let a = 8 - 5. What is the nearest to d in a, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261 by 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 24*q**2 - 24*q - 88. Is u(16) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1)\/f))**(-11\/9)*(f*f**(-2)*f)\/f*f**(2\/9)\/f)\/(f*f**(-3\/10)*f*f**(5\/3)*(f*f**(-2\/9)*f)**(-29)) assuming f is positive.\nAnswer: f**(3847\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20838, 20839, 20840, 20841, 20842, 20843?\n\"Answer: b + 20837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.018 + 153.018. Let r = 160.54 - l. Let o = r + -5.5. What is o rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5217*b - 933.\nAnswer: -5217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*q - 70 = 9*q, u = -5*q + 12. Let g = u + 16. Put -1, -4, 27, g in descending order.\nAnswer: 27, g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9468 = 3663604\/387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -13*k + 6. Let n be -21*(-1)\/3 + k + 4. Solve -n = -5*s + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from xwxmxmmxffffmwmwxwx?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 1088.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.28 and -3.5086.\nAnswer: -57.120008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468 and 1170.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 1073, 2406, 4271?\nAnswer: 6668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 times -10?\nAnswer: 2630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/23, 0.53, 29\/5, -2\/17?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.035996 from 0.39197.\nAnswer: 0.355974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1897 + -1895. Let f = 0.13 - -0.19. Let l = f - 0.02. Which is smaller: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-30)*200\/32?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42027, 3, -2, 36 in increasing order.\nAnswer: -42027, -2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13300326*y - 105980907 wrt y?\nAnswer: 13300326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -0.3, 4, 0.2, -5.\nAnswer: -5, -0.3, 0.2, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8412?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*s**4\/4 + 33*s**3\/4 + 3*s**2\/2.\nAnswer: -3*s**2*(s - 1)*(13*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 29, -11, -105, -271, -527, -891?\nAnswer: -1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let x = 1901\/45 + -688\/9. Let d = x + 103\/3. Is d at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -6 - (8 - -1). Let z(g) = -g**3 - 4*g**2 + 4*g - 5. Let h be z(y). What is the closest to -2 in 5, 1\/6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_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: Which is bigger: 21373 or 19917?\nAnswer: 21373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5 + 944808*f**3*x**3 - f*x**3 - 17487*f*x - 2*x**3 wrt f?\nAnswer: 20*f**3 + 5668848*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*a, a = -0*x - 4*x + 174. Suppose -3*z = -2*j + j + 16, 5*z = 4*j - x. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(-4 + (sqrt(425) - sqrt(425)*-1) + sqrt(425)*-2 + -3)**2*5.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 887745347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -208 (b) -1\/4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 48. Suppose i = 40*g - 37*g - 42. Is 14 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2, -5, -1890, 1, -3, -1 in increasing order.\nAnswer: -1890, -5, -3, -1, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q - 11*q**2 + 4 - q + 12*q**2. Calculate the remainder when 47 is divided by z(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1047239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685754 is divided by 28571.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -8. Let y be (-7)\/2*u\/14. Is 6\/(-2) + 66\/y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 26\/783113?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432345 and 855.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 3*r - 28 = 0, -2*r = -f + 12. Solve 0 = 4*v - 0*d + 3*d - 3, 4*v + f = 4*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -35. What is the biggest value in -8, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 53*n**8\/84 - n**4\/8 + 7*n**3\/2 + 6*n**2 + 17. Find the second derivative of z(j) wrt j.\nAnswer: 4240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*c - 56 + 12, 0 = -2*w + 6. Calculate the lowest common multiple of c and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 5 = 2*y. Let k(l) = -l**2 + 8*l + 16. Let s(i) = -i**2 + 9*i + 17. Let d(r) = -6*k(r) + 5*s(r). Let a be d(5). Is y bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwwwvwwwwwwwwwwwww. Give prob of picking 3 w and 1 v.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 47?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923767 is divided by 209.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13994392171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 495 - 495. Let v(o) be the third derivative of 0 + 1\/16*o**4 + 1\/8*o**3 + a*o + 1\/80*o**5 - 3*o**2. Find t such that v(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i + 11. Let r(u) = -2*u - 6. What is 11*r(s) + 6*t(s)?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2\/11 (c) 0.08 (d) 1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (3 + -9) - -2. What is the third derivative of 4*v**2 - 2*v**w + 3*v**5 - 8*v**2 wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3901638 by 78.\nAnswer: 50021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5388, -6036, -6684, -7332?\nAnswer: -7980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19009 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: -2334134 (base 5) to base 8\nAnswer: -124044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11529, -11860, -12411, -13182?\n\"Answer: -110*g**2 - g - 11418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117.9495 + 3.3805. Sort -4\/7, u, -2.\nAnswer: -2, -4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 1*(-2 + -9). Suppose 4*b - 7 - f = 0. Find the second derivative of -5*c**b + c + 4*c**4 - 2*c wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*r - 5*r + 216, -3*x - 324 = 5*r. Let j = -54 - x. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1528 and 11854988?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 + -81. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -1\/10, 7, -5, 1 in ascending order.\nAnswer: -5, -1\/10, 1, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -59*m - 274. Let p be f(-6). Let a = -184 + 106. Let z = p + a. What is the highest common factor of 8 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(33)\/sqrt(3) - sqrt(11)) - (sqrt(539) + -5))*2.\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -36192 divided by -2784\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*t - 36*t = 30*t - 36*t + 9177 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.98 - 7. Let n = j - -0.02. What is the smallest value in n, 7, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*b**(-1\/3))))\/b)**(-1\/8)*b**(2\/3)\/b*(b**(4\/7)\/b)\/b)**(-16) assuming b is positive.\nAnswer: b**(578\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 0 - (-3 + 4 + -4). Let v be 1350\/120 + -1*j\/8. Solve 0 = 3*q + 5*a - 11, -q - 3*a + v = 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 6 = 3*x - 58, -x - 69 = -0*x - 4*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-6 + 17)) + (-3795079)\/(-316255). Is f < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -30*v**2. Let t(b) = -7*b. Calculate t(m(u)).\nAnswer: 210*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)\/(i*i**(-2\/5)))\/(i**(-4)\/((i\/(i**2\/i))\/i*i))*((i\/i**(1\/4))**(2\/53))**(-1\/4) assuming i is positive.\nAnswer: i**(83363\/23320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 988767766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -3, 0, 6, 5, -2 in ascending order.\nAnswer: -3, -2, 0, 5, 6, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 93. Calculate the common denominator of p and -52\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/(-300) - 2\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5*p + 2. Let o be a(5). Let w(l) = o*l**2 + l**2 - 4*l**2. Let d(g) = -332*g**2 + 79*g**2 + 128*g**2 + 126*g**2. Give d(w(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1078.4 - 1026.4. Let r = -57 + 113. Let q = r - p. Which is the biggest value? (a) -0.2 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Let s be 4926*(-2)\/10*1\/2. Let q = 495 + s. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {i: 3, d: 4, c: 2, j: 10}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 74. Suppose -3*t + h = 10. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 35.029. What is p rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 25*j - 1890 = 0. Suppose 214*o - j*o = 132. What is the lowest common multiple of o and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3624251 or 0?\nAnswer: -2\/3624251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 1\/21, 0.1, -2?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8 + 6*i - 3*i - 4*i. Suppose 10*z + 580 = -48*z. Determine r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3997889 and 23987334.\nAnswer: 23987334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 4*a + 22. Determine r(7).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0475039 and -1.801142.\nAnswer: -1.7536381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 3)*(-283 + 283 + 107*l)*(-4 + 1 + 4) as s + d*l and give d.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.115 (b) 3\/7 (c) -110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2596*-396.\nAnswer: 1028016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 151*b + 31 + 111*b - 24*b - 31. Let l(n) = 7*n. Give l(k(m)).\nAnswer: 1666*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 - m**3\/6 + 105*m**2 - m. Let d = -1529 + 1529. What is the tens digit of c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -4) + (-2)\/2. Let b = -416\/3345 - 2\/223. Let g = -0.3 - -0.8. What is the closest to 1 in w, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4000 and 1031000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 34*r**2 + 5*r + 2. Let x(b) = 33*b**2 + 4*b + 1. Give -4*l(p) + 5*x(p).\nAnswer: 29*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10511930 to the power of 1\/2, to the nearest integer?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -265*j**4\/24 + 3*j**2. Let q(n) = -29*n + 52. Let b(v) = -9*v + 16. Let x(w) = 13*b(w) - 4*q(w). Calculate u(x(c)).\nAnswer: 265*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a factor of 9564954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 0, -4*c + 9 + 7 = 2*b. Suppose -q = l - 15, b = 2*l + 4. Let n = 16 + q. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1.7741?\nAnswer: 1.7741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -2\/3, -387, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 7. Suppose -s*g = g - 8. Suppose 0 = -4*w + g + 6. Solve 4 = -q - w*v, -4*q + 5*v - 12 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*n = 10, 24 - 10 = -5*c - n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28774293371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 3*u - 8*u + 27*u**2 - 6*u**2 - 15*u**2.\nAnswer: 4*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9) + 2 - (-4)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 - 40)*(-2)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1.1, -0.1, 201571?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -8865.\nAnswer: -26595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8227, 7550, 6873, 6196, 5519?\nAnswer: 4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -123*-61089\nAnswer: 7513947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 120\/(-25)) + 831\/2370. Let u = 4\/79 - k. What is the second smallest value in u, 3, -0.3, 4\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 369.3 and 0.09?\nAnswer: 33.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248070839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 264820 times -44.7\nAnswer: -11837454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*n - 17 = 0, 0 = 57*z - 62*z - 3*n - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + 11) - (-10 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3183 + -3182.9999994764. What is o rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - (22 - -13) - 87 - -6.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*a = -126. Let u be 279\/a - 2\/7. Put -4, 3, u in ascending order.\nAnswer: -4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -133.8. Let f = y - 21.8. Which is the second biggest value? (a) 4 (b) f (c) -1\/92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbgbhbhbbbbhghpw. What is prob of picking 1 p, 1 h, 1 b, and 1 g?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*n**3 + 12*n**3 + 13*n**5 + (-2*n - n + n)*(5*n**4 - 3*n**4 + 0*n**4).\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 17306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 71, 810, 2025, 3716, 5883?\n\"Answer: 238*w**2 + 25*w - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.67830148 * -0.2.\nAnswer: -0.135660296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.5 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1827 and 4977.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:54 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - -5)*(-3)\/(-9). Suppose -k*m - 10 = -8*m. What is the remainder when 5 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1384 and 8304.\nAnswer: 8304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + 125585382702.\nAnswer: 125585382701.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59953*k - 3 + 3 + 314338*k.\nAnswer: 254385*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -56 - 2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.8 + 33.997. Let z = k + -0.19447. What is z rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -3*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/80)\/(69\/(-92)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00294469 to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*x - 41*x - 43*x - 40*x + 168*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 992*g*k**4 + g*k - 250*g - 53*k**4 + k**2 + 7 wrt k.\nAnswer: 23808*g*k - 1272*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6626, 13189, 19754, 26321, 32890, 39461, 46034?\n\"Answer: p**2 + 6560*p + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 1. Let h be x(-4). Suppose 0*s + 12 = h*s. Suppose 0 = -4*l + s*c - 4, -2*l - 8 + 21 = 3*c. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 732 - 3?\nAnswer: 72e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*t - 1314 + 150, 782 = 2*t + 5*r. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.36 - 0.06. Let o = w - -1.7. Let z = 0.1 - 0.3. What is the closest to 1\/4 in o, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 313*a**4\/4 + 5*a + 675. Find the first derivative of z(x) wrt x.\nAnswer: 939*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2680)\/(-144))\/(-67)*3\/(-30)*-8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 2. Let r(j) = 3*j + 5. Let w(l) = 2*r(l) - 5*u(l). Let g(m) = 230. Let k(z) = -259. Let b(o) = -9*g(o) - 8*k(o). What is b(p) - 2*w(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1087, -1, 28, -5.\nAnswer: -1087, -5, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 619762459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 109 (c) -6 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*m**3 - 1268*m**3 + 631*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**6\/120 - s**5\/5 - s**4\/24 - 5*s**3\/6 - 5*s**2. Let c be b(-12). Suppose 9 = h - c. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a*(a*a*a\/a**(2\/3))\/a)\/a)\/a)\/a)**5*a**0\/a**10)**(-35) assuming a is positive.\nAnswer: a**(875\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 7*j**2 + j - 6. Let m be x(5). Let z = -36 - m. Calculate the remainder when 42 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*s - 1 + 1 - 45*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*y**5 - 228*y**4 + 228*y**4 + (-8*y**4 - 12*y**4 + 18*y**4)*(2*y - 3*y + 3*y).\nAnswer: -26*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 427*425\/255*((-5)\/50)\/(49\/(-42))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -22.1. What is the third biggest value in 5, -0.06, v?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(200) + sqrt(200) + -1 + (1 + sqrt(72) - sqrt(72)) - (-5*(2 + sqrt(288)))**2) + -4 + 3.\nAnswer: -7300 - 1180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 117 + -1*(-2 + 5).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/14 - 1 - (-706548)\/84. Suppose 49*j - 62*j = -s. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*y - 712 = 39 + 299 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:03 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 73.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-1\/4)*b*b)\/b)\/b)\/b*b)**(-46)*b**(-5)*b*(b\/(((b\/b**(-2\/7))\/b)\/b))\/b*b assuming b is positive.\nAnswer: b**(129\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.003, 0.3, 0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - -2.94. Let i = q - 2.9. Which is the closest to i? (a) 3\/2 (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 563 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123070433.\nAnswer: 123070433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17185785.\nAnswer: 3, 5, 19, 47, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + 6. Let l(v) = 39*v + 78. Let y(t) = -27*b(t) + 2*l(t). Determine y(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6 + 2 - (-28)\/12. Suppose g*i = 11*i - 936. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 4)*(2*g + 0*g - 4*g)*(-97*g + 28 - 28)*(-5 + 4 + 0) in the form j*g + l + y*g**2 and give y.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 6*j**2 - j + 6. Let l(x) = -12. Let y(b) = -b - 1. Let v(p) = -l(p) - 2*y(p). Let q be v(-10). Is u(q) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*c, 2*w = -5*c + c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(3\/(-2)*(-10)\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2328*k**2 + 4516*k**2 - 2254*k**2.\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 7:09 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, r: 4, e: 2, g: 1, b: 5, c: 1}. What is prob of picking 1 g, 1 e, and 2 r?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 11*n**2 - 92*n + 35. List the prime factors of m(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*2\/(8\/(-7)). Let b(f) = f**3 + 8*f**2 + 7*f - 2. Let h be b(m). Sort 4, h, 1.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15226236 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 441143056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -2826882.\nAnswer: 565376.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*t - 22, t = -5*p - 4*t - 10. Suppose u = -p*u. Suppose -2*n - 4 = u, -4*k + 3*n = -41 - 9. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753 = -50*s - 453 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 969 or 978?\nAnswer: 969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -152*i**2 + 248*i**2 - 49*i**2 - 52*i**2. Let r(l) = -2*l**2 - 254*l. What is r(f(m))?\nAnswer: -50*m**4 + 1270*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9 plus -2517329835?\nAnswer: -2517329839.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(-2\/11))*a)\/a)\/(a*a\/(a\/((a\/(a**(-2\/13)*a)*a*a)\/a))))\/(a*a\/a**1)**43 assuming a is positive.\nAnswer: a**(-6483\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(-3 + 6 - 2)*(107530*l - 205443*l + 103887*l).\nAnswer: -11948*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4*m - 312*g**2*m**3 + 8*g*m**2 + 119*g*m + 2*m**3 wrt g.\nAnswer: -12*g**2*m - 624*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -7, 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 11. Suppose 0 = u - w*t - 10, t + 9 + 1 = 2*u. What is the highest common divisor of 52 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3964 and 18.\nAnswer: 35676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 3*i**2 - 3*i - 3. Let y(w) be the second derivative of -w**5\/10 - w**4\/4 - w**3\/3 - w**2 + 994*w. What is -2*h(t) + 3*y(t)?\nAnswer: -4*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -258\nAnswer: -103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19238?\nAnswer: 2, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g - 4*f = -3, -14 = 4*g - 2*f. Is 4 + (-17510)\/g + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - k + 12 = 0, -l + k - 14 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225133 - -52230721\/232. Let p = y + 6\/29. Is p smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000088577096 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -100*m**2 - 701*m - 3. Let w be g(-7). Let f(v) = 5*v - 1. Let j(t) = 6*t - 2. Give w*f(b) - 3*j(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.5590896 to 3 dps.\nAnswer: 76.559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 18 = 5*j. Suppose -j*w - 8 + 2 = 0. Put 4, w, -5 in descending order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 9:03 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 59, 5.\nAnswer: -3, 0.2, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 88*j - 21*j + 500 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*n**3 + 24*n + n**4 + 25*n - n**2 + 30*n**3 + 20*n**3 to c*n**2 + w*n**3 + q + p*n + l*n**4 and give p.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 572 and 2.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (32\/4 - -3)*(-13)\/((-1430)\/(-20))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 + 217 + (18 + -35 - -26)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060 at least -2273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2450 and 70.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*f**2 + 140*f**2 - 8*f - 20*f + 2*f**3 + (0*f**2 - 7*f**2 - 14*f**2)*(-f + 4*f - f) as l*f + g + o*f**2 + d*f**3 and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 11:01 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16268 + 55785. List the prime factors of v.\nAnswer: 43, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7423555 and 193149?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22664386?\nAnswer: 2, 1123, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttpk. What is prob of sequence ktp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gglg when four letters picked without replacement from {r: 1, g: 5, l: 3}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*j + 1 = -j, -4*w - 2*j - 20 = 0. Let v(b) = -b**2 - b**3 + 1 + 2*b + 3 - b**2. Determine v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 6214.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmtt when four letters picked without replacement from ttmmmtttmttmtmtttt?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/12960 and -83\/2288?\nAnswer: 1853280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1015 and 2.\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24, -5, 1, 0, 174 in ascending order.\nAnswer: -24, -5, 0, 1, 2, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 92? (a) 2\/3 (b) -0.084 (c) 1\/442 (d) -15 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -2221022100?\nAnswer: 2221022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1164 - -3671. List the prime factors of r.\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 1\/3*0. Suppose h*y = 3*y + 24. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -209*u - 3766. Calculate c(-17).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (33\/(-21) + (-28)\/(-49)). Is (-16017)\/(-76) - t\/(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23285, 3145, 0.5, -0.1 in increasing order.\nAnswer: -0.1, 0.5, 3145, 23285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 2:05 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 2:35 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - ((sqrt(204) - sqrt(204)*-3)*-4 - sqrt(204)))\/sqrt(12).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1610)\/644)\/(1 + 7\/(-2)). Let b(d) = d**2 + 1. Let j be b(-1). Suppose -g = j*g - 9. Solve -g + n = f, -p + 5*f = -6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -654 - -134. Let b = x + 520.00000341. Round b to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and -1259 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-10 - -5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 11*m = -s + 8761, 2*s + 2*m - 17518 = 0. Is 63 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -36. Let u = w + -13. Let q = -22\/47 + -43\/611. Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 5*f - 10, -2*c + 4*f + 9 = 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1557 and -5.\nAnswer: -7785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.89*-79\nAnswer: 70.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -165 and 535998?\nAnswer: -88439670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/22)\/(-23)*4\/(-3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j. Let w(q) = 1 - q + 2 - 3. Let n(g) = -k(g) - 6*w(g). Let o(f) = 15*f. Give o(n(h)).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3092 + 1.53.\nAnswer: 3093.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -644.7 - -644.700001105. What is d rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3 + -35 + 29512\/930.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcgc when four letters picked without replacement from cccgccg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 3*k**2. Let d be f(-2). Suppose 2*m - 1 = -z, 0*m - 4*m - 7 = 5*z. Suppose 4*h = -20, 0 = m*j - j - d*h - 96. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/6351609 and 4\/1971189.\nAnswer: 57164481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364505 divided by -36.\nAnswer: 364505\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3061599 from -54.1455.\nAnswer: -3061653.1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82816383 and 18525?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -2\/11 (b) -0.8 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 77 in -1.2, 6\/5, -4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v**3 - 3*v**2 + 13*v - 2. Suppose -5*q - 45 = -20. Let d = 1 - 0. Let z(a) = -a**2 + a. Let p(c) = d*g(c) + q*z(c). Find b, given that p(b) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(12\/(-96) - 10\/(-16)). Solve 2*t - 5 = 5*f + 15, 2*t = f + c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1350\/(-2475))\/(2\/33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7219.529 centuries?\nAnswer: 721.9529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*u - 21 + 16 = 0, -4*u - 11 = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 8 + 13 - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 46*f**2 - 3*f - 11. Let m = -129 - -106. What are the prime factors of y(m)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 7*s**2 - 4*s - 7. Let j be n(6). Suppose -2*b + 0*b = -j*h + 13, 2*b + 19 = -h. Let t = 25 + b. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, h: 15}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 706507028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(6) + -2*sqrt(6)))\/(sqrt(10) - 5*sqrt(20)\/sqrt(2))*-5.\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 703*t**4\/24 - 155*t**3\/6 - 5*t**2 - 10. Is n(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) -1 (c) -1\/3 (d) -2.16 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6880 + 13?\nAnswer: -6866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2191395 - 61540\nAnswer: -61539.7808605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Solve -2*u - 18 = y*v, 0*v - 4*v = -u + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -207. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vevw when four letters picked without replacement from {e: 5, v: 3, f: 7, w: 2}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 36*s = 28 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 292 - 287.05. What is f rounded to 1 decimal place?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*k**3 - 35*k**3 - 51*k**3 + 20*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-127)\/(-1270) - (-114)\/60?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -427.8 - -455. Round f to 0 dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10) + 24721\/(-48185)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/2*(-4)\/6. Suppose -o + j*x = o + 14, 0 = 5*o + 5*x. Let h(u) = -4*u. Let f(b) = -3*b. Let p(r) = o*h(r) + 3*f(r). Let t(g) = g**2. Give t(p(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:58 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 o, and 1 b when four letters picked without replacement from {z: 2, o: 1, w: 2, b: 6, v: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -18\/47?\nAnswer: -18\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (26 + (35 - 55)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 4*f + 3. Let b be i(3). Let s = -4189\/1232 - 5\/176. What is the common denominator of (202 + b)*3\/(-12) and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 47?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(3996\/(-5291) + (-10)\/65)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g + 16. Let v be h(4). Suppose -26 = -5*x - 1. Suppose x*o - v*o = 4. Calculate the least common multiple of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 496*k**2 - 648*k + 82656.\nAnswer: -2*(k - 12)*(k + 14)*(k + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q - 4*q - 7 + 6)*(650 + 129*q - 650).\nAnswer: -1935*q**2 - 129*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1939758 = -133*c + 285144 - 146910. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-3) + (-616)\/220 - 2\/45*2\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/352)\/((-2)\/(-8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 - 489*q**3 - 12*q**2 + 488*q**3.\nAnswer: -q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 15. Let l = z + 16. Which is the smallest value? (a) 10 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a + 42*a + 1488 = 87*a. Sort a, -5, 8, 1 in descending order.\nAnswer: a, 8, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16632167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1650 + -795. Suppose 0 = 3*p + 4*y - 530, -y + c = 17*p - 12*p. Suppose 0 = o - 5*o + 272. What is the highest common factor of p and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 27 + 10*h - 16 + 96 to a*h + o and give o.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2875 - -5?\nAnswer: -2870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4400*n - 259596. Determine k(59).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*f**2 - 13*f**3 - 26*f**2 + 147*f**2 - 34*f**2 - 52*f**2.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1435 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*-2*21\/(-14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - 5. Let b = 131 + m. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 58. Suppose 25*t + x = 32*t. Find j, given that 23 + j**2 - 17 - 8*j - t*j**2 + 6*j**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 242 = -5*a, -2*g + 2*a - 16 + 128 = 0. What is the highest common divisor of 145 and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k. Calculate the lowest common multiple of m(-2) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72a - -1172?\nAnswer: a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.13 times 18\nAnswer: 38.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.96216kg in nanograms?\nAnswer: 11962160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 4*b + (0 + 2 + 0)*(-b - 3 + 3) + 3*b + 2 - 2 + 0*b - 2*b + 0*b)*(b + 2*b - b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1530 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 106315 times 0.064?\nAnswer: 6804.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00750003 rounded to five dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 13 - 56)*(23*m**4 - 366*m**2 + 366*m**2).\nAnswer: -1196*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 f when four letters picked without replacement from feeoooefoef?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4, c + 142 = 4*k - 0*c. Suppose -a - k = -3*x + 4*a, -x + 22 = -5*a. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40462 = 384*h + 44302 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85877183 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 - 1195 - 4*s**2 + 601 + 594. Let o(h) = 99*h**2. Give o(n(l)).\nAnswer: 99*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(2*sqrt(7)) - sqrt(800)\/sqrt(10))**2 + (-2*sqrt(1600) - sqrt(1600))\/sqrt(5).\nAnswer: -24*sqrt(5) + 245\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {l: 2, g: 1, o: 1, w: 1, c: 1, s: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 - 489429*i**2\/2 + 20102180013*i\/2 - 11436589060059\/2.\nAnswer: 3*(i - 81283)**2*(i - 577)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 + o**2 + 4*o**2)*(84 + 63 - 4 + 188) in the form q + j*o + t*o**2 and give t.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 9. Let h be q(5). Suppose -4 = -4*y - 4*b, 5*y - h = -3*b + 1. Suppose 0 = 3*m - m - 4. Solve 0 = m*t + 8 + y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492631979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, d: 1, i: 2, w: 3, v: 2, n: 4}. What is prob of sequence vi?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 718993430 and -9613.\nAnswer: 718983817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23372160 is divided by 23372157.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4.9. Let w = 4.94 - -0.06. What is the third biggest value in g, 0.2, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + ((-558)\/141 - 9)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eceenncecc. Give prob of picking 2 e and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106273678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.88 - -46.88. Let l = 7.7 + -18.7. Which is the biggest value? (a) l (b) p (c) -2\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8051.6cm?\nAnswer: 80516000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -5*d**3\/6 - 8*d. Let q(o) = -o - 1. Let c(p) = -8*p - 9. Let z(y) = 2*c(y) - 18*q(y). What is z(u(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s + s**2 + 0*s**4 + 0 - 2\/15*s**6 + 0*s**5 + 0*s**3. What is the derivative of a(l) wrt l?\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/(-33)*(-2*1)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468 divided by 4.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:48 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 18 - 2. Let y(p) = -4*p + 3 + 2 + 3*p - k. Suppose 0 = 5*j - j - 12. Give y(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -254.27 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115561 - -4300?\nAnswer: 123161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6174, 6172, 6170, 6168, 6166, 6164?\n\"Answer: -2*f + 6176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 46, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 7. Let l be t(-4). Suppose 0 = -3*u - 2*p + l, -2*u - 30 = -7*u + 5*p. Solve -4*k - 8 = 3*w - 2*k, u*w + 3*k = -12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/16 and 125\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**(-2\/29))**(5\/4) assuming t is positive.\nAnswer: t**(1\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (477 - -2)\/1*43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4118 - 6045. Let l = 42461\/22 + a. Find the common denominator of l and -41\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.9 (b) -1\/13 (c) -109 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2\/3, 209, -1\/6, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - -2 - (-2258 - -2273).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -147769178\nAnswer: 295538356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8660012 a multiple of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d + 30. Let u be 5\/(-35) + d\/(-14). Solve 4*w - 5*b = -33, 0 = 3*w - u*b + 14 + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27970, 27972, 27974, 27976, 27978?\nAnswer: 27980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5 = 5*x. Solve -s - 3*c - 3 = -7, 5*s + 20 = x*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - 55 = 38 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + 0 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.4254 * 4.\nAnswer: 89.7016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -1\/10 (b) -2\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732017876 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(5\/60). Solve a = -4*z + 6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, -4, -1 in ascending order.\nAnswer: -4, -1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101 times 193517\nAnswer: -19545217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209225494 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5626 = 3*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 - 20*i**2 + 2608*i - 5104 = 0. What is i?\nAnswer: -29, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 6*t + 5. Let d be n(6). Let u be ((-3)\/(-4))\/((-6)\/(-16)). Solve i - d = -u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1911 + -1.39\nAnswer: 1909.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*b + 77*b + 67*b)*(3 - 3 + 3*b) + (-1 + 4 + 5)*(0*b + 5*b - 4*b)*(b + b - 4*b) as r*b + n + x*b**2 and give x.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*r - 28*r + 19*r + 82041. What is the greatest common factor of 957 and r?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/6 - 50*s\/3 + 33\/2.\nAnswer: (s - 99)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8268.055 milliseconds?\nAnswer: 8268055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*h + 75515785 + 198093120 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1008, 0.06, -1, 5, -64?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 6*g**2 - 6*g - 11. What is the hundreds digit of d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10576814 and 2873229.\nAnswer: 729800166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1531 - -70.\nAnswer: 70.1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*t - 6184, 2*t + t = -a + 6186. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 2. Suppose -4*v + 16 = -4*g, 3*v + g = 19 - 7. What are the prime factors of m(v)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201607, 201598, 201587, 201568, 201535, 201482, 201403, 201292?\nAnswer: 201143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.140515292 rounded to 3 decimal places?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-50))\/((-72)\/(-30)))\/(276\/230)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -132*s**2 + 22*s - 19. Let o(w) = -44*w**2 + 7*w - 6. Let c(t) = 7*o(t) - 2*v(t). Find the second derivative of c(u) wrt u.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3520 + 17606\/5. What is the third smallest value in 2\/7, -5\/14, p, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -4. Calculate the remainder when -62 + 100 - (-2)\/(-2) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -28. Let p = y + 2394\/13. Let h = 72 - 70. Which is the nearest to -0.1? (a) h (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 4*g = -4. Let b be -4 + 0 + 5 - g. Suppose 0*p + 7*p = 0. Solve p = -4*w + v, b = -2*w + 2*v - v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/(-22))\/((-1)\/(-4)). Suppose 0 = 2*u - 6*u + 2*s - y, 5*s - 33 = -4*u. Solve -3*t + 1 - 2 = -u*a, 5*t - 5*a - 5 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-13)\/(-416))\/(12\/656). Let o = v + -11\/6. Sort o, -1\/13, 4 in descending order.\nAnswer: 4, -1\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -972, -22, 41 in decreasing order.\nAnswer: 41, -22, -972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9765*b + 15034*b + 2536*b)*(b**3 - b**3 - 2*b**4).\nAnswer: -54670*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 2379 - 8266 = 0. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 + 127. What is the greatest common factor of 7 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxc when three letters picked without replacement from {p: 5, x: 3, c: 4, r: 5, n: 1}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3817 + -2584. Is 137 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-134 + 134 - 52*q**2)*(2*q + 0 + 0) - q**3 + 2*q**3 - 3*q**3 to p*q**2 + t + n*q + w*q**3 and give w.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, p: 3}. What is prob of sequence pp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 11*h**8\/42 - h**6\/40 - h**5\/30 - 629*h**3\/6 - 926*h**2. What is the third derivative of i(d) wrt d?\nAnswer: 5280*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**10)**37\/(y**(5\/7)*y*y*y*y)**(-20\/9) assuming y is positive.\nAnswer: y**(8767\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 307344 by 24.\nAnswer: 12806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66723153 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267957, -535833, -803709, -1071585?\nAnswer: -1339461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 85*t - 308. List the prime factors of n(11).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535634979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27391 and 10848943.\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -163630 (b) 3\/2 (c) -1 (d) -2\/113 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**8\/840 + o**4\/8 + 7*o**3\/6 - 5*o**2. Let h(z) be the first derivative of v(z). Differentiate h(i) with respect to i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.42 * 43.16.\nAnswer: 18.1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1. Let g(w) = -w**2 + 13*w + 298. Let v be g(-12). Let z(t) = 2*t + 23. What is v*a(d) + z(d)?\nAnswer: 2*d + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 1\/2 (c) -256 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1023\/(-66) - 28\/(-8))*30\/(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 4*q**2 + 57*q + 2. Let v(c) = c**4 - 3*c**3 - 7*c**2 + 114*c + 3. Let a(h) = 7*u(h) - 4*v(h). What is the second derivative of a(z) wrt z?\nAnswer: -48*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/1785 (b) -761 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 7. Let i(w) = -23*w + 5. Let j be i(0). Which is the closest to j? (a) m (b) -0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -359456 - -89456. Round b to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -95\/6, 1\/2 in descending order.\nAnswer: 1\/2, -7, -95\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.017 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {t: 2, l: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4221 = 54*u + 2709 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 799143.6 litres to millilitres.\nAnswer: 799143600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 41, 15, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 16 = 4*t, 3*f - 18 = 5*f - t. Let z(y) = -y**3 - 9*y**2 - 8*y + 2. Let v be z(f). Differentiate v*l**3 - 3 - 1 + 3 with respect to l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 783? (a) 1\/4 (b) -1.2 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a*a*a**1\/a)\/a)\/a)**(23\/5)*(a\/(a\/(a\/((a\/(a*a**3*a))\/a))*a*a*a)*a)\/(a*a**(4\/9)) assuming a is positive.\nAnswer: a**(529\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63401491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 102*n + 46*n = -61*n + 53, -44 = 2*x - 2*n for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -503 divided by 740\nAnswer: -503\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -54062*f + 1135295. Calculate s(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7*n - 3 + 10 + 4*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -14 (b) -3\/8 (c) -1\/2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/10)\/(1*-3*(-12)\/72)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -15 + 3 + 4. Let u = 7 - p. Let a(y) = 3*y - 35. What is the units digit of a(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 7, 22, 45, 76?\n\"Answer: 4*o**2 - 5*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-103)\/515)\/((3\/5)\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -4*q**5\/25 + q**4\/5 + 16*q**3\/15 - 8*q**2\/5 + 5. Factor t(n).\nAnswer: -4*n*(n - 2)*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 6*b**2 - 17*b + 38. Give t(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 349*i**2 + 21063*i - 21063*i - 47*i**3 + 45*i**3 to o*i + y + g*i**2 + x*i**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9396 - 9396 + 5*p**2. Let y(s) = 291*s**2. Determine j(y(w)).\nAnswer: 423405*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a factor of 2208546200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6539*z + 70195 + 46926 = -46354 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62, 142, 230, 332, 454?\n\"Answer: o**3 - 2*o**2 + 79*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 5:40 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - ((4 - 8) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -20, -4, 7 in increasing order.\nAnswer: -20, -4, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = -b, q = 5*b + 6*q + 10. Is b <= -45\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 less than -0.2?\nAnswer: 727.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i, -31 = -t + 8*i - 4*i. Suppose -t = -4*y + p, 0 = -y - p - p. Is ((-2068)\/(-20))\/1 - y\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 13*i + 30. Calculate h(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -185 (b) 4 (c) -2\/3 (d) 1 (e) 0.03 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 405067\/27636 + 87\/9212. Let -20\/3*x - w + 1\/3*x**2 = 0. What is x?\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918160.\nAnswer: 2, 5, 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 35*v**2 - 40*v - 227. Is k(13) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 46*k - 171. Calculate t(-49).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*35\/(-5) - -2. Solve m - 24 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 12*x**2 + 15*x + 13. Let o be d(-10). Suppose -3*f - 1917 - o = 0. Round f to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10043*u + 241254. Give h(24).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 64 = 0. Let p = m + -23. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23986642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 42*b**2 - 2*b + 11. Let t(k) = -23*k**2 + k - 6. Let u(c) = 6*q(c) + 11*t(c). Let g(l) = 20*l**3 + 10*l**2 + 10*l. Calculate g(a) + 10*u(a).\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6337 = -4*u - 2*w + 8949, 0 = -3*w - 9. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/20)\/((-2)\/(-4)). Suppose -5*w = -f*v - 18, 5*w = v - 3*v + 13. Solve w*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 110\/8 + 2 + 16\/64. What is the lowest common multiple of 165\/(-10)*b\/(-12) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*k**2 + 7*k**2 + 182*k + 161 + 1735 - 2837*k wrt k.\nAnswer: -4*k - 2655","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 5, -13 in increasing order.\nAnswer: -13, -0.23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*g**4 + 1 - 2*g**3 + 39*g**4 + 4*g**3 to the form o*g + h + n*g**2 + y*g**3 + a*g**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j + 12 = 3*f, 3*f - 24 = -j. Let l(p) = 28*p + 15. Let k be l(f). Suppose z - 3*t + 7*t = 34, 0 = 4*z + t - k. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**4 + 2*m**3 + 15*m**2 + 2*m - 2. Let h(c) = -6*c**4 - 2*c**3 - 12*c**2 - c + 1. Let d(s) = -6*h(s) - 5*i(s). Factor d(x).\nAnswer: (x - 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 6. Let l(r) = -r**3 - 7*r**2 + 8*r + 5. Suppose -5*h + 2*k - 30 = 0, k = 5*h + 2*k + 45. Let i be l(h). Is w(i) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/16 - -1*(-107428)\/4320. Let h = k - -231\/8. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzyxubuuuu. What is prob of sequence yu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4 + 0 - 260\/(-80). Suppose -y = u*y - 175. Let d be ((-56)\/y)\/(-1*(-6)\/(-15)). Solve r = -0*r - d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 16. Which is the second biggest value? (a) 2\/23 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:11 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvvf when four letters picked without replacement from {f: 1, r: 1, v: 7}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 + 0.4. Let p = -0.04 - h. Sort 2, 4, p in decreasing order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147)*-1 - (sqrt(15)*-1)\/sqrt(5).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2 + 3 - (1*(sqrt(2) + 0) + sqrt(2)))**2.\nAnswer: -10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 29825304.\nAnswer: 29825303.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4636265464 divided by 4.\nAnswer: -1159066366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/455364 and 31\/1112.\nAnswer: 910728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 5*l**2 - 6*l + 6. Let j be y(6). Let m(k) = -k**3 - k**2 - j*k - 4 + 2 + 8*k. What is m(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 3*t + t. Suppose 0 = -3*g + t + 27. What is the greatest common factor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17045 divided by -14\nAnswer: -2435\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123030823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -41.9168 * 0.093\nAnswer: -3.8982624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(99)*-3*5)\/(1*sqrt(9)*-6 + sqrt(9)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hya when three letters picked without replacement from yooowobwbaobwoh?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h - 5*h - 9*h + 35*h - 4*h - 7*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 6 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 2*i + 2. What is q(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/6 - p**2\/2 - p\/3.\nAnswer: -p*(p + 1)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7591477?\nAnswer: 1483, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/2)\/(5\/10). Suppose z*n = 3*n + 56. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/29379672 and -83\/29379672?\nAnswer: 29379672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2176, -2262, -2376, -2524, -2712?\n\"Answer: -r**3 - 8*r**2 - 55*r - 2112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52.941 - -53.341. Let w = -42\/5 + 1349\/160. Which is the second biggest value? (a) w (b) 3 (c) k (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1272*s**2 - 20*s - 21. Is p(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*p - 32*p + 8*p**2)*(-1848 + 3589 - 4609 - 5032).\nAnswer: -63200*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 21. Let g = 7 + -20. Let f be p(g). Let y(d) = d**3 + 4*d**2 - 4*d + 2. What is y(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:55 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 4, m: 3, d: 1}. Give prob of picking 3 u.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161700.16 + 161707.1599976. Let m = -7 + g. What is m rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973*m = 981*m + 48 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 312, 1105, 2416, 4239, 6568, 9397?\n\"Answer: -s**3 + 265*s**2 + 5*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58032 and 4464?\nAnswer: 58032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13 + 37)\/12)\/(((-12)\/16)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + sqrt(117) + sqrt(117)*3)*5 + sqrt(117) + (sqrt(117) - (sqrt(117) - 3*sqrt(117)*-1)))\/(2*sqrt(576)*-1)*-1)**2.\nAnswer: 6877\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/86664 and -55\/285108?\nAnswer: 89523912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pypy when four letters picked without replacement from {c: 3, y: 3, p: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-81))\/((-56)\/240)*1*7\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -196*s**2 - 10 + 53*s**2 - 4 - 3. Let i be d(-9). Round i to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185476330?\nAnswer: 2, 5, 13, 1426741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/k**(-2))\/k)*k))**(-2\/29))**(6\/29) assuming k is positive.\nAnswer: k**(-12\/841)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - b + (3*b - 5*b + 0*b)*(-1 - 2 + 1) + b + 3*b - 3*b - 3*b - b + 6*b - 5*b - 2*b + 5*b - 8 + 20*b + 19 - 10.\nAnswer: 24*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.14 (b) 0.1 (c) 193 (d) -0.259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 0*m**3 + 8*m**3)*(462 + 16*m - 272 - 212).\nAnswer: 80*m**4 - 110*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 39912?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*y + 231. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*z**3 + 77*z**3 - 160*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 68 = -4*b. Find the first derivative of 13*j**4 + 79*j**4 + 785 - b*j**4 - 771 wrt j.\nAnswer: 280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = 5*b - 24*l, 0 = 54*b - 58*b - 5*l + 2 + 2 + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 14*k**3 + 16*k**2 - 32*k = 0 for k.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**(-17)\/((x**(-3\/2)*x)\/x)**(40\/9) assuming x is positive.\nAnswer: x**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 + -135. Suppose 2*d = 3*s - 19, 31 = d - 6*d + v*s. Is -6 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.417 + -16.517. Let y = -2\/53 + -41\/318. What is the closest to -0.2 in y, k, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/239166 and -43\/216.\nAnswer: 956664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*p + 37 = 4*w, -p + 4 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*o + 6397*o + 1525*o - 407*o.\nAnswer: 7830*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, o: 5, s: 5, p: 1, z: 5}. Give prob of picking 2 o and 2 s.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -15. Let t(d) = -39*d - 1. Let a be t(g). Let o be (-3 - (-26)\/10)*a. Calculate the highest common factor of 48 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, p: 5}. Give prob of picking 1 p and 1 f.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777360177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385767 + 17*c**2 + c**2 + 385753 - 1157279 + 385759.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {x: 3, i: 6, m: 3, l: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 19, 1, -60, -80, 5 in increasing order.\nAnswer: -80, -60, 1, 5, 19, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2521.477l to millilitres.\nAnswer: 2521477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3868500 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q + 4. Sort -6, -3, q in descending order.\nAnswer: q, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6804 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*q - 105*q - 5 + 5.\nAnswer: 462*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 10. Let a be h(7). Suppose a*t = 4*t. Suppose -2*l + 9 + 19 = t. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2 - -1)\/(-1). Let w = -0.23 + -10.77. Let z = -6 - w. Sort r, -0.4, z in decreasing order.\nAnswer: z, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748499633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982*q - 464*q + 293*q + 33437 = 0 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 0*t**3 - t**3)*((6 - 8 - 18)*(6*t + t - 5*t) - t + 2*t + t).\nAnswer: 76*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/((-2737)\/(-102)))\/(54\/(-28)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, y: 6}. Give prob of picking 1 t and 1 y.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - (-115)\/10)*(-34)\/(-85). Let o(k) = 8*k**2 - k + 3. Determine o(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-15)\/((-945)\/117))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 12*d**2 + 31*d + 2. Calculate the remainder when c(14) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and 98\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.0081 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316115989?\nAnswer: 7, 45159427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**2 + 133696*t - 133696*t.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15*k**3 - 3*k**2 + 4*k - 4. Let j(s) = -s**3 + 7*s**2 + 7*s + 10. Let y(c) = c**2 - 8. Let p be y(-4). Let d be j(p). Is w(d) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrw when three letters picked without replacement from {r: 3, w: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35321.7777 + -35326. What is y rounded to two decimal places?\nAnswer: -4.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 148\/34363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5202467*o**2*q**2 - 2*o**2*q + 30102*o + 3 wrt q.\nAnswer: -10404934*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 2*j + 5 = 13*g, -3*j - 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221301 (base 6) to base 4.\nAnswer: 10200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let w(k) = 2*k + 1. Let f be w(v). Solve 5 + f = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - -13 - (-1573 + 1573).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260659 and 4186?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 43*z = -58*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6839, 27355, 61541, 109391, 170899, 246059, 334865?\nAnswer: 437311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 2*v**4 + 3 + v**4 + 0*v**3 + v + 2*v**2 to the form u*v**4 + d + m*v + n*v**2 + j*v**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p + 0*p**4 - 1\/30*p**6 + 3*p**2 - 1\/20*p**5 + 0 + 0*p**3. Find the third derivative of b(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534253, 2137569, 4809763, 8550835, 13360785, 19239613?\nAnswer: 26187319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187)*-2*6 + sqrt(187)) - 3*(sqrt(187) - sqrt(187)*-2))\/((sqrt(176) - -6*((sqrt(176)*-2 - sqrt(176)) + sqrt(176) + sqrt(176)))*6).\nAnswer: -sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/30 + f**5\/12 - 2*f**2. Let k(d) = 2*d**3 + 2*d**2. What is -14*k(l) + 6*p(l)?\nAnswer: -4*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*o + 30*o - 59*o)*(-1 + o**2 + 1) + 451*o**2 - 15*o**3 - 451*o**2 - 3*o**3 + 0*o**3 + o**3 + (0 + 0 - 2*o)*(3*o**2 - o**2 - 4*o**2).\nAnswer: -82*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -3831*g**4\/4 - 1489*g - 39. Differentiate u(j) wrt j.\nAnswer: -11493*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2 + 6*f - 3. Let x(c) = -11*c**2 + 9*c - 5. Let l(g) = 8*o(g) - 5*x(g). What is l(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let k(h) = -101*h + 58*h + 44*h. Determine -2*k(q) + u(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 49*l - 4*l + 55 = 0, 26 = 15*h - 17*h + 2*l - 0 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4048 and 378808.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 22*y**2 + y. Let v(f) = -f**2 + 3*f + 1. Let j(h) = 3*h**2 - 18*h - 6. Let a(i) = -j(i) - 6*v(i). What is l(a(c))?\nAnswer: 198*c**4 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*j**3 - 3 + (-4*j + 2*j + 3*j)*(3 - 3 - j**2) + (-9*j**3 - 13*j**3 + 28*j**3)*(2 + 0 - 4).\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - u = 2*u - 1364, -5*g - 4*u = -3424. Let c = 1119 - g. What are the prime factors of c?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13)\/52)\/((-2)\/16). Solve 2 = -j*q - 0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4592 - 4480. What is the greatest common divisor of x and 1106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*i + 59 + 40, -243 = -4*i + 3*k. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-0.04.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094407 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -976472.1 to the nearest 1000.\nAnswer: -976000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)*k**(6\/13) assuming k is positive.\nAnswer: k**(44\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2 + 6*l - 4. Let z(q) = -7*q**2 - 5*q + 3. Determine -5*j(p) - 6*z(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 14 = -21*o. Let g = 43 - o. Suppose g*s = 30*s - 1340. What is s rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 231, 475, 733, 1005, 1291, 1591, 1905?\n\"Answer: 7*o**2 + 223*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 0*l - 20*l + 6*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-51)\/(-5) - 6\/30. Suppose 9 - 1 = -2*i - 2*c, 2*c = i - 11. Let h = n + i. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a0bbb21 + -1?\nAnswer: -a0bbb22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 11056?\nAnswer: 55280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 110189122 to the nearest one million.\nAnswer: 110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 7*r - 7*r - 2*r - r - 3*r + (-3 + 1 + 4)*(2 - 2 + 2*r) as k*r + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + t - 3. Let f be g(-3). Suppose -2*v + 3 = -v, v = f*c - 3. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2009 and 5404?\nAnswer: 1550948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83430 is divided by 162.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (81\/(-18))\/((-42)\/28)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 591 - -3437. List the prime factors of w.\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/61, -2\/11, 1 in ascending order.\nAnswer: -2, -2\/11, 1\/61, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 5. Let t be i(5). Let d(j) = -j**2 + 9*j + 5. Let s be d(9). Suppose s*u = -5*x + 100, -2*u - x + 59 - 19 = t. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76\/5 of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 - 113. What is the biggest value in 4\/3, -4, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5006328, -20025369, -45057110, -80101551, -125158692, -180228533?\n\"Answer: -5006350*x**2 + 9*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560225, 1120465, 1680705, 2240945, 2801185?\nAnswer: 3361425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4\/7, -0.06, -4, -8 in ascending order.\nAnswer: -10, -8, -4, -0.06, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2 - 48*t - 184. Determine u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 13 - (-1 + 1)) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.93731 + 0.01431. Let p = -0.077 + t. Let s = 0.3 + -0.5. Which is bigger: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/540 and -161\/35821560.\nAnswer: 322394040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 960\/7. What is the third smallest value in 3, -2\/13, u, -5\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*p = 476, 2*z = -3*z + 2*p + 595. Calculate the greatest common factor of 34 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217615?\nAnswer: 5, 71, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2802051089 and 12.\nAnswer: -2802051077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591833954?\nAnswer: 2, 3, 29, 9148471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 1140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8354145060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*x - 32 = 0, 5*x = 5*a - 53 + 18. Suppose 5 = l + a*l. Suppose l = -o + 20. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 1 - -11 - 0. Let c be 7\/1 + 7\/(g\/(-2)). Solve -20 = -8*a + 3*a, -3*l + 29 = c*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2511\/8 + -316. What is the common denominator of y and 59\/26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/19 (b) 1\/7 (c) 875 (d) 63 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 4*s**2 + 6*s - 7. Let h(u) = -u**3 + 3*u**2 + 21*u - 6. Let t be h(6). Suppose p - 4*k - t = 11, 5*k = -25. List the prime factors of v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2552, 0, -4.6 in ascending order.\nAnswer: -4.6, -3, 0, 2552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -540452 and -540428 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14481.2 - 14481. Let v = 0.05 + -0.15. What is the second smallest value in -2\/3, r, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3102578*0.195\nAnswer: 605002.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2195 + -6470\/3. Let v = x - 38. Let q = -3 + 2. Is q <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*i - 139*i = -8. What is the smallest value in 5, -3, 2, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1018 divided by -5665\nAnswer: -1018\/5665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/10 + 38538\/180. Let s = z + -114. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -18. Suppose 4*a = -f*a. Solve a*r + 12 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8590 - -8997. Calculate the remainder when p is divided by 197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58\/6677, -0.1, 2\/9, 5, 4 in descending order.\nAnswer: 5, 4, 2\/9, -58\/6677, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1226253660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*r**4 - 260287*r**3 - r + 8394704.\nAnswer: 152*r**3 - 780861*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1254 or 375316\/299?\nAnswer: 1254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -547?\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -244, -627 in decreasing order.\nAnswer: 5, -244, -627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -12488f?\nAnswer: 12488a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u**2. Let v(a) = 39503*a. Calculate v(f(p)).\nAnswer: -395030*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((sqrt(720) - (sqrt(720) + -4)) + sqrt(720))*4)**2)*-5 + 0 + -1 + -5 + (sqrt(720) - -3*sqrt(720)).\nAnswer: -58871 - 7632*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 369, 340, 265, 120, -119, -476, -975, -1640?\n\"Answer: -4*b**3 + b**2 - 4*b + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/24*(-2)\/90*-18*258?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 21*r**2 - 10*r - 183. Calculate h(12).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23936?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 10176 + 10176.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 216408.96 microseconds?\nAnswer: 0.0000601136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Suppose -5*f + f = -z + 17, 7 = -2*f - z. Put u, -10, f, -3 in descending order.\nAnswer: u, -3, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -121, -217, -349, -529, -769, -1081, -1477?\n\"Answer: -2*q**3 - 58*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:34 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47889.306 seconds to hours.\nAnswer: 13.302585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -6, -53, -120, -207, -314, -441?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/39 and 53\/171.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29744)\/(-78))\/(-44)*(-3)\/(-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:58 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4 = 0, 7 - 1 = -5*m - 3*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 + 4*p + 3. Let y be d(-5). Suppose m - 33 = 2*j - j, 0 = 5*m + 2*j - y. Let z = m + -18. Calculate the greatest common factor of z and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 2213625?\nAnswer: 15495375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 7*c**2 - 4*c - 4. Let m be u(-7). Solve 5*n = -3*r, -5*n - 1 - m = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 6. Let k(s) = -s**3 + 4*s**2 + 5*s + 7. Let d be k(5). Let y be d\/((-28)\/(-8)) + -7. Give x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000064560523 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**8\/336 - a**7\/210 - a**6\/40 + a**5\/60 + a**4\/12 + 35*a**2 + 1. Factor g(x).\nAnswer: x*(x - 2)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p**2. Let w(f) = f - 13*f**3 + 14*f**3 - f + f**2. Give -h(j) - 12*w(j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 3*r - 35, 7 = -3*r - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/30 - 5\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - 7.08. Is s equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Let z be (4 + -5)\/(1\/(-5)). Suppose -h - 8 = -z*h. What is the highest common divisor of a and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/90 - (-4)\/(-10). Let y = -12439 - -12438. Which is the nearest to y? (a) -1 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaamaamuuanmma?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by -1\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 20 = 4*i + x, 5*x - 28 = -i. Suppose 2*u - 5 = -i*s + 3, -s - 3 = -5*u. Let a(q) = 2 - s - 2*q**2. Let b(p) = 2*p. Calculate b(a(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 1\/2, 1, 461?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1. Let z(b) = -3*b + 4. Determine 4*p(t) - z(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 90713 = -87281 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((1260\/8925)\/6)\/((-2)\/(-15))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**3\/3 + q**2\/2 - q + 297. Let c(u) = -2*u**3 - 5*u**2 + 4*u - 7. Let x = -2 + 1. Calculate x*c(n) + 5*l(n).\nAnswer: 2*n**3 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 at least 675\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-192) - ((-322)\/144)\/(-7)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/4391 + 6093\/3736741. Let i = -504\/295297 - k. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19372, 18587, 16450, 12283, 5408, -4853, -19178, -38245?\nAnswer: -62732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 10*w**2 + 22*w + 10. Let j be y(-6). Let t = j - 675. What is the closest to 6 in t, -3, 5, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8204, 8684, 9484, 10604, 12044, 13804?\nAnswer: 15884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0 + 12*z**2 + 3*z - 13\/30*z**5 - 1\/2*z**3 + 0*z**4. Let s(x) = -2*x. Give s(g(o)).\nAnswer: 52*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-19) - (1 - 1) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -31. What is the nearest to i in -0.2, 2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 1913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -5042.\nAnswer: 14\/2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p**4*z**2 + 6*p**2*z**2 - 2*p**2 - 3*p*z**2 - 26*p*z wrt p?\nAnswer: -60*p**2*z**2 + 12*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:01 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 5:36 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 19349435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*l + 23*l + 33*l + 690*l**3 - 2326*l**3 + 1012*l**3.\nAnswer: -624*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -283.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89114 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/188047 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x**3 - 5*x**3 + 31*x**3 + 12*x**3 + 32*x**3.\nAnswer: 91*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 0 - 5 - 6*z - 5*z. Let h(y) = 28*y - 19. Let j(g) = -12*g + 1. Let l(k) = -h(k) - 5*j(k). Let r(o) = 17*a(o) + 6*l(o). What is r(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-10)\/25*5. What is the greatest common divisor of u and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 159 - 173 + 5*x - 4*x. Let c be u(16). Solve 3*i + 4 = c*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01711259 and -0.4.\nAnswer: 0.006845036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43600.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/163, 4, -4, 1\/4, -1, -0.6 in decreasing order.\nAnswer: 4, 1\/4, 2\/163, -0.6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 71, 62, 63, 80, 119?\n\"Answer: t**3 - t**2 - 13*t + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1017 or -1014?\nAnswer: -1014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3738684.5 or 0.24?\nAnswer: 3738684.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12382152.9 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - -2*17) + -4 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -b - 126. Suppose -5*z = 3*c + 43, -2*z - 20 = 4*c - 0. Let g = z - b. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 0.68. Let u = -0.1 - r. Which is the third biggest value? (a) 1\/3 (b) u (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -6 + 4*1. Let a(u) = -2*u**2 + 2*u**2 - u**r. Let d(t) = -2*t. Determine d(a(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190516232 to the power of 1\/2, to the nearest integer?\nAnswer: 34504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 4*p - 21. Let j(d) = d**2 - 2*d + 13. What is 9*j(n) + 4*o(n)?\nAnswer: 5*n**2 - 2*n + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 2058 = -12*r. Let g = r + 5499\/8. Calculate the common denominator of 107\/12 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeiemomiwmmeowiiow. What is prob of picking 1 o, 1 w, and 2 i?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/50, -539, -4?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a - 2. Let q be (a + -1)\/(1\/(-2)). Solve 6 = q*s - 6*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22b18 (base 12) to base 13.\nAnswer: 18245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -275260 - 224?\nAnswer: -275504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 9. Let c(s) = -s - 10. Let g(w) = -6*c(w) - 5*t(w). What is the lowest common multiple of g(-11) and (2\/4)\/((-2)\/(-28))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-16)\/4 - (-6 + -20). Suppose 2*w = -2*a + 44, -h = 6*w - 7*w + 2*a. Solve -3*f + 19 = 2*t, -4*t - 4*f = -2*t - w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*n + 517*n + 21182 = -550*n + 131*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4934\/131387?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*n - 4*o, 0 = -n - 4*o - o + 12. Suppose -t + n*t = 5. Let q(i) = i**3 + 3*i**2 - i - 1. Let v be q(-3). Sort 3, v, t.\nAnswer: v, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -810 - -874. Suppose 71*t - 42049 = f*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/600 + -13 + (-869)\/(-66).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 20 = -3*u. Let b(n) = -6*n**2 - 5. Let m(g) = 42*g - 42*g + 9*g**2 + 7. What is u*b(j) + 5*m(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (255\/(-2))\/17*((-168)\/(-15))\/(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from {l: 1, u: 1, n: 3, x: 2, a: 3, s: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 359749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152821 = 35*z - 154361 for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/(-10))\/((-8)\/20). Let d = -36 + q. What is the units digit of 12\/d + 46\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjggu. What is prob of sequence uj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -14. Suppose j = -2*d + 8 - 2. Suppose -k - 6 = -d*k. Calculate the highest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 503 + -496. Let y(h) = 2*h**2 + 8*h - 32. What are the prime factors of y(u)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uouz when four letters picked without replacement from zuouz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*-8.9.\nAnswer: -382.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 4) + 24 + -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4893*l + 318249. What is q(65)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10167 - -10169.2. What is the biggest value in 183, d, 0?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11493*b - 40*b**2 - 11493*b.\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-273)\/117) - 13\/(1820\/(-96))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 4*b + 6. Let r be j(-4). Let m = 27 + -26. Let n(v) = v - 6. Let t(a) = -1. Let c(z) = m*n(z) - 3*t(z). Give c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1165272068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -157 (b) -23 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(2736) + sqrt(2736) + 0 - sqrt(2736) - 6*(sqrt(2736) + -1 + sqrt(2736))))**2.\nAnswer: -1320*sqrt(19) + 331081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -1676.\nAnswer: -1676.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ommommmo. Give prob of sequence omm.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 410881779 to the power of 1\/2, to the nearest integer?\nAnswer: 20270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73929842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361771 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*6\/11076*13)\/((-9)\/(-6)).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s - 48*s + 4*s to the form x*s + v and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320828859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 0*i + 0*i + 2*i - 12*i**2 as p*i + d + w*i**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8984*l**5 + 41*l - 58 wrt l?\nAnswer: 179680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 7*s**2 + s + 2. Let k be q(-7). Let r = 41.69 + -42. Let b = r + 0.71. What is the smallest value in 0.2, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-221)\/(-65)*15)\/(5\/35). Solve -20*p + 71*p - n = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -797164 divided by 4.\nAnswer: -199291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drddorokooro. Give prob of picking 1 d, 1 r, and 1 k.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 737.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r**2 + 2. Let h be (-2)\/(-13) + (48\/26)\/1. Let l(p) = -228*p**h - 2*p + 2*p - 38*p**2 + 77. Give -2*l(j) + 77*z(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 20 = -0*w. Calculate the remainder when w is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 794*c**4 - 175*c**4 + 3 + 980*c**4 - 1569*c + 195*c**4 wrt c.\nAnswer: 21528*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18810.89ml to litres.\nAnswer: 18.81089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/20*2*135\/81.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -28\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358285*w**2*y**3 + 157*w*y**3 - 67*w*y - 5*y**3 - y**2 wrt w.\nAnswer: 716570*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2486)\/(-339)*(-12)\/22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278.25 - 457.71. Let u = j + 736. Which is bigger: 10 or u?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 91 = -96. Let u = l + 36. Let c = 59 - u. Calculate the highest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(171)*2)\/sqrt(9) + 6*(-3 + sqrt(1539)))**2.\nAnswer: -2016*sqrt(19) + 59910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-387)\/12 + -7)\/((-2)\/8). Let t(l) = 327 - 163 - 2*l - s. Determine t(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -4. Let v be (-29)\/(-4) - 1\/4. Solve -4*u + 5*h - v = -u, 3*u - 2*h + p = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 12*i - 6. Let g be (22\/(-4))\/(7\/(-14)). Let q be x(g). Suppose s + 2*s = 0. Sort s, -5, q in decreasing order.\nAnswer: q, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209154768 divided by -11873.\nAnswer: -17616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7480 or 6927?\nAnswer: 7480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/19, 34, -9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:27 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**3 + 5*o**2 + 17*o + 1087. Let u(c) = 12*c**3 + 4*c**2 + 19*c + 1087. Let m(f) = 4*j(f) - 5*u(f). Find the first derivative of m(y) wrt y.\nAnswer: -24*y**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/242 and 39\/326362.\nAnswer: 39489802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 2, 8, 5, -95, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*f, 5 = -x + 4*f - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1213 - -2262. Suppose -801 = -10*u + o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 156 - 1186 + 352 + 355 + 323.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18949.391765292 + -32.611751692. Let o = -18917.78 + i. Let q = 1 + o. Round q to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 148*d + 596 + 274 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-14))\/((-9)\/189). Let d be -1*(q - 0) - -1. Let f = -103\/3 - d. Which is the closest to -1? (a) -5 (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(343)*6*-4 - (-3 + (6*sqrt(175)*5 - sqrt(175))))**2.\nAnswer: 3162*sqrt(7) + 1944112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854 - 0.4.\nAnswer: 853.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.7 + -20.6. What is the fourth smallest value in 1\/5, u, 0.4, 1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-48)*-2 - 3)*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 269 - 277. Let l be x\/(-80)*24 + -2. Let k = -1774\/3129 + -2\/447. What is the smallest value in l, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 9*n + 74 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 45 - 9. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-72)\/(-15))\/((-3)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z - 10*z - 10*z to the form u*z + v and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93b (base 14) to base 10.\nAnswer: -1817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 40 and 1437\/35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 - m**3 - 3*m**2 - 3*m**2 - m - m**4 to the form p + q*m + x*m**3 + u*m**2 + l*m**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffwwwfwwwff. Give prob of sequence ff.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 6.7. Let m = o + 0.7. Let v = m - 0.6. What is the closest to 0.1 in v, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1055104 (base 6) to base 7\nAnswer: -314116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10))\/(84\/35). Suppose 1 + 7 = -2*s. Let a be (-2)\/8 + 12\/32. What is the smallest value in s, a, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 2*o**2 - 3*o - 2. What is the smallest common multiple of (-3)\/(-2*12\/8) and j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by -51.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*x - 78 = -2*n, 2*n = x - 31. Let j be ((-10)\/n)\/((-11)\/(-3) - 3). Solve -4*a - 11 = j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 26 + -9 + -16 + 3.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1431 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -4. Sort -106, l, 2\/5 in increasing order.\nAnswer: -106, l, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 170 and -0.68044.\nAnswer: 169.31956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42658 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*r + 73*r - 141*r + 447*r**2 + 6913*r**2.\nAnswer: 7360*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*117\/(-78)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68909726453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.3. Let a = -6 - -5.6. Let c = 0.2 + a. Put 0.4, h, c in decreasing order.\nAnswer: 0.4, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5840926 divided by 7?\nAnswer: -834418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 350930 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*c - 108*c = 3120 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4671366 (base 12) to base 9\nAnswer: -27504156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(3\/(-90)*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18*t**2 + 3*t - 11. What are the prime factors of r(-4)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 1, h: 1}. What is prob of picking 1 h and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525904790.\nAnswer: 2, 5, 61, 862139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.4 + -1.4. Let x = -5 + o. Let a = x + -5.9907. Round a to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 6*i**2 + 4. Let d(g) be the third derivative of g**4\/24 - 3*g**3\/2 + 2*g**2. Let f be d(15). Determine l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -693, -1942, -4279, -8070, -13681, -21478?\nAnswer: -31827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -881 at least as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*l = 3*l - 38, -5*u = 4*l - 81. Calculate the remainder when 19 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73671?\nAnswer: 3, 13, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/5)\/((-3)\/(-225)). Let k be 4\/2*q\/12. Suppose -3*n + x - 3*x = -k, -3*x = 2*n - 15. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*108\/189.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 9*w - 25. Determine v(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -38300 (b) -1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 4*g - 2*g)*(-15 + 15 + 5*g + (1 - 1 + 2*g)*(92 - 17 - 39)).\nAnswer: 539*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 515818 or 515806?\nAnswer: 515818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -162*j. Let a(v) = v**2. Calculate w(a(q)).\nAnswer: -162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 5 (b) 1 (c) -4765 (d) 103\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*y, 162 = 2*p + y + 27. What is the least common multiple of 7 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54464281, 54464284, 54464287, 54464290?\n\"Answer: 3*a + 54464278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -78849.1 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (726240\/(-2848))\/((-15)\/2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 647*t + 58374. Give j(397).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/24*(1 + 1 - -4). Let o be (-71)\/(-2) + m\/(-2). Calculate the greatest common divisor of 140 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23212480 divided by -5\nAnswer: -4642496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**3 - 10*o. Let l(a) = -a**3 + a. Calculate 30*l(d) + 3*x(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440144101 (base 5) to base 10.\nAnswer: 1881151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q - 21. Let y(z) = -2*z - 5. Suppose -8*o + 12*o + 216 = 0. Let w = 51 - 126. Let m = o - w. Calculate m*y(l) - 5*c(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008633583 to 6 dps.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzz when three letters picked without replacement from {w: 1, z: 2, i: 1, j: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239769 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:23 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 - -0.4. Let k = -0.17 - 0.03. Let s = -6 - -3. What is the second biggest value in k, l, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 37*x + 23. Suppose 0 = -1006*f + 1014*f + 152. Let o be n(f). Calculate the greatest common divisor of o and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 23)*3\/4. Let l be 1\/(-4) - 13\/(-4). Let d be 2\/l - 39\/(-9). What is the highest common divisor of x and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 160659445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2868384 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -380 - 23*t**2 + 380 + (t**2 + 4*t**2 - 2*t**2)*(2 - 3 + 2) - 5*t**2 - 2*t**2 + 0*t**2 in the form s*t**2 + n*t + i and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((357175\/1575)\/(-157))\/(2\/18).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.2757 millennia to decades.\nAnswer: 6527.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 13. Suppose -z + w = -4 + 6, p*w - 28 = -z. Solve -3*u + 4*u - 4 = 0, -5*l - 2 = -z*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20746 is divided by 2302.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84339 or 84331?\nAnswer: 84331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 74. Let u = c + -29. Calculate the greatest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118251 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 109\/870503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.32 - 0.02. Let t(n) = n**2 - 8*n + 19. Let f be t(5). What is the closest to -0.4 in f, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s**2 + 4*s - 5. Let m(u) = 11*u**2 + 6*u + 4. Let v(q) = -6*q**2 - 4*q - 2. Let c(x) = 3*m(x) + 5*v(x). Give -2*b(z) - 5*c(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 820842381 divided by -3\nAnswer: -273614127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 657804 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6017 - 5540. Calculate the highest common divisor of 279 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f + 1442 + 286 = -181 - 38 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/6749 and 39\/36524?\nAnswer: 620908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/4 - 16305*h**2 + 1760387*h\/4 - 2868492 = 0.\nAnswer: 11, 16, 65193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1\/4, -1506, -1\/2, 0.04, -0.08, 4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 344*r**2 + 6*r - 36. Is h(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1163886 and 348?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -64622?\nAnswer: 64621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136692 is divided by 878?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(288) - (sqrt(288) + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2 + (4 + sqrt(5000) + 1)*-2)*3)**2.\nAnswer: 14400*sqrt(2) + 180576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4662129.937 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Let i be 2 - ((-364)\/6 + (-14)\/42). Let t = -61 + i. Solve -t*b = -q*c + 3*c + 20, b - 10 = -3*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 20, 5*r = -2*v + 22 + 9. Let b(i) = i**2 - 3*i - 5. Let d be b(4). Let t be ((-1)\/(-1))\/(0 + d). Sort v, 2, -34, t in decreasing order.\nAnswer: v, 2, t, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2. Let x(s) = -1268*s**2 - 2*s + 2 + 1266*s**2 - 2. Let p(n) = 4*n + 7. Let m(h) = -p(h) - 2*x(h). Give m(w(r)).\nAnswer: 16*r**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y + 71 = 54*y + 6*c, y - 5*c - 4*c + 7*c = -37 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {v: 17, c: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9296475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w + 9. Let f = 0.01 + 0.39. Put w, f, 1 in decreasing order.\nAnswer: w, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12319 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 9. Let p = m + -2. Let n(k) = -98598*k - 394394. Let a be n(-4). What is the smallest value in 0.1, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5649631 to 2 dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**3 + l**2 - 4*l**3 - 720*l + 724*l to the form h*l + i + z*l**3 + j*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*u - 65 = -h, 156*h - 157*h + 17*u + 31 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/2 - 1862241*q\/2 = 0?\nAnswer: 0, 1862241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 36*k - 16. Let x be v(4). Factor 594*u**3 + 100*u**5 - 16 + x*u + 52*u**3 - 90*u**3 - 239*u**2 - 149*u**2 - 380*u**4.\nAnswer: 4*(u - 1)**3*(5*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 6*n**2 + 3*n - 9. Is 11 a factor of q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22556095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58931281.581 - -58903213. Let k = i - -28052. Let b = k + 0.281. What is b rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57520 divided by 11119\nAnswer: 57520\/11119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -19. Let t(o) be the second derivative of -o**3 + 2*o. Let w(l) = -4*l. Let h(a) = d*w(a) - 5*t(a). Let u(z) = 6*z. Calculate u(h(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 1969*z + 3934 = 0.\nAnswer: 2, 1967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 12. Suppose 0 = -2*s - 2 + 8. Suppose -4*j + 78 = 3*a, 5*j + 65 = s*a + h. Calculate the lowest common multiple of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.3+-2.5\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 3*t - 10*t)*(5 - 3 + 2)*(-2*t - t + 6*t).\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 3:00 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2328144 and 101\/11640720?\nAnswer: 11640720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3788 - 3787.5. Let l = -0.49 + 3.59. Let y = l + -3. Which is the third biggest value? (a) j (b) 11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1872191*0.26\nAnswer: 0.048676966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, c: 2, z: 6}. Give prob of sequence cc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 96, 0, -7, -4 in increasing order.\nAnswer: -7, -4, -2, 0, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 7\/3 (b) -5 (c) 341 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*n**3 - 3*d**2*n + 130*n**3 + 16*n wrt n?\nAnswer: 12*d**2*n + 780*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/11 + 8\/11. Sort m, -2, 2\/5, -0.4.\nAnswer: -2, -0.4, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -20. Put 5, 7, g in decreasing order.\nAnswer: 7, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, 7, 103, 289, 595?\n\"Answer: 5*w**3 + w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 20. Let b(o) = -o**3 + 7*o**2 + 7*o + 7. Let l be b(c). Which is smaller: -1\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 137 = 31. Suppose 63 = -6*u + 10*u + w, -79 = -5*u - w. Calculate the remainder when s is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0110993841 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23662*0.1296.\nAnswer: 3066.5952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2.08, 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 + h + 13. Calculate the remainder when v(3) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 1. Let b(p) = -p**2 - 2*p - 9. Let h(m) = b(m) + 6*g(m). Let t be 6 + 1\/(10\/6 + -2). Suppose 0 = t*k - q - 10, 4*k - 35 = -k - 2*q. Give h(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4037945 + 4037945 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -1\/4*m**4 + 1\/2*m**2 - 2\/3*m**3 - 19 - 3*m. What is n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -189\/2. Which is the third smallest value? (a) 1 (b) 2\/43 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 80126.54um?\nAnswer: 80126540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -4 (b) 0 (c) 3 (d) -10 (e) 26914\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*o + 8, -13*f + 12*f - o = -2. Solve -4*n - 11*n = f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, t: 4, a: 2, h: 2, e: 2}. Give prob of picking 1 e and 1 t.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, 1.51, -4, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 - 6299274*m = 0.\nAnswer: 0, 2099758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(5)*-1)*4 + sqrt(26)\/(sqrt(242)*-3))**2*1 + 2.\nAnswer: 232135\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - (-230)\/(-30))*-48. Suppose 0 = f*g - 652 + 108. What is the greatest common divisor of 323 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6484753 at most -6484902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -361*q**2 + 3 + 7*q**2 - 337*q**2 + 168*q**2 + 650*q wrt q?\nAnswer: -1046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-44) + (-33576)\/(-22) + -7. Calculate the greatest common factor of d and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5442*a. Let k(c) = -3*c. What is k(x(t))?\nAnswer: 16326*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(13) + (sqrt(39)\/sqrt(3) + -2 - sqrt(13)) + -3 + -1 + (sqrt(26)\/(sqrt(32)*-1) - ((sqrt(13) - (1 + sqrt(1053))) + -1 + sqrt(832)))**2.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2640)\/(-6720) + 3\/84\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 53215*f**3 - 53227*f**3 + 0*f**2.\nAnswer: -12*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldtccid. What is prob of picking 1 c, 1 d, and 1 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -5.06. Let x = -36.5 + 36.6. Which is the nearest to -5? (a) w (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 at most as big as -116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u. Let n = u - -3. Let c be 4 + 3\/(-6)*(-12)\/(-3). Solve 7 = -5*f - 4*g - c, -n*f + 4*g - 31 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j + j**3 - 2*j**2 + 2 - j - 5*j + 0*j. What is the least common multiple of 6 and y(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.6 and -4033130563.\nAnswer: -4033130575.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8) - 195\/156. What is the second biggest value in 0.2, d, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-72)\/(-54))\/((-2)\/(-12)). Let h(b) = -5*b. Let j be h(-1). Solve q = j*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (49 + -53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 divided by -4.\nAnswer: 151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**3 - 4*x**2 - 5*x - 7. Let w(b) = b**2 + b + 2. What is -f(g) - 4*w(g)?\nAnswer: -9*g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 592*m\/3 - 6754\/3.\nAnswer: 2*(m - 11)*(m + 307)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12831 - 6836. What are the prime factors of x?\nAnswer: 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191475.\nAnswer: 3, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84222 + 6400765\/76. Calculate the common denominator of -73\/4 and d.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - t**3 + 4*t**3 + (2*t + t - 2*t)*(2*t**2 + 0*t**2 - t**2) + 71*t**3 + 83*t**3 - 114*t**3 + (61*t**2 - 58*t**2 - 33*t**2)*(0 - t + 0).\nAnswer: 73*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 927 a factor of 3415241213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28b (base 15) to base 6.\nAnswer: -2405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 3. Let y be 1\/(-2)*(x + 0). Is y <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*a + 2*a + 10, 5*z + 6 = 4*a. Let v = z - -6. What is the lowest common multiple of v and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, -4, -1.4, -162, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3916629?\nAnswer: 3, 435181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14591 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 16*y**2 - 4*y + 53. Calculate i(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*o + 33 = 86*o. Let s = -79.5 + 79.9. Which is the closest to -2\/3? (a) s (b) -0.5 (c) 1\/2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -153\/2, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/((-210)\/45))\/(111\/244). Which is greater: k or -8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368337753?\nAnswer: 3, 7, 31, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198880 - 72938 = p. Let t = -35042 + p. What is t rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*j - 8, 0 = -4*o + 3*j - 0 - 7. Let z(r) = -2*r + 2 - o. Let b(w) be the first derivative of -7*w**2\/2 - 21. Determine b(z(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:36 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 55 - 29. Let j = z + 18. Let v(g) = -11*g + 6. What is the tens digit of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8514231262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8356 to the nearest one hundred.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 10) to base 11.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15007 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5061 + -5060.99. Which is greater: -1\/87 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3511*-0.03407.\nAnswer: -119.61977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 6*g - 9. Let c be x(-6). Let v be (22\/3)\/(6\/c). Let u(j) = j**2 - 2*j + 2. Let k(d) = -4*d**2 + 10*d - 11. Determine v*u(n) - 2*k(n).\nAnswer: -3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose 0 = 4*u - 3*u - b. Suppose 135 = u*c + 47. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1539)*5)**2 - sqrt(1539))*2 - (1*sqrt(1900) + 1 + 5).\nAnswer: -28*sqrt(19) + 76944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/30)\/(7\/(-126))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14\/g)**(-4) assuming g is positive.\nAnswer: g**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7699057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-301)\/387)\/(2\/(-6)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*1 + (-10)\/(-5). Solve 5*q**2 + g - 2*q - 3*q**2 - q**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*u + 46464003, 0 = u + y + 15504785 - 3888788. What is u rounded to the nearest one hundred thousand?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275904573 to the power of 1\/3, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4553422410 plus 4?\nAnswer: -4553422406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22732634952480.7700003 - 22732630375293. Let l = a - 4577188. Let d = l - -0.23. Round d to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k**2 + 1267*k + 183. What is z(-38)?\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 12, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16303753 a multiple of 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/25, 4\/9, -1.\nAnswer: -1, -2\/25, 0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*u = -4, -5*q + 4*u + 5 = -2*q. Let r be (q - (-3 + 3)) + 1. Solve -3*w + x - 7 = r, 0 = 5*w + 3*x + 2*x + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, s: 13}. What is prob of sequence sk?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.70604 years?\nAnswer: 0.470604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 668 by 4.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.0029 and 166.3982286.\nAnswer: 165.3953286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 4:01 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45760*n + 45771*n + 616 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -714 or -718?\nAnswer: -718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -524 + 532. Solve 23*o - z = 21*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3166*k**5*p - 206*k**3*p + 5*k**3 + 17207379*k + 7*p wrt k.\nAnswer: 63320*k**3*p - 1236*k*p + 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15600 - 2*s**3 - 33715 + 4*s**3 + 14804.\nAnswer: 2*s**3 - 34511","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 63036 * 0.02\nAnswer: 1260.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1345.6.\nAnswer: 134.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3048*b**2*g**3*x + 17*b**2*g**3 + 6*g**3 - g**2 wrt x?\nAnswer: -3048*b**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acaacaaaaacacaca. Give prob of picking 1 c and 2 a.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, w: 2}. Give prob of sequence wdw.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/x)**(-2\/19)\/(x**3)**(-40) assuming x is positive.\nAnswer: x**(6842\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 4\/9, -1815, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 61969 and 9.\nAnswer: 61978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7251 + 7328. Calculate the remainder when 207 is divided by o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -120?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*s + 12 = 5*s - 18, 0 = -m + 8*s - 1 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10066021 or 10066023?\nAnswer: 10066021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-14))\/((-7)\/(-6 + 13)). Let q = 5.1 + -5. Sort q, 1, 2, w in decreasing order.\nAnswer: 2, 1, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24165\/(-716))\/(171\/152).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*k = 124, 5*o - 4*k + 2*k = 566. Let q = -47 + o. Suppose -3*i = 2*i - q. Solve 3*h = 5*x - 28, x - 2*h + i = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 3a0?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 19*k**2 + 54*k + 11. Let t be (20\/(-50))\/(1 - 123\/120). Calculate the remainder when g(t) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160005 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**9\/3024 - r**8\/1680 + r**7\/840 + r**6\/360 + r**3\/3 - r**2. Let u(g) be the first derivative of o(g). Factor u(j).\nAnswer: -j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 414 + 1274. Suppose 0 = 4*h + 3*z - g, -3*z = h - 6*h + 551. Let s = h - 21. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.1 (c) 5\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from yxyyxuyyyuuuyuxyuu?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*l + 1698 = 116*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53372233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 - 4*r**4 - 3*r**3 + 4*r**2 + 4*r.\nAnswer: -r*(r - 1)*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768 = -2*c + 48. What are the prime factors of ((-25)\/4)\/((-717)\/c + -2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 18*h - 4. Suppose -27*k + 50*k - 46 = 0. Calculate f(k).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120*l - 24*l**3 + 15 - 38*l**2 + 36*l**2 - 3*l**4 - 16*l**2 - 90.\nAnswer: -3*(l - 1)**2*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 2*k - 4. Let m be s(5). Let r(v) = 2*v**2 - 17*v + 35. Let y be r(3). Let b be ((-2)\/4)\/((-1)\/10). Solve b - m = y*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*k - 60, 4*k - 4*m = -2*m + 90. Let y = 3 - k. Let w be 92\/22 + y\/121. Solve -w*x = 5 - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251224518877\/220 + -1141932057. Let u = 12117\/5 + k. Find the common denominator of u and -125\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -265, -536, -817, -1108, -1409, -1720, -2041?\n\"Answer: -5*s**2 - 256*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 59.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 422135478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y - 5. Let m(u) = 9*u - 11. Calculate -2*m(i) + 5*n(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 219348031 divided by 7?\nAnswer: 31335433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -87\/128?\nAnswer: -87\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/(-10) + 1)\/((-88)\/220). Let j be (-5 + 2)\/(6\/(-4)). Find the first derivative of 5 + 19*f**2 - j*f - f + c*f wrt f.\nAnswer: 38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 11*z**2 - 29*z + 3. Let f be t(-8). What is the second derivative of -f*o - 10*o**4 - 11*o**4 - 18*o**4 - 7*o**5 + 42*o**4 wrt o?\nAnswer: -140*o**3 + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 193.8 and -518.25?\nAnswer: -100436.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c. Let m(h) be the second derivative of h**4\/4 + 8*h. Determine z(m(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7784.2 + -7821. What is x rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q. Let u(t) = -4*t**2 - 2*t - 2. Let i(x) = -x**2 - x - 1. Let o(r) = -2*i(r) + u(r). Determine o(m(z)).\nAnswer: -242*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -891517384*w + 1108655103 with respect to w.\nAnswer: -891517384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134177 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -6, 4, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/3)\/(72\/(-24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*b**2*x**2 - 31283*b**2*x + 7*b**2 + 15*b*x**2 - b*x - 512*b + 11*x**2 + 5*x - 1 wrt b.\nAnswer: -272*x**2 - 62566*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)**(5\/9))**7\/((p**(-2\/7)\/p*p)**(-20)\/(p\/p**(-2\/7)*p**(-4\/7))) assuming p is positive.\nAnswer: p**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose j*b = 7*b - 800. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98874101 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 0.27 (c) -66 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wssssvvv. Give prob of sequence sw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:56 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5025*y**2 - 1 + 5024*y**2 + 1. Let i(x) = 3*x + 33. Calculate h(i(n)).\nAnswer: -9*n**2 - 198*n - 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000135944 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3603663 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 128 and 93 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 447153 and 14925?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -3 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + o**2 - 2. Let j be n(-3). Calculate the greatest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 545*w + 352*w + 49*w - 107*w - 5873 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6598, -5793, -4460, -2605, -234?\nAnswer: 2647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -34.9. Let r = 244 - 2194\/9. What is the third biggest value in w, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334504728 divided by 2421?\nAnswer: -138168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*l**2 - 90*l**2 + 163*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 3406422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110100011011011 - 11000?\nAnswer: -111110100011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648932, 648940, 648948?\nAnswer: 648956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from rgeig?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 2*j + 3. Let w be h(3). Let q be 4 - w - -1*7. Solve 0*a - q*a + g + 9 = 0, -5*g = 3*a + 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 110.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osso when four letters picked without replacement from {k: 5, o: 3, s: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and -123\/134830.\nAnswer: 269660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 246, 42\/13, 0.5, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51541 is divided by 2571?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002929 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 37*y**2 + 20*y - 538. Let d be u(-36). Solve -122 = 12*w - d for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-11)\/k)\/k**29)\/(k**(-10)*k*k**(-3)\/k))**(5\/2) assuming k is positive.\nAnswer: k**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 1\/3, 0 in increasing order.\nAnswer: -5, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:21 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(3\/45). Suppose 3*u - 3 - 5 = -2*q, 5*q = -3*u + 20. Factor -1\/4 + 27\/4*o**z + 45\/2*o**3 + 11\/4*o - 23\/2*o**2 - 81\/4*o**q.\nAnswer: (o - 1)**2*(3*o - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y**2 - 14*y - 14. Let n be (-1 - -1) + -1 - (54 + -1). Let j = 68 + n. Let s(k) = 2*k**2 + 3*k + 3. Calculate j*s(f) + 3*d(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f**2 + f + 6. Let u(g) = -g**3 + g**2 - g + 4. Let y = 4 - 4. Let l be u(y). Suppose 0 = -w - l*w. Determine m(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -0.4, 0.5 in descending order.\nAnswer: 0.5, -0.4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472066?\nAnswer: 2, 7, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*8\/(-56)*-7*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3692594166 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8407 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2265813933?\nAnswer: 3, 755271311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h + 0*h - 3 + 4*h + 7*h**2. Let x be o(-2). Suppose -c + 4*t - 5 = 0, -5*c + 3*t = -3*c. Calculate the highest common factor of c and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(171)*2 + sqrt(171))\/sqrt(9)*4.\nAnswer: 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/1240*(-12990)\/9093.\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1288\/9 + 1282\/9. What is the biggest value in 14, k, 2\/13, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114958367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1 - 64\/(-16). Differentiate -19*p**3 + 5 + 1 + m with respect to p.\nAnswer: -57*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.018 (c) -21 (d) 43 (e) 0.9 (f) 3\/2 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169576\/8856 + (-3)\/(-6)*-38.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031310113 + -313?\nAnswer: -1031311032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -39. Let k(t) = -z*t + 188*t + 19 - 6*t - 57. Is k(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 + 3*c)*(16*c**3 + 8 - 8) + c**2 - c**2 + 4*c**4 to k*c + f + u*c**3 + o*c**4 + z*c**2 and give o.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 699405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1311 + 0.1311. What is the closest to k in 0.4, -0.7, -1.3, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -81*i - 869 + 2435. Let m(r) = 4*r - 20. What is m(i)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -220102010102?\nAnswer: 220102010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3991815 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-84))\/(-1*(-2)\/(-4))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from mvlmllvmmwwvm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 61*q**2 + 63*q**2 - 6*q)*(-5*q**2 - q**2 + 2*q**2).\nAnswer: -8*q**4 + 36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 770 = 5*i, -2*i - 255 - 202 = -3*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 62.72905\nAnswer: -37.63743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/7 + 2 + 17 + -12?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -17. Let n(i) = i**3 + i. Let r(j) = 2*j**3 + 8*j**2 + 11*j + 7. Let y(q) = v*n(q) + r(q). Let u be y(9). Sort -4, 0, u in decreasing order.\nAnswer: 0, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3396 is divided by 1089?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -k + 2*g, -8*g + 6*g = 4*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 288574 (base 9) to base 5\nAnswer: 21130030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -9. Suppose 7*f = 2*f + i. Let k(g) = 150*g. Let q be k(f). Round q to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**3 - h**2 - h. Let l(t) = t - 11. Let w be l(10). Determine y(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39391869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x**2 + 0*x**2)*(45 - 45 + 27*x + 9*x - 6*x + 2*x + (3 - 4 - 1)*(-1 + x + 1) - 1 + 1 - 2*x).\nAnswer: -84*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + -9.97. Let h = 716.3 + -706. Let i = h + x. Which is the nearest to 1? (a) i (b) -0.042 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -22*z. Let v(r) = -3366*r. Determine v(g(w)).\nAnswer: 74052*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23617 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*0 + 2. Let f(g) be the second derivative of g**5\/20 - g**4\/4 + g**3\/2 - g**2 - g. Give f(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 15*n - 4683. Suppose 3*d + n = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1723 - 1729. Let y(h) be the first derivative of -97*h**2\/2 - 25*h - 1. Is y(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*m**2 + 420*m - 306*m**2 - 420*m + 2 to the form x*m + r*m**2 + b and give r.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 17*z + 2*z**2 - 4*z**2 + 5 as i*z + q*z**2 + y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let u(g) = g**2 - g - 1. Let s be u(3). Suppose -6*h = 2*p - 2*h - 24, s = 5*p - h. Solve -3*v + d - 5 = k*d, 0 = p*v + 2*d + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.174242 take away -62?\nAnswer: 61.825758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 13267 - 375 = 5*p, p = 3*f - 2725. Let j = p - -6834. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -983922*u - 305631.\nAnswer: -983922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.742 (b) -0.5 (c) -4 (d) -40 (e) 5 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 55*i - 1 - 48*i + 104*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -29*t + 465. Let i be l(16). Solve -o - i = 0, -3 = 2*w - w + o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030481 to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16572554, -33145111, -49717668, -66290225, -82862782, -99435339?\n\"Answer: -16572557*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4) - 6\/4. Suppose 3*a - 3*j - 30 = -x*j, 3*a - 4*j = 31. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 26*l + 110. Let h(x) = x - 21. What is 3*g(z) + 15*h(z)?\nAnswer: 93*z + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*m = 2471344 - 2391544 for m.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a2 (base 13) in base 16?\nAnswer: 12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -17688 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016015 rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a week?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-22)*x*x)\/x))**(-24)\/(x**(16\/3)*x\/x**11) assuming x is positive.\nAnswer: x**(-1570\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 319, 543, 867, 1297?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156289 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226527 - 226524. Let r be (-1 + 2)\/(2\/(-6)). What is the closest to 21 in r, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5227786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/588 and 91\/10.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11e75b (base 15) to base 3.\nAnswer: 1121122012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 1. Let r(z) = 14*z - 2. Let a(g) = 11*b(g) + 4*r(g). What is a(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 11:24 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1253 is divided by 48.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -49*i + 2. Let a(o) be the second derivative of o**3\/3 - 724*o. Give a(y(d)).\nAnswer: -98*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4)*2)\/sqrt(12)*-6*1.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 3)*(5*x - 3*x - 3*x)*(-2*x**3 - x**3 + 5*x**3) + (-x - 2 + 2)*(3*x - 3*x + 3*x**3) as k*x**3 + a*x**4 + u*x**2 + q*x + s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/7 + 184*o - 29624 = 0. What is o?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 2*j - 1. Let k(m) = -m**2 - m + 5. Let i be k(0). Let s be (2 - 2)\/(1\/(-1)). Suppose i*z + s = 5. Give r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 < 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/12 + (-390)\/(-234).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37731 (base 8) to base 14.\nAnswer: -5d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88216 - 88216 - 414*a)*(4 + 0 + 1).\nAnswer: -2070*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 + 101100011?\nAnswer: 110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6604 * -37.8.\nAnswer: -24.96312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -617 - -605 - (-14 + -1). Solve 61 = -4*s - b + 40, 0 = -v*s - 4*b - 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) -4\/5 (b) -3\/2 (c) -1\/12 (d) 295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f - 208. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 27*o - 18122. Let s = o - 529. Solve s*b - 9 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - v + v + 173 - 158. Let q be t(-4). Solve -q*d + 2*x = 3*x + 11, -d - 2*x = 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -53\/3*s**3 + 0 + 0*s**5 + 0*s**4 + 0*s**6 + 46\/21*s**7 + 104*s + 0*s**2. Find the second derivative of a(h) wrt h.\nAnswer: 1840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1407, -11, 2, -55, 4.\nAnswer: -55, -11, 2, 4, 1407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = o - 16, -20*y + 12 = 4*o - 17*y. Which is bigger: 3\/49 or o?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -167561*g + 167461*g - 9200 for g.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((180276\/15)\/2)\/((-2)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**3 + 14. Let u(n) be the third derivative of n**5\/20 - n**2. What is u(p(v))?\nAnswer: 27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**5\/90 - 19*n**4\/54 - 35*n**3\/27 - 17*n**2\/9 + 196*n. Factor l(z).\nAnswer: -2*(z + 1)**2*(z + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 33*w = 0. Solve -5*f + w*y + 5 = y, -3*y = 4*f + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172 - -774. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 640 divided by -28\nAnswer: -160\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/32)*o)**(-22)*(((o\/o**(1\/6))\/o)\/o)**(-12) assuming o is positive.\nAnswer: o**(-513\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2489.55 + 51.55. Let c = -2217.6 - o. Let h = c - 197. Round h to zero decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8421793, 8421863, 8421933, 8422003, 8422073, 8422143?\nAnswer: 8422213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/78 and -19\/545104.\nAnswer: 21259056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/6344680 and -67\/50440206.\nAnswer: 1008804120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-16))\/(39\/(-8)). What is the closest to -3\/2 in -2\/5, -3\/8, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2670062*g**5 + 14912*g + 445 wrt g?\nAnswer: -53401240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4 + z - 3 + 1. Let r be 32\/(-18) + 12\/(-54). Calculate f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323 - 1303121?\nAnswer: -1310110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2863, 5839, 8803, 11755, 14695, 17623, 20539?\n\"Answer: -6*s**2 + 2994*s - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375067333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001110111100100110 (base 2) in base 6?\nAnswer: 133255422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 85*n**3 + 16*n**2 + 22*n + 8. Let v be t(-18). Let d = 1442924 + v. What is d rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - -650. List the prime factors of c.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5 - 21. Suppose -2*b + 20 = 5*x + m, -5*b + 5*x + 5 = 0. Solve b*j = -d - 5, 0 = -3*d - 3*j + 8*j + 27 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*z - 2*w - 20, 0 = -z + w + 4. Let g(m) = m - 4. Let l be g(z). Solve 4*o + l*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6304 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -15*w + 515. Let q be r(34). Which is greater: q or 48\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25.2, 8, -0.09, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/120 + n**5\/15 + n**4\/24 + 129*n**2. Let o(b) = -b**3 - 5*b**2 - 2*b. Give -3*k(g) - 2*o(g).\nAnswer: -g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 14) in base 11?\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1 + 2*r + 4 - 6*r. Let x = 18 - 26. Is n(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -100*j**4 + 89*j**4 + 10*j**4 - 20*j - 197*j**5 + (4*j**5 + 3*j**5 - 5*j**5)*(2 - 3 + 3).\nAnswer: -193*j**5 - j**4 - 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-63)*3*(-7)\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14 = -4*f + 18, 3*o + 4*f - 25 = 0. Suppose -4*r = -5*r - m - 7, 4*r - o = 3*m. Is (-9128)\/(-12) - r\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13*b - 6. Let d(j) = 13*j + 7. What is -5*d(u) - 6*s(u)?\nAnswer: 13*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3930 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2 - (19\/(-1) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 - 175. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-3640)*-35)\/(69\/(-24))\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 44 = -29*u + 26*u, -u + d + 23 = 0. Let h(o) = 28*o**2 - 1. Let l be h(1). Calculate the highest common divisor of u and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17617 + -17605. Suppose -3*g = f - 19 + 5, 22 = 2*f + 4*g. Is f bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -12*v - 13. Let x(n) = 5*n. Give d(x(f)).\nAnswer: -60*f - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4309*i - 149 = 4288*i + 145 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27585650 rounded to the nearest one hundred thousand?\nAnswer: 27600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2\/7 - 9993*y\/7 + 770724\/7 = 0. What is y?\nAnswer: 79, 3252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -4*o + 4*g, 50 + 92 = 4*o - 2*g. Let n be ((-27)\/4)\/((-5)\/((-240)\/(-9))). What is the greatest common divisor of n and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 203527564 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347848*i**4*j - 2*i*j - 2*i + 17*j - 90 wrt i.\nAnswer: -4174176*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38152281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:19 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 + -163. What is the closest to 1\/6 in z, 5, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - m + 1. Let z(n) = -45998*n**3 - n**2 + 23010*n**3 - 4 + 4*n + 22994*n**3. Determine 4*k(r) + z(r).\nAnswer: 10*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 6*x. Let v be s(6). Let u = 8 + -9. Let j be 0*(v - 1)*u. Solve -4 = -4*r - j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -0*v, -3*v + 2 = 222*g - 219*g - 2 + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/11 in -4, 134.5, 0.047?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -383 + 219. Let h = -89 - f. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 49. Suppose -3*f = -4*b + 80, -p*f + 4*f + 30 = -2*b. Let t be (-4 - f\/8)*0. Is -4\/13 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(11)*-1 - (sqrt(11) + (sqrt(11) - (sqrt(110) - sqrt(110)*-1)\/sqrt(10))) - (sqrt(11) - (sqrt(11) - sqrt(33)\/sqrt(3)*-5))*-6))**2.\nAnswer: 9251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/787208 and -31\/5?\nAnswer: 3936040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-135)\/(-6)) + 22\/99. Is (v - -1)\/((-11)\/(-11671)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47f082 (base 16) to base 14.\nAnswer: 8aa230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -94*n - 9484. Let l be c(-177). What is the greatest common factor of l and 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4923372.\nAnswer: 2, 3, 410281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 77\/2 of a milligram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3 (b) 2\/5 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 12 - 1. Let w = k - 0. Let s = w + -8. Solve -4 = 5*b + 4*r, s + 1 = -4*b - 4*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 18 - (-96)\/(-21)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 - -6.13. Let v = d + -6. Let l = v - 1. Which is the nearest to l? (a) 1 (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 5 = m - 5*g, 0 = -4*g. Find the third derivative of 3*n**2 + 4*n**3 + n**6 - 5*n**m - 4*n**3 wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1931 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60, -2\/11, 0.035, 46?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -64678\nAnswer: 3\/32339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c - -a2a?\nAnswer: aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 20582952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2 + 10789520*i - 10789522 = 0.\nAnswer: -5394761, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3 - 5565222*u**2 - 44521680*u - 89043296 = 0.\nAnswer: -2782603, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -236, -2, 29 in descending order.\nAnswer: 29, 0, -2, -7, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/1043 and (-85)\/714*12\/(-5).\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1323*d - 485. What is the units digit of b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 - -1) - 19 - -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 60. Suppose -y - 180001 = -5*u, -2*u + d*y - 16679 = -88682. What is u rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/10)\/(5\/(-25)). Suppose -3*o + 5*c - p*c = 0, 4*o + 3*c = 17. What is the second derivative of -11 - 2*g**2 + 11 - o*g wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1617497g?\nAnswer: 161.7497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4353949 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -26. What is the biggest value in 1, k, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 - -a400?\nAnswer: a424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5\/(-3 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166 and 3.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4009 + -3893. What is the greatest common divisor of 116 and j?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 443549 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 303 = z + 29, w + 5*z = 74. Suppose -k + 259 = 7*j, -2*j - 2*j = -2*k - 130. Calculate the highest common factor of w and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 8*q + 9*q - 2*q**4 - 2*q**2 as l*q**2 + g + a*q**3 + h*q**4 + s*q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*((-8596 + 4472 + 4532)*(-o - o + 0*o) - 2 - 2*o + 2 + (0*o + o + o)*(0 + 0 + 1)) to the form g + l*o and give l.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 23 - 3*w - 28 + 6 - w + 0*w + 3*w + (-3 + 0 + 10)*(-w + 1 - 1) in the form n*w + l and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 935863?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -63. Suppose 5*f - 61 = -3*p + 146, g*f = 3*p + 213. What is the remainder when 167 is divided by f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/125 and -4091 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3600 - 3640 = 4*n. Which is smaller: n or 19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12765787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -115.984. Put 0.3, -7, b in decreasing order.\nAnswer: 0.3, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 2 + 2)*(2482 - 5152 + 2535).\nAnswer: -540*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(-2*h + 31 + 4 + 0) + (-3 - 1 + 3)*(-3*h + 3*h + 2*h).\nAnswer: 2*h - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 17. Suppose -d - 2*a = p, 6*d - 5*a - 3 = 7*d. Factor 2\/3*k**4 + 0 - 2*k**d + 0*k**3 + 4\/3*k.\nAnswer: 2*k*(k - 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8768 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12711 = -5*g - 3220, 2*g + 2*q - 3806 = 0. Suppose 0*v - 5*v + g = 0. Suppose 0 = 5*i - 2475 + v. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trtp when four letters picked without replacement from jsprtjtsstjjjttcpcjp?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91465.7 - -1.3273.\nAnswer: -91464.3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from rrj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182646 or -182648?\nAnswer: -182648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v - 332. Let d be 58\/3*(10 + 207\/(-18)). Let o = d - v. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19111482 and 3216?\nAnswer: 152891856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 580\/879?\nAnswer: 580\/879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 102*h**2 + 280*h + 331. What are the prime factors of r(-106)?\nAnswer: 5, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y - 11*y - 128*y - 111 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69846534*k**4 - 144367200 wrt k?\nAnswer: -279386136*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 4*c + 2. Let g be f(-2). Suppose r = -3*r - g*w + 152, -2*r = 2*w - 76. Calculate the remainder when r is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14798 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-453)\/(-9) - (-2)\/(-6). Let b = o + -30. Let a(p) = 14*p**3 - 5*p**2 - 115*p + 116. What is the least common multiple of b and a(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 56*c - 32. Give x(7).\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -154*x + 168*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/7 - 16*r**4\/7 + 208*r**3\/7 + 512*r**2\/7 - 800*r\/7 - 256 = 0. What is r?\nAnswer: -14, -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3331363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*t + 25 = -0*t, -s = 3*t + 1. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**6\/168 + 743*g**5\/420 + 293*g**4\/42 - 14*g**3 - 432*g**2 - 9*g. Factor s(h).\nAnswer: (h + 2)*(h + 147)*(5*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13774 + 13769. Let j = 0.8 - -3.2. Put -4, 0.1, q, j in decreasing order.\nAnswer: j, 0.1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5080277123.\nAnswer: 109, 5273, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 84 = -r. Suppose 11*z = 8*z + r. What is the derivative of z*n - 11*n - 3*n + 5*n**2 - 4 wrt n?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 - 87. Let o = -11764 - -11791. Calculate the least common multiple of o and x.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13105428 and 302778?\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 26*i - 15. Let h be y(-11). Suppose 4*x = -3*k, -3*x + 5*k - 36 = -7. Let p be (h\/3)\/(x\/53400). Round p to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 38. Let r be y(12). Let m(d) = 34*d**2 + 10*d + 19. Let b be m(r). Calculate the greatest common factor of b and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -84. What is the second derivative of -32*o**3 - h*o**3 + 13*o**3 + 99*o wrt o?\nAnswer: -186*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 - -2 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*c*l + 33*c*o*v**3 - 87*c*v**3 + c - 236*l*o + 456*l*v**3 - 3*o*v**3 - 16*o + 19*v**2 with respect to l.\nAnswer: -38*c - 236*o + 456*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 19, -4, 0, 1, -1439.\nAnswer: -1439, -4, 0, 1, 2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 65918.32 decades?\nAnswer: 6591.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 981847440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 11*i**2 - 9*i + 1. Let c = -13 + 6. Is v(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -594.\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 44\/379, -1\/8, -0.4 in decreasing order.\nAnswer: 44\/379, -1\/8, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 35*z - 133. Calculate s(15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -129, -134, -141, -150, -161?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11388161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186\/25 + 196\/25. Let 0 + 1\/10*s**4 + y*s**2 + 2\/5*s**3 + 0*s = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59639.\nAnswer: 23, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m - 222 = -26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3228, 2958, 2662, 2328, 1944, 1498?\n\"Answer: -2*z**3 - z**2 - 253*z + 3484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*g - 1440 = 2*l, -25*g + 22*g + l + 90 = 0 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(98) + sqrt(98) - sqrt(98)) + -1)**2 - -3*(sqrt(128) + (sqrt(128)*-1)**2*2 + sqrt(128)).\nAnswer: -92*sqrt(2) + 1278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 0*d - 20 + 1\/2*d**2 + 10\/3*d**3. Find the second derivative of n(h) wrt h.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (1 + sqrt(17) + -1 - sqrt(17)))**2 - (3*sqrt(170)\/sqrt(10) + sqrt(17)).\nAnswer: -4*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m + 5*m + 112 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 17*l - 957. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(288)) + -5)**2 + -1*sqrt(8) + 3 + 0.\nAnswer: 98*sqrt(2) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -66, -81, -96, -111?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256663734 to the nearest integer?\nAnswer: 16021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 22*g**2 + 20*g + 27. Let t be p(21). Suppose -t*v + 7*v - 6 = 0. Solve 3*r = 2*n, 4*n - r - v = 2*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 6 + 23*h + 0 + 3 + 0.\nAnswer: 24*h + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182904\/((-22)\/33*-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 667? (a) -8 (b) 1\/3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w = 43*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 10:30 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 1)\/5 + -4)*120\/(-48).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2662 = -124. Let a = 2271 - q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-126))\/((1056\/165)\/32)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*n - 2. What is the remainder when -1 - ((-60)\/(-5))\/(-3) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(81)\/sqrt(3))\/sqrt(9) - ((-2*sqrt(27))\/sqrt(9) - sqrt(3)))*-1)**2.\nAnswer: -24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -15*v + 9. Let f be a(-5). Suppose 4*m + 4 = f. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**3 + 71*y**2 - 99*y - 506. Calculate p(8).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83355.57 days in minutes?\nAnswer: 120032020.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10807, -10879, -10955, -11023, -11071, -11087?\nAnswer: -11059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 23.6.\nAnswer: -7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1481 divided by 3\nAnswer: 1481\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/2 of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -4*u + 587. Is (u\/(-10))\/(36\/(-5580)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*z + 0)*(-2*z + 0*z + z) - 5*z**2 + 10 - 10 - 4 + 4 + 2*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 403, -1.\nAnswer: -4, -1, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-16) + 3\/(-12). Let n be (2\/(-25))\/((-2)\/(-10)). What is the nearest to n in y, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let n(w) be the first derivative of 0*w + 2*w**2 + 0*w**3 - 3 + 1\/12*w**5 + 0*w**4. Let t(y) be the second derivative of n(y). What is t(u(h))?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12263512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -1\/4, 1\/5, -3, -8, 90?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, z: 4}. Give prob of sequence zzs.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48662776*b**5 - 5185995*b**2?\nAnswer: 2919766560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*f - 5 - 3 - 62 + 64 + 6.\nAnswer: 372*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212746*x**3 + 4*x**2 - 710.\nAnswer: -1276476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y - 2 + 2*y)*((-4 + 2 + 0)*(0 - 2 + 3) + 15 - 14 - 168).\nAnswer: -169*y + 338","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -0.1, 0, 1\/45, -0.01?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-600))\/((-3)\/(-60))*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.284 - 0.984. What is the nearest to 0.1 in -0.0358, o, 0.2, -2\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -l + 5*q, -3*q - 12 + 0 = 0. 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: Let f = -26 - -65. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5901, 5487, 4793, 3819?\nAnswer: 2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212864 - -689214. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7821 = -y - 3785, 4*a + 5*y + 23212 = 0. Let b = -3779 - a. Find the third derivative of 32*g**2 + 2024*g**3 + 17*g**4 - b*g**3 wrt g.\nAnswer: 408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37769 or 113309\/3?\nAnswer: 113309\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 413 - 409. Calculate the greatest common factor of 70 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/(-82))\/((-7)\/(-4))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14016 + 14016. Let r = 16 + 0. Let v be ((-18)\/r)\/((-6)\/(-8)). Which is greater: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 21*h**8\/8 - 29*h**4\/12 - 7*h + 7. What is the third derivative of q(r) wrt r?\nAnswer: 17640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r + 3. Let s be m(-2). Let x be 0 - -2*2\/(-2). Is (x*1)\/(1\/s) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxb when three letters picked without replacement from bxxbxxxxxxxbxx.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205*j*v**3 + 11*v**3 - v**2 wrt j.\nAnswer: 205*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -39*v + 582. Give z(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/3 and 10\/43.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(3\/5)*s*s)\/(s\/((s*s*s**(2\/13))\/s)))**(-47) assuming s is positive.\nAnswer: s**(-11468\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(110)\/(sqrt(10)*-1).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5\/(-5))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*y + 5 - 2, 4*y = 3*w - 27. Let r(b) = 15*b - 6. List the prime factors of r(w).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.052 + -0.148. Let t = -2.8 - -3. Let y = 109 - 105. Which is the nearest to r? (a) y (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9696 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15)*75\/(-45)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 + 0.582.\nAnswer: 0.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 956 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -5, -8, -5, 10, 43?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*l + 233 + 4, l = 3*d - 233. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(sqrt(104) + -2*sqrt(104))*5)\/((sqrt(968) + (sqrt(968)*2 - sqrt(968))*2)*-1).\nAnswer: -25*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1454420 and 1144.\nAnswer: 37814920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*9\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*120\/30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 8*r - 33. Let n(i) = 5*i**2 + 10*i - 34. Let x(d) = -4*l(d) + 3*n(d). What is the smallest common multiple of 39 and x(0)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 17*l + 260. Calculate r(-27).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + sqrt(288) + 4*(sqrt(288) + -2).\nAnswer: -8 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 275 * 1\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 28.3. Put -3\/2, -1\/7, q in descending order.\nAnswer: -1\/7, q, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**5\/2 + 19*r**4\/12 - 4*r**3\/3 - 24*r**2 + 18. Factor g(o).\nAnswer: -2*(o - 1)*(15*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*g - 3 + 4*g**2 - 5*g**2 + 26*g as r*g**2 + n*g + c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 31*x - 35*x + 13, 5*x = q - 20. Put -9.37, -0.3, q in decreasing order.\nAnswer: q, -0.3, -9.37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 361.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 780492435*r + 0 + 780492421*r - 2.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 11:33 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 35, 25, 1, -43, -113, -215?\n\"Answer: -s**3 + 2*s**2 - s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**3*s**2 - 2*i**3*s - 698*i**3 + 47*i*s with respect to s.\nAnswer: 6*i**3*s - 2*i**3 + 47*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -15*m - 111. Let l be v(-8). Let p(t) = -6*t + 65. Let q be p(l). What is the greatest common divisor of q and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 14*j**2 + 25*j + 24. Let i(s) = s**3 + 13*s**2 - 24*s - 20. Let b(l) = -5*g(l) - 6*i(l). Determine b(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-845)\/(-13) - 79 - ((-1795)\/130 - 0)?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**5\/8 + 2517*q**4\/8 - 76059*q**3\/8 + 742323*q**2\/8 - 1214733*q\/4 + 307242 = 0.\nAnswer: 2, 3, 13, 808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79056*c + 39524*c + 39538*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248862309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 2*i**2 - 5*i + 3. Let p be b(-5). Suppose 5*f = f + p. What are the prime factors of f?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1710 and 3310047?\nAnswer: 33100470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/(-25))\/((-6)\/20). Let o(r) = r**3 - 12*r**2 - 34*r + 90. Let t be o(14). Is 1810\/x + t\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*v - 16810500 = 126*v. Round v to the nearest 10000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in 4, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*u**4 + 199*u**3 - 141*u**2 - 230*u - 6 wrt u.\nAnswer: -624*u + 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {d: 1, i: 1, g: 1, o: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k - 1 + 0*k**2 + 1\/3*k**3. Let j(v) = -v**3 + 8*v**2 - 7. Give -2*j(n) + 14*r(n).\nAnswer: 2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_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: Let q(i) = -i**3 - 13*i**2 - 3*i. Let w be q(-13). What is the greatest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a9a2 (base 12) to base 3\nAnswer: -10001112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6324)\/(-7378))\/(6*(-10)\/112)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2762461691 + 5027635324. Let u = -10152508174555\/4482 + w. Let c = -2\/2241 - u. Calculate the common denominator of c and 47\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*n, 0 = -4*b - b + 3*n + 14. Solve 0 = -b*d + 17 - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:25 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.559 times 0.5?\nAnswer: 2.7795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = 2*x + 12, -2*l + 14 = -2*x. Suppose 0 = -4*y, 4*d - 5*d - 11 = l*y. Let g = -3 - d. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*w**3*y**2 - 39238*w**3 - 446*y**4 wrt y?\nAnswer: -4*w**3*y - 1784*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234024, 233486, 232604, 231390, 229856?\nAnswer: 228014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from hybtxxhxhtxtthty?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 85.638*-0.1\nAnswer: -8.5638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3270739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15632 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-3)\/(-6) - 0). Which is the nearest to -1\/7? (a) -0.3 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let f(n) = 10205*n. Give k(f(m)).\nAnswer: -20410*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1632, -3484, -5336, -7188, -9040, -10892?\nAnswer: -12744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 0*f + 0*f + (-3 + 3 + f)*(45 - 163 + 15) to r + a*f and give a.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**2 + 137*d**2 + 34*d**2 as k*d + h*d**2 + j and give h.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/42 + 5035\/28. Let d = 179 - r. Let l = -9792 - -215513\/22. What is the common denominator of l and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*f - 305*f + 1 = t, f - 5*t = 3*f + 2 + 59 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -15 + 6 - (-4 - 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 47707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2469 + -3.7531. What is the third smallest value in 5, -0.11, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.707926 - 42725.77?\nAnswer: -42727.477926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d - 6. Let q(j) = j**3 - j**2 - j + 1. Let k be q(d). Suppose -2*p - 10 = 0, u = -k*u - 3*p + 5. What is the closest to 0.3 in -0.1, u, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267 + -266.99998623. What is s rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -8. Suppose 2*m + i*s - 9 = 0, -2*m - s = -5*m + 5. Calculate the lowest common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 9 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*s**4 + 146*s**3 - 42*s**2.\nAnswer: -1536*s + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3482\/5 + 699. Let l = -3421 - -10265\/3. What is the nearest to l in p, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 7*p + 3*p)*((0 - 1 + 2)*(0 + 1 - 2) - 2 - 4 + 0)*(-4 - 1 + 4)*(-p**2 - p**2 + 3*p**2).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15918 and 18192.\nAnswer: 127344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1772776.6 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/127750 and -53\/800.\nAnswer: 2044000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(2\/3)*h*h**2*h**(-1\/10)\/(h*(h*h*h**(-1\/2)*h)\/h)*(h**(-2\/13)\/h*h**6)\/(h\/h**(2\/17)*h\/h**(-2\/17)) assuming h is positive.\nAnswer: h**(893\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(60)\/(sqrt(1728)*1))**2.\nAnswer: 149\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6236838 and 3130.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 - ((9 - 3) + 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 2*r**2 - 7*r**2)*(7 + 3*r - r**2 - 7).\nAnswer: 5*r**4 - 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45, 90, 127, 150, 153, 130?\n\"Answer: -r**3 + 2*r**2 + 46*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1472404.\nAnswer: 2, 17, 59, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from qjkbj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-11)*(-3)\/(-27)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-6 + (-1 - -2)). Let b(o) = o**2 + 2*o + 5. Does 7 divide b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*n - 4*k = -87*n - 18, -3*k = -2*n - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28363963423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2999305415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.4000143 + -21.4. What is i rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 59.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -692*a**2 - 10 with respect to a.\nAnswer: -1384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2 - 2 + 5. Let k(y) = y + 2. Let z = -27 + 29. Suppose d + 4*s = 18, -5*d + 4*s = -z*d + 10. What is d*k(m) - 5*l(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 2*i - 11. Suppose -4*b + 2*b + 4 = 0. Suppose 32 = -4*r - 5*x, 3*r + 12 = -b*x - 12. List the prime factors of o(r).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0. Let t = -195 - -199. Which is the third smallest value? (a) 5 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*n - 7*n + n**2)*(-n + 2 - 2) + n**3 - n**3 - n**3 - 2*n**2 - 3*n**2 + 3*n**2 + 10*n**3 to the form j*n + g*n**2 + r + l*n**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 188 = -5*j - 518, 0 = -2*k - 3*j + 686. What is k rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -579\/8 + 75107\/1032. Let k be (-6 - -8) + (-83)\/43. Let x = k - l. Which is the third smallest value? (a) -5 (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64422 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140041*k**2 + 80319*k**2 + 59724*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-45)*(-12)\/(-16)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 29, -101, -4, 58, 13.\nAnswer: -101, -4, 1, 5, 13, 29, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 38*w**3 - 2*w + 39*w**3 + 4*w**2 - 2*w - 2. What is m(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375) - sqrt(375)*-1)\/sqrt(5) + sqrt(27)\/(sqrt(9) + (sqrt(99) - (sqrt(99)*1 - sqrt(99)))\/sqrt(11)).\nAnswer: 21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = o + 17, m + 16 = -3*m. Let w(q) = -q + 8. Let l be w(6). Let x(h) = 34*h**l + 1 - 17*h**2 - 26*h**2. Determine x(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t**2 + 46*t**2 + 9*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -288*m - 8. Let b be g(0). Let v(t) = t**2 + 5*t - 19. What is v(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2324 - -0.7324. Let h = -2109\/13 - -162. What is the nearest to -0.1 in -5, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18800002\/4 + (-1)\/2. What is w rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.05 + -0.05. Let n = -9 + h. Let k = 38\/61 + -175\/183. Which is the nearest to 1? (a) k (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196 - -249. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*q**2 - 1 - 325*q**2 - 635*q**2.\nAnswer: -888*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 29. Let z(y) = 2*y**2 - 51*y - 60. Let h be z(27). Calculate the greatest common divisor of h and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/304)\/(120\/190).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*v + 4*v. Calculate the smallest common multiple of 8 and (v\/9)\/((-2)\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 - 70. Let m = a + -23. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 119048, 122919, 129370, 138401, 150012?\n\"Answer: 1290*v**2 + v + 117757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22020507 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 - (91 - (133 + -24)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 9 + -2 + (-1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-6 + 3)) + -3 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 11, 2, -18 in decreasing order.\nAnswer: 11, 5, 4, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/65*(-715)\/(-110)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7551.8465 rounded to the nearest one hundred?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3*r**2 - 6)*(0*r**2 + 2*r**2 + 2*r**2)*(2 + 2 - 3)*(4*r - 4*r - 7*r).\nAnswer: 84*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2662 or 2703?\nAnswer: 2703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -32*a + 150. Let m be q(7). Are -1\/30 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k**2 + 10*k + 10. Let n be -18 - (-16 - (5 - -2)). Let l(c) = 9*c**2 - 7*c - 7. Determine n*x(j) + 7*l(j).\nAnswer: -2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*s - 0*p + 10, 0 = 5*s - 4*p - 20. Let v(y) = 4*y + s*y + 7*y. Let u(c) = -c. Determine u(v(h)).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1445 and 877982.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/17)\/(v\/(v*((v\/v**(-9))\/v)\/v))*(v*v\/v**1)**(-12) assuming v is positive.\nAnswer: v**(-66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -337?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*x + 11, -3*x - 6 = o - 1. Let d(g) = -g - 2. Let z be d(-4). Let y be (2 - 2)*1\/z. Put -3, o, y in decreasing order.\nAnswer: y, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/20)\/((-14)\/(-10) + -1). Suppose -l*r = 5*s - 23599985, 0 = r + 4*s - 2*s - 5899994. Round r to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**6\/3 + 318*i**5\/5 - 373*i**3\/3 + 1129. Find the third derivative of s(q) wrt q.\nAnswer: 120*q**2 + 7632*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -14 (b) -2 (c) 8 (d) 2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -2*t**7\/63 - t**6\/4 - 7*t**5\/12 - 95*t**4\/144 - 5*t**3\/12 + 20*t**2 + 2*t. Determine s, given that d(s) = 0.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:06 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.01 (c) 3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 9:36 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlswuwgwlnulwlwsus. Give prob of sequence lwsw.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 3:49 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**23*y*y\/y**(-1\/15)*y*y*y*y**(7\/3)*y*y*y**(1\/14)*y)**(1\/13) assuming y is positive.\nAnswer: y**(2343\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let v(p) = -8*p. Let c(w) = -23*w. Let f(l) = 6*c(l) - 17*v(l). Let z = 790 + -794. Calculate z*f(s) + 10*m(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (4 - 7 - (-13 + -2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -15. Let k(f) = -3*f + 2. Let t(d) = k(d) + s(d). Let w(i) = -11*i**2. What is t(w(u))?\nAnswer: 33*u**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4 = -677*z + 681*z, -z - 1 = -2*a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/5)\/((-3)\/15). Suppose a = 4*d - f, 5*a = 4*d + 50 - 0. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28\/13 + 42\/65. Suppose 0 = -m - 4*o + 26, -5*o + 52 = 5*m + 2*o. Which is smaller: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 3*s**2 + 3*s + 3. Let k be l(-3). Sort 3, -1, k, -7 in decreasing order.\nAnswer: 3, -1, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2523354*u**5 + 6*u**3 - 4*u**2 - u - 1120084 wrt u?\nAnswer: -151401240*u**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24141390 divided by -44215?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360085103 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 842 + 182 + 2*j**2 + 137 - 70 + 89 to m*j + t + k*j**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -694269*q**4 + 249936842*q**3 - 29992421520*q**2 + 1199696918400*q - 3456000.\nAnswer: -(q - 120)**3*(694269*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**5\/5 + 52*h**4\/5 + 324*h**3\/5 + 124*h**2 + 496*h\/5 + 144\/5 = 0. Calculate h.\nAnswer: -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {p: 5, l: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {t: 6, o: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 10\/73471?\nAnswer: 10\/73471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) + ((-111)\/9 - -1). What is the common denominator of -43\/13 and ((-36)\/(-144))\/(r*2\/(-40))?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhnmikn. What is prob of sequence hn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.1 (c) -4 (d) 1 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 + (-24)\/15. Let o = -6 + 8. Let v(y) = -y + 1. Let c be v(o). Put p, c, 3\/4 in increasing order.\nAnswer: p, c, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1165\/3 - -389. What is the nearest to -1\/2 in q, -4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -166*m**5 - m**3 + 5*m**2 + 5*m + 1. Let l(n) = n**5 - n**3 - 2*n**2 + 1. Let f(d) = l(d) - x(d). What is the third derivative of f(z) wrt z?\nAnswer: 10020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*d - 40 = 0, 0 = -4*m - 2854*d + 2853*d - 38 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 2255610?\nAnswer: 2255603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 0. Let s be 4\/(-26) + 148\/(-52). Let t be s*(32\/(-6))\/(-4). Are d and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9546*m + 28353*m - 9493*m - 9482*m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 11*m**2 - 8*m - 2*m. Let v(q) = q**2 - q. Let x = -23 + 41. Let z(w) = x*v(w) - 2*n(w). What is z(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/4293 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 232 = -q, -t + 0*t - 38 = 4*q. Let g = t - -65. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(9\/(-27))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:59 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -0.958 (c) 3934\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/46 (b) 0.5 (c) 211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3333 = 177. What are the prime factors of l?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 33*a - 18. Let l be t(2). Let o(m) = m**3 + 8*m**2 + 5*m - 2. Let w be o(-5). What is the highest common factor of l and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsdccyd. What is prob of sequence sydd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-4\/11))\/v)\/v*v*v*v**(-13) assuming v is positive.\nAnswer: v**(-128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-3))\/(2260\/(-270) - -8). Find u such that f*u**2 - 2*u**3 - 4\/5 + 2*u - 14\/5*u**4 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1577*m - 52899 = 3873 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -7\/2*t**2 + 15 + 0*t**3 + 0*t + 5\/2*t**4. Let l = 0 - 4. Let a(g) = 3*g**3 - 2*g. Give l*j(q) + 14*a(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, -0.11, 106, -1\/3, 0.4 in descending order.\nAnswer: 106, 1, 0.4, 0.2, -0.11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w + 2. Let l be g(-2). Let j(y) = y**3 + 10*y**2 + 11*y - 3. Calculate the remainder when j(l) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764070 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 2798873 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1215*w**3 + 781 wrt w.\nAnswer: 3645*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.084531*-1.2.\nAnswer: -0.1014372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -292589 times 4?\nAnswer: -1170356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 665*f**2 - 4618*f - 7896 = 0 for f.\nAnswer: -658, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 4. Suppose -c + 0*c + 27 = -2*d, -2*d = -3*c + 65. What is the remainder when c is divided by v(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(9\/2) + 63517\/(-342). Let g = 27087\/146 + k. Is g greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -1.3.\nAnswer: 1.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 - 7*z + 6. Let u be a(6). Suppose 0 = 3*s - 5*j - 58, -4*j - 90 = -5*s + j. Calculate the highest common divisor of s and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193201?\nAnswer: 193201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*x + 310 + 315 - 629.\nAnswer: 117*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)*a*a**(-2\/7)\/a*a)\/(a**7*a**13) assuming a is positive.\nAnswer: a**(-191\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30717 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -2 (b) 16 (c) 0.4 (d) 566\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 4 (c) -0.22 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22819\/2 less than -11410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfkkkjkkkjjjjfkjkkkk. What is prob of picking 1 k and 1 j?\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a. Let n(w) be the first derivative of -7*w**2\/2 - 1. Suppose 0*m + 2*m = 6. Let x(c) = m*n(c) + 5*o(c). Let d(g) = -g. Give d(x(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (7 + (-12 - -12) - -31) - -11\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f**2 - 12. Let y = 68 + -85. Let r = y - -16. Let l be r\/((-2)\/4) - 2. What is k(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.5 * -62.\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 - (2 - 6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = s + 36, 5*s - 2*s - 22 = -k. Suppose 4*x - 2*x - k = 0. What is the second derivative of -2*u**x + 6*u**3 - 5*u + 4*u**5 - 6*u**3 wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = 27. Suppose -p*v + 2*v = -12. Let d(y) = 2 + y**v - y**2 - y + 0*y - 3*y**2. Give d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 626, 0.2, 534, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**4 - a**3 - a**2 + a + 1. Let m(l) = -4*l**4 + 4*l**3 + 4*l**2 - 4*l - 3. Let k = 5 - 2. Let z(r) = k*h(r) + m(r). Let z(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.7? (a) 4 (b) -4 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*q + 2 = -4, -3*t = -4*q - 3. Let m be (t\/9)\/((-4)\/(-36)). What is the remainder when 7 is divided by 1*2*(-3)\/m - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 13.\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 3341108*y - 6682232.\nAnswer: 4*(y - 2)*(y + 835279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*v - 10, 0 = 2*s - 5*v - 49 + 26. Which is the nearest to -53? (a) -0.4 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33525 - 71?\nAnswer: -33616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 8*q + 18. Let a(i) = -5*i - 4. Let j be a(-3). Is l(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 1378 + 21253*b**3 + 202*b - 1483 - 88*b**2 - 21263*b**3 + b**4 = 0.\nAnswer: -7, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**5 + 6277*r**2 + 24631*r?\nAnswer: -20*r**3 + 12554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71584 and 2585972?\nAnswer: 20687776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 10*i**2 + 3594*i - 1232. Give r(65).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.069 * 3\nAnswer: 0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Let h(l) = -l**3 + 12*l**2 + 6*l - 72. Let r be h(12). Solve s = -5*n - r*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61516040 divided by 15379010\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -132, -264, -468, -768, -1188?\n\"Answer: -4*n**3 - 56*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3895*z**3 - 32486*z**3 - 14156*z**3 - 969*z**3.\nAnswer: -51506*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = -4*h, 0 = 2*h + c - 15 + 1. Let o = -3.02 + 0.02. Let x = o - -3.1. Put x, h, -0.5 in descending order.\nAnswer: h, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -73\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000059508833 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 472, 967, 1512, 2131, 2848, 3687, 4672, 5827?\n\"Answer: 4*j**3 + j**2 + 464*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/5 + 1704*c**2\/5 - 306999*c\/5 + 16968798\/5 = 0. What is c?\nAnswer: 106, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.042 - -2.059. What is f rounded to one dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/3*6\/6. Suppose -r*d - y = -6*y - 60, 4*y = d - 3. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2386, 2918, 3804, 5044, 6638, 8586, 10888?\nAnswer: 13544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 475 + 1171 = 0. Let z = h - 32. What is the highest common factor of 308 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (45200\/(-300))\/(1\/(-3))?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 899 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y. Let u = 14 - 7. Let p be 4\/(-6) + 24\/9. Let q(b) = 7 - u + p*b. Give o(q(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10781712 is divided by 68?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9176 - -9181. Solve -2*c + 20 + 0 = -b*n, -4*n = c + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2692239\/30716 + -2455\/28. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 16. Let v = y - 2. Which is the second smallest value? (a) v (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2057828 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 118040?\nAnswer: 118043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20200 less than -0.3?\nAnswer: 20199.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35659607, 35659613, 35659629, 35659661, 35659715, 35659797, 35659913, 35660069?\n\"Answer: l**3 - l**2 + 2*l + 35659605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2880 and 54048?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 2*p + 6*p + (p + p + 0*p)*(4 - 2 + 2) + p - 2*p + 5*p as g*p + c and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 12*s + 23*s - 13*s)*(3*s**3 - 5*s**3 + 3*s**3 - 38*s) to t*s**3 + y + p*s**4 + h*s + z*s**2 and give h.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1323)\/105 - (-35)\/(-350)*-3*2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**8\/1680 + k**4\/12 - 2*k**3\/3 + 1. Let y(g) be the third derivative of d(g). Differentiate y(o) wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14589.\nAnswer: 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 (base 6) in base 2?\nAnswer: -10011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) -72825 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19025 + 19028. Which is the closest to -0.05? (a) 742 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 52*a. Suppose -4*n - 199 - 158 = -3*t, -2*t + 5*n + 238 = a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18289553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjjjf. Give prob of sequence jff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1 - 5*b - 2 + 2 - 2*b. Let k be u(-4). Let i = 2 + k. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45.39 and 118.61.\nAnswer: -5383.7079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 3:22 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46704525 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 41. Suppose 3*l - 194 + z = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382182497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - x**2 - 1. Let p(l) = 9*l**3 - 5*l**2 + 8*l - 13. Give -p(m) + 5*r(m).\nAnswer: m**3 - 8*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5257800 to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x = 0. Suppose 2*v + 3 = d, 2*d + 5*v - 3*v = x. Which is greater: d or -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**6\/135 + 19*s**5\/54 - 46*s**4\/9 - 16*s**3\/3 + 3*s**2 + 106*s. What is y in w(y) = 0?\nAnswer: -1\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8960 - -8782.29. Round m to the nearest integer.\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 - 4*r**5 + 16*r**5 + (-11*r**2 + 2*r**2 - 6*r + 1 + 7*r**2)*(3*r**2 + 6 - 6)*(0*r - 4*r + 2*r).\nAnswer: 24*r**5 + 36*r**4 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4 - 508248*y**3 - 21524302656*y**2 + 172226950656*y = 0.\nAnswer: -84712, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1509 + 1554. What is the least common multiple of f and 81?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:17 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 220*r**4 - 62*r wrt r?\nAnswer: 2640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 1. Let p(j) = -1 - 12*j - 6*j + 31*j - 14*j. Let d(n) = -11*n - 2. Let g(o) = 3*o + 1. Let a(f) = d(f) + 4*g(f). Calculate t*a(s) + 3*p(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 12*d - 23. Calculate i(-11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-15)\/12 + 1). Suppose -f + 0*n + g*n = 0, -2*f = n. Let p(t) = t**3 - t**2 + 2. What are the prime factors of p(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -60?\nAnswer: -23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 9\/((-18)\/(-4)). Suppose -75*x + 82*x - 56 = s. Solve -4 = 4*v + x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1305 + 1253. Sort -5, 1, -2\/9, i in descending order.\nAnswer: 1, -2\/9, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*o - 25, -o + 3*x - 5 = 2*x. Suppose 9*a + 7*a - 48 = o. Solve -w - 16 = 3*m, 0 = -4*m + 2*w - a*w - 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 341*p - 110. Let j(k) = -19*k + 6. Let g(i) = -110*j(i) - 6*z(i). Let l(s) be the second derivative of -s**4\/6 + 3*s. Determine g(l(n)).\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8391 - 8371. Which is the third smallest value? (a) i (b) -2 (c) 1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 96 + 18. Let c = u - -40. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 629 - 238. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:25 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5))**(-1\/24))**(-1\/19) assuming z is positive.\nAnswer: z**(-5\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 5*t + 7*t - 8*t**2 - t**3 + 5. Let h be y(-5). Which is the nearest to 1? (a) h (b) -12 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -g - 2, 5*d - 13*g + 16*g = 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 217 = 239. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485.5673 nanometers to meters.\nAnswer: 0.0000004855673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = q + 24, 2*q = 5*i - 0*q + 30. Let v be 6\/(-10)*4\/i. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let r(l) = -23400302*l**2. What is r(w(p))?\nAnswer: -23400302*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2 - 41*x - 5 to the form z*x + c and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Suppose 13*i - 427 - 67 = 0. Let y(l) = -5*l**2 - 10*l**2 + i*l**2 - 11*l**2. Calculate y(m(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 146.2 bigger than -14407\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20388*a**4 - a**2*o + 4*a**2 + 30*a*o - 35*a + 3*o + 9 wrt a?\nAnswer: 244656*a**2 - 2*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2*2)\/((-12)\/8). Which is the nearest to -12? (a) n (b) 0 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 93. Let k = -19 - v. Suppose 0 = -0*i + 2*i - k. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-42291)\/3990 + -3. Let f = q + 317\/38. Let u = f + 22\/5. What is the biggest value in u, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, p: 5, q: 2}. What is prob of sequence qp?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/(-21))\/((-7)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66302 - -31913. What is the ten thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2480756, 2480757, 2480758, 2480759, 2480760, 2480761?\nAnswer: 2480762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1813*v**2*x**2 - 400*v**2 wrt x.\nAnswer: -3626*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7146779410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.42885 + -0.451. Let f = a + 0.021. Round f to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679406842 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, -34, -46, -58, -70, -82?\n\"Answer: -12*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8486 - -34723. Suppose 0 = 4*i - s - 320791. Round i to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01107843 to 4 dps.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -460863 - -2?\nAnswer: -460861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 2. Let a = 65 - 45. Let q(x) = -x + 25. Calculate the remainder when i is divided by q(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2*w**3\/3 + 9. Let s(q) be the third derivative of -q**4\/4 + 3*q**2. What is r(s(f))?\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -85 (b) 50 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241051?\nAnswer: 3, 23, 32479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 222 + -216. Solve d*t + 0*t + 18 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244 and 3904.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101338 rounded to four decimal places?\nAnswer: -0.1013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-6)\/(-3) - 3). Let o be (3\/(-66))\/(h\/(-8)). Let q be (-20)\/8 - (-38)\/12. Which is the nearest to 0? (a) q (b) 4\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216234 and 1476?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -117*(-2 + (-15)\/9). Suppose 544 = q*n - 428*n. What is the highest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*p + 40 - 6, -3*p + 3 = 0. Suppose d*s + 346 - 1276 = 0. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2212 + -2215. Let y = 1 + -6. Let v be (2 - w)\/(y\/5). Let b(u) = u**3 + 5*u**2 - 5. Calculate b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(2*(-5)\/(-60)). Solve 6*j + h = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 4*w**2 + 3. Let o be p(4). Suppose 0 = 4*n + 4*r - 12, 3*r - 4*r = o*n - 9. Which is the nearest to n? (a) 2 (b) -0.3 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzf when three letters picked without replacement from ffz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/(n\/(n*n\/(n**(-1\/3)\/n)))*(n**1\/n)\/(n\/n**(-3\/8))*((n\/(n\/n**(-1)))**(2\/57))**(-46) assuming n is positive.\nAnswer: n**(-217\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 9191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r + 4 = 0. Let f be (-2)\/(-10) + r\/(-5). Suppose f = -a - 5*l - 0 + 9, a = -4*l + 8. Are a and 4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001110 - -10?\nAnswer: 101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560585.\nAnswer: 3, 5, 13, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5932745 and 122395?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/12 - -9 - (-27 + 14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/14 + 460724\/(-45584).\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.16, 7\/3, -0.2, -57, -4\/11, 7, 0.5?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 25*h + 72. What is d(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -47343 - 1.941935\nAnswer: -47344.941935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(1482\/(-2795))*12\/10.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -9. Let n be ((-11)\/2)\/(-2*5\/200). Suppose 0 = -4*f + 118 - n. Which is greater: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/9 - 338*t**4\/9 - 15488*t**3\/9 - 71680*t**2\/3 = 0?\nAnswer: -105, -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15423)\/14266275)\/(2\/(-500)).\nAnswer: 10\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -117, -116, -115?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/30 + 10752\/(-2880)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(252)\/(4*sqrt(9)) - (3 + sqrt(7) + 0 - (sqrt(343) + (sqrt(343)*1 - sqrt(343)) - sqrt(343)))))**2.\nAnswer: 12*sqrt(7) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1062\/7 + -148. Let y = 135\/4 + -50. Calculate the common denominator of k and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a micrometer in nanometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003146659909 rounded to 7 decimal places?\nAnswer: 0.0000315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 1089 - 291 = 0. List the prime factors of i.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + (sqrt(208) - (-4 + sqrt(208))) + sqrt(208))**2)*1 - (sqrt(52)\/(-3*sqrt(4))*6)**2.\nAnswer: -393 - 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/11 and -14\/1473.\nAnswer: 16203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - a = j - 1, 5*a - 2 = -4*j. Let c(z) = -4*z - 6*z + 8*z - z - z**2 + j. Calculate c(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 = f, -5*f = -3*b - 22 + 3. Solve b = -3*y + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*b - 2690 = 0, -5*u + 14*b - 11*b = -13562. Calculate the remainder when u is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -535 - -3744\/7. Put z, -6\/5, 1\/2, -1.1 in increasing order.\nAnswer: -6\/5, -1.1, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 382860 and 3060.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 3:57 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810.415833 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -17488 + 200*o**2 + 17488 as p + s*o + i*o**2 and give i.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11203220341 - 0?\nAnswer: -11203220341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - t)*(7 - 7 - 3*t) + 34*t**2 + 13*t**2 - 21*t**2 - t**2 + 5*t**2 - 2*t**2 + 2*t.\nAnswer: 25*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1279*q - 609*q - 116*q)*(-2 - 2*q + 2) to m + p*q**2 + o*q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.55, -4, -44 in increasing order.\nAnswer: -44, -4.55, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 1\/8, 2910.4, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5734690 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b + 1307. Let q(r) = -26*r + 3889. Determine -7*j(x) + 2*q(x).\nAnswer: 4*x - 1371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10022.8413 to the nearest one hundred.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24992599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Suppose -d*j - 2*j + 25 = 0. What is the second derivative of -j*s - 2*s**5 + 2*s + 2*s wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 7*t**2 + 7*t - 6. Let p be 32\/6*6\/(-4). Calculate j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360465538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -92, -172, -290, -458?\n\"Answer: -2*g**3 - g**2 - 37*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283516.\nAnswer: 2, 13, 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -8. Suppose 0 = 3*f + 5*x - 47, i*x - 73 = -5*f - 0*x. What is the remainder when 40 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -9. Let p be 8\/72*6*(-18)\/4. Put p, d, 0 in decreasing order.\nAnswer: d, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 + 0 = 0. Let c be (-553)\/(-14) + f\/(-4). Suppose 3*l = l + c. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -1.1. Let r = -14491\/45 + 322. Let d = r + -43\/90. Which is the second smallest value? (a) s (b) 22 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -492*j**2 - 3*j - 11. Let d(i) = 247*i**2 + i + 6. Give 7*d(z) + 4*l(z).\nAnswer: -239*z**2 - 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-18)\/(-9))*(-42)\/(-9).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**3*f**3 + 2*d**3*f**2 - 32*d**3*f*n - 5*d*f**3*n - d*f**2 + 3*f**3*n wrt f.\nAnswer: 24*d**3 - 30*d*n + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 16*o + 330 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24460, -48935, -73410, -97885, -122360?\nAnswer: -146835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 52756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 5*c + 6. Let f be h(5). Suppose -4*t = -t + 6. Is 80\/6 + t\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = -3. Let q(h) = 2*h**2 + 1. Let j(v) = -13*v**2 - 2. Let o(m) = r*j(m) - 2*q(m). Let i(a) = -5*a**2. Calculate o(i(w)).\nAnswer: 225*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -3*d**2 + 8\/3*d**3 - 1 + 39*d. Let m(c) = -17*c + 7. Determine -7*a(r) - 6*m(r).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5 - 2 + 4 - 3 + (3 - 2 - 2)*(-3 - 3 + 5))*(-28*x + 56*x + x).\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -271*c**3 + 896*c + 239*c**4 + 2997*c - 235*c**4 wrt c.\nAnswer: 48*c**2 - 1626*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1676 - -1756. Calculate the highest common factor of w and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1602, -6258, -14038, -24942, -38970, -56122?\n\"Answer: -1562*s**2 + 30*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -11, -20, -33, -50, -71, -96?\n\"Answer: -2*o**2 + o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17395.4 + 17395. Which is the nearest to 1\/110? (a) -9 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v - 1834 = 3866. Calculate the remainder when 109 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -3*y**5\/20 + y**4\/24 + y**3\/3 + 5*y. Let m(i) be the second derivative of p(i). What is the units digit of m(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65 + -1*(-6 - -4). Let h = 71 - v. Suppose 3 = f + 4*s - 2, 4*s = h*f. Which is the nearest to f? (a) 7\/3 (b) 1\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 39*b - b**2 + 10 - 87*b + 36*b. Let u be s(-6). Suppose 4*x - u - 162 = 0. Is 52 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 3, w: 6, g: 1}. What is prob of sequence grw?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*k**4 + 33 - 33 + 2*k**4 + 0*k + 0*k + (k**2 - 2*k**2 + 3*k**2)*(k**2 - 5*k**2 + 2*k**2))*(-1 + 3 - 1).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.406266 milligrams?\nAnswer: 0.000000004406266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 4*n - 6. Let g be t(-5). Let a be (-88)\/28 + (20\/35)\/4. What is the units digit of ((-16)\/a)\/(g\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*h - 11 = 0, 3*v - 9 = 3*h - 30 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 54. Solve -1 + 7 = -w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 221*o**2 + 1 - 4*o - 371*o**2 + 0*o**3 - 3*o**3 + 237*o**2 to the form i*o**2 + f + v*o + n*o**3 and give i.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:32 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -49. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 902540.6 kilometers?\nAnswer: 90254060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64555, -129111, -193667, -258223, -322779?\nAnswer: -387335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34502 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + f - 414, 3*f - 830 = q - 3*q. Let j = q - 265. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.0494*-0.2\nAnswer: 4.60988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3999593 (base 10) to base 4.\nAnswer: -33100131221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8713407 centuries?\nAnswer: 0.08713407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = -5*h - 2*k + 505 - 246, 0 = 3*h - 5*k + 2 + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i**3 - 11 + 11)*(364*i + 6*i**2 - 401*i - 3*i**2).\nAnswer: 45*i**5 - 555*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 1628 = -28. What is the smallest common multiple of (-4)\/((2 - (-74)\/(-36))*3) and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33240 divided by 831\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssshsshsssss. What is prob of picking 1 s and 1 h?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -8\/5*g - 49\/10*g**4 + 24\/5*g**2 - 14\/5*g**3 + 6. Determine c, given that l(c) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2284 is divided by 1655.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 2. Let o be z(10). Let w = o + 916\/9. Which is the third smallest value? (a) 5 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454963687 is divided by 10907.\nAnswer: 10903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55.27 - 55. Let k = 0.07 - c. Does k = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -h - 25 - 23, 2*z - 2*h = 30. Let w = 15 - z. Solve 6 = -w*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323 + 322 + 308 + 312 - 1243 - i.\nAnswer: -i + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-36))\/(2\/(-18)). Let h be (0\/m)\/(-4 - -2). Determine i, given that 2\/9*i**3 + 0 - 2\/9*i**5 - 2\/9*i**2 + 2\/9*i**4 + h*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + v - 4. Let s be h(0). Let y(r) = -19*r + 2. Let k be y(s). Suppose w = -w + k. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -6. Suppose -9 = -n - c. Solve 0*u - n = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + -5 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 5*n - 4*s + 301 = 0, 2*s + 124 = -2*n. Let t = -54 - n. What is the highest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + h. Let a be j(1). Suppose -a*r - 4*n = -8 - 19, r = 3*n + 13. Calculate 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 y(n) = 209*n + 5844. What is y(-2)?\nAnswer: 5426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) -0.079 (c) 0 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7414 by -7414.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.00085 - -56. What is z rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, a: 4, y: 1}. What is prob of picking 1 y and 1 b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -9, 0 in ascending order.\nAnswer: -9, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 608 and 5016?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -56163 divided by -57?\nAnswer: 18721\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f - 25. Let h be s(7). Suppose -2 = -h*j - 2*p, 4*j + 3*p = 2*j - 7. Suppose j = 79*x - 75*x. Solve 2*l = -3*c + x, 3*c + 27 = 3*l - c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -13. Suppose 3*v + 0*v = -12. Let t = v + 7\/2. Which is the second biggest value? (a) p (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -205\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.83 - 0.17. Let k = 19 + d. What is the nearest to 0.2 in -0.2, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*u - o, 3*u = o - 0*o + 47. Solve u*c - 3*c = 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-344)\/(-20))\/((-7)\/(-55 - -90))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - q - 725795 + 4*q.\nAnswer: 3*q - 725795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + -3 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*d - 331*d - 157*d to the form n*d + a and give n.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60060 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457404263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67\/40 + 45\/8. Let p = 10\/709 - -115267\/21270. What is the common denominator of p and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 + -210. Suppose 2 + 2 = n. Sort 5, n, x in descending order.\nAnswer: 5, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -194*h + 266. Let d(b) = 194*b - 266. Let f(o) = 3*d(o) + 2*i(o). What is the first derivative of f(m) wrt m?\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9636 + 47953\/5. Let f = x + 45. What is the third biggest value in f, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 322682.3 centimeters?\nAnswer: 3.226823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 205, 404, 603, 802, 1001?\n\"Answer: 199*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252565898?\nAnswer: 2, 13, 19, 23, 22229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153030 and 12?\nAnswer: 306060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/2)\/(g*g**(-3)))**(-4\/3) assuming g is positive.\nAnswer: g**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -42, -102, -196, -330?\n\"Answer: -s**3 - 8*s**2 - s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-43825.\nAnswer: 4382.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 (base 5) in base 6?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-9 - -28 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*n = -0*n - 62, -2*q = -2*n - 164. Let h be ((-3)\/(-6))\/(((-1)\/(-20))\/(-1)). Let z = h - -23. Calculate the remainder when q is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 5 = p + 3*w, -3*p + 172 = w. Let j = -23 - -28. Calculate the remainder when p is divided by (70\/(-4))\/j*-6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14957 or 14959?\nAnswer: 14959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112115116 - 4?\nAnswer: -112115123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - 85.1. Let o = -11 - -7. What is the biggest value in h, -2, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i)\/((i\/i**5)\/i))**(2\/65) assuming i is positive.\nAnswer: i**(2\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/((-3160)\/4977))\/(2\/(-8)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 19*l + 78. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10026, -10034, -10054, -10092, -10154, -10246, -10374?\n\"Answer: -k**3 - k - 10024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448 by -224.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/20 - (-24)\/10. Suppose k*h = -3*h + 2*z + 1679, -2*h - 3*z + 664 = 0. What are the prime factors of h?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -51\/11*x**2 + 1\/11*x**3 + 867\/11*x - 4913\/11 = 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 4, -5 in decreasing order.\nAnswer: 4, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -166181, 3 in decreasing order.\nAnswer: 6, 3, -166181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -155*o + 45. Let s(m) = -7*m + 2. Let c(w) = 4*q(w) - 90*s(w). Let j(f) = 2*f. Give c(j(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**3 + 0 + 15*m**2 - 14*m**2 + 23*m**3 + 0.\nAnswer: 10*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60239 and 34.21?\nAnswer: 2060776.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Let f(s) = -3*s**2 + 9608. Give l(f(b)).\nAnswer: 9*b**4 - 57648*b**2 + 92313664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19864270*c + 61516684*c - 17780163*c + 86222086*c.\nAnswer: 110094337*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1338 + -1318. Solve 0 = -b + 4*m + c, -m = 3*b + 1 + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 2:50 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 less than -69\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.019426 and -0.1401.\nAnswer: 0.0027215826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 + 18 - 22 = -d + 5*g, 76 = d - 4*g - 2*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*d = -z - 6478, 4*z = -2*d + 12988. Suppose 0 = 17*m - 393 - z. List the prime factors of m.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 35?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 81.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 3*o - 4. Let g be y(1). Let b be (-3)\/g - 3\/4. Solve b = p - 5*p + 20, -5*k - 5 = 3*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 - 3271*l + 3525*l + 98 to n + g*l and give g.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1960 and 13\/800380.\nAnswer: 11205320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Let a be -9*(-3)\/((-36)\/(-8)). Let p(j) = -a*j**2 + 7*j + 4*j**2 - 2*j + j. Determine p(r(v)).\nAnswer: -2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e64 - 8b?\nAnswer: 2dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5268 - -5268.00004246. What is y rounded to 6 dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44552662 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14877 (base 12) to base 5\nAnswer: -1411031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*y - 1580, 63 = x - 2*y - 327. Suppose -8*q + x = 14. Calculate the remainder when 172 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-183)\/12)\/(7\/(-84))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 = 4*r, -2*r - 11 = -5*w + 3. Let h be (3 + -6)*r\/6*16. Let s(t) = 2*t**2 - 3*t + 3. Let u(x) = 10*x**2 - 16*x + 16. What is h*s(i) - 3*u(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -20*p - 3. Let n(y) = -7*y - 1. Let d(t) = -6*j(t) + 17*n(t). Let i be 3 - 4*1\/4. What is the smallest common multiple of 11 and d(i)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 749875 and 875.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*a**6*v**2 - 42469*a**3*v**3 + 7*a**2*v**2 - 11*a*v**3 + a*v - 12*a - 3*v**3 - 135*v wrt a.\nAnswer: 5280*a**3*v**2 - 254814*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 18. Let l(d) = -d**2 + 12*d - 8. List the prime factors of l(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -21*r + 12*r + 10*r - 1188002. Let a be z(0). Let h be 0 + a\/(-9) - (-10)\/(-45). Round h to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 19451 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0\/f)\/f)**(-1\/17)*(f**(1\/3))**(-1\/37)*(f\/(f\/(f**1*f)))**(-20)*(f*f**(-2\/5))**(-1\/2) assuming f is positive.\nAnswer: f**(-759521\/18870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.2 (b) -0.3 (c) 514 (d) 1255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (9\/54)\/(3\/(-6))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugguuugguuuug. What is prob of sequence uug?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k + 29*k - 66*k = 12528. Is k a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) 3.44 (b) 2\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*d**2 + 3 - 128*d**2 - 28*d - 2*d**3 - 5 as k + r*d + j*d**3 + l*d**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d - 20. Let b be t(-6). Suppose 20 = -k - 4*k. Put 1, b, k in decreasing order.\nAnswer: 1, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.31\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 19*x + 136. Let f be i(-8). Does 11 divide 44*50\/f*(-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204 - 201. Suppose -5*l + 15 = -l - 3*r, -2*r - 10 = 0. Which is the nearest to -1? (a) 0.5 (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -636?\nAnswer: -63d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 69 = 21. Let a be -1 + 1 + -2 + 4. Suppose 3*n + 5*t = 70, -n + a*t = -2*n + 22. Calculate the greatest common factor of j and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43205, -43195, -43179, -43157, -43129?\n\"Answer: 3*s**2 + s - 43209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**5\/90 - x**3\/9 - x**2\/2 + 3. Let d(q) be the second derivative of v(q). Determine k, given that d(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 = 9*c + 17. Is -36 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/32 - (-3)\/24 - 73. Is (314\/(-3))\/(48\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62 - -43?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14332 and -0.7837.\nAnswer: 11231.9884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from {u: 5, b: 5, w: 2, g: 2, f: 2, y: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43477 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272458 is divided by 90819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 142ad07 + 1?\nAnswer: 142ad08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/1400*420*1\/(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 37 = 3*p - 10, 2*t - 14 = p. Suppose 0*o - 15 = 3*o. Let w = -4 - o. Solve t = -4*x + w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720575?\nAnswer: 5, 19, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22883 times -0.09?\nAnswer: 2059.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u + 15. Let o be v(7). Suppose o = 5*p - 6*p. What are the prime factors of (19 - p) + 5 + -7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from ttmfl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -628442 times 1193?\nAnswer: -749731306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*6\/2*-1. Suppose -a*p + 3*o + 30 = 0, -3*p + 36 = 3*o - 0*o. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15380 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.0271669?\nAnswer: -0.0815007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3\/3 + 5*l**2\/2 + 9*l + 2. Let s = 1304 - 1306. Let h be y(s). Solve 0 = h*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*93\/2480*(-2)\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**2 + 936*s - 2844 = 0.\nAnswer: -237, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 131*r - 5*r = 149*r - 14535 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*p + 6 + 58, 6 = -g + 3*p. Which is bigger: -65\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38037\/7 - 5444. Put 4, -0.5, i in decreasing order.\nAnswer: 4, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - -2)\/10 - (-19)\/(-14). Let a = -1 - -3. What is the closest to -1 in z, 3, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -20)\/((-2)\/(-10)). Let r = -183 + c. Let d = -44 - r. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46941 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5580 divided by 3\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3745 and -1.\nAnswer: 3745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -4*j + 5*a, -2*a - 2*a = -12. What is the units digit of j\/2 - (-6 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -5. Suppose z*t = 4*t - 16, 12 = 4*b + 3*t. Let s be 2 - 600004\/(b - -2). What is s rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(6*((-56)\/392)\/((-6)\/7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-10))\/((-21483)\/(-175770)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1030, 3395, 7338, 12859, 19958, 28635, 38890?\n\"Answer: 789*j**2 - 2*j + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2526545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421 + -411. Let v be s\/18 + 12\/(-36). What is the fourth biggest value in -0.4, -2\/7, 1\/6, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -55 (b) -3\/2 (c) 4261 (d) 0 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38439, 38390, 38351, 38328, 38327?\n\"Answer: m**3 - m**2 - 53*m + 38492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - 51. Let n be (-10)\/(-40) + (-2)\/(y\/(-31)). Let z be (-16 - -26) + 1\/2*2. Is z greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 3. Suppose 2*b - s = 10, -4*s + 5 = b + s. Suppose 1 = 2*v - b. Let n be k(v). Solve n = -5*h + 3*h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38692 + -194057\/5. Let l = 120 + u. Determine c so that 3*c**3 - l*c - 12\/5*c**2 + 0 = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317*-5.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2. Let c = -150 - -152. Let y(x) = x**2 - 33*x - 5*x - 3*x**c + 7*x. Calculate h(y(d)).\nAnswer: 12*d**4 + 372*d**3 + 2883*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*i - 0*i - 7, x - 5 = -i. Let w be 10\/(-12)*x\/2. Let h = -14\/65 - -1\/65. Which is the second smallest value? (a) w (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 459384 by -4.\nAnswer: -114846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0569 + -0.5431. Let z = -1.3 - -0.3. Put z, 0.3, w in ascending order.\nAnswer: z, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r + 529 = -372 - 179 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/15195 and -31\/57.\nAnswer: 288705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:50 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002101011 + -211?\nAnswer: 2002100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.505 + 0.5055348. Round g to 5 decimal places.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 5*p**2 + 2*p - 9. Is h(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28330 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/5)\/f**(-6)*f*f**0*(f*f**(-5)\/f)\/f assuming f is positive.\nAnswer: f**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8771 and 4833.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -186*b + 1306. Let k be i(7). What is the closest to 4 in -3, 0.3, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 10392 = 4*j, 5*p - 10*p + 12966 = j. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 + 6*l - 11. Let j be s(-7). Let y be -1119 - 12\/(-4)*1. What is the units digit of j\/7 + y\/(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) -2\/15 (c) 0.07 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*s - 29 = 1, 0 = -2*d + 2*s - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 - 71. Let z = c - 137. Solve 0 = 3*v + 5 + z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 9)*((-2240)\/(-375) + -6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -4\/5, 3\/5, -1\/17, 1\/203?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(((c\/(c*c**(-2)*c))\/c)\/c)))\/c)**(-2\/23) assuming c is positive.\nAnswer: c**(4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 26 = -4*x, 3*d = -x + 2*d + 9. Let b = 10 - 4. Suppose 0 = 2*a - 32 + b. What is the remainder when a is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/245 and 2\/21.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8728, -17453, -26178, -34903, -43628?\n\"Answer: -8725*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 7*h - 1568*h**3 + 8064*h**3.\nAnswer: 6496*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 3532532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77, -72, -55, -20, 39, 128, 253, 420?\n\"Answer: i**3 - 2*i - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 7 = -4*q + q, -2*q = -2*r + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*p**2 + 21*p**2 - 27*p**2)*((2 + 5 - 1)*(7 - 13 - 6)*(4*p + 4*p**2 - 4*p) + 0*p**2 + 5*p**2 - 4*p**2).\nAnswer: 11767*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:20 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190) - -6*(sqrt(190) - (sqrt(190) + -3*sqrt(190)))))\/(sqrt(80)\/(sqrt(32)\/sqrt(4))).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -42, 8, -4, 7, 6, -1 in descending order.\nAnswer: 8, 7, 6, -1, -4, -33, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*p - 14, -4323*j = -5*p - 4319*j - 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113.8655 - -114. Let l = b + -0.13. What is l rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -317 - -4123\/13. Let b be (202\/(-68) + 3)*-16. Let d = 20\/187 + b. Sort 0.3, d, w in increasing order.\nAnswer: d, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2092 and -71\/3.\nAnswer: 6276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127957, 127953, 127949, 127945?\nAnswer: 127941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 231, 346, 461, 576, 691?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2510408\/49525533 + -2\/289623. Calculate the common denominator of t and -37\/5928.\nAnswer: 53352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j**3*u**2 + 2132*j**3 - 18*j**2*u - 70*j*u**2 - 71*j*u - 10*j + 1 wrt j.\nAnswer: 48*j*u**2 + 12792*j - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-19 + (7 - -9) + 3 + 8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) - (-38)\/14. Let h = -318 - -311. Which is the biggest value? (a) -4 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248985330.\nAnswer: 2, 3, 5, 11, 113, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10014?\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 + 1296.3\nAnswer: 1296.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1148\/(-35) - -32)*-1*10\/76.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020781 times 1?\nAnswer: 0.020781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3173492.\nAnswer: 2, 7, 17, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*l*m**2 + 2*l*m + 660*l + 2*m**2 wrt m.\nAnswer: 44*l*m + 2*l + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (17\/((-357)\/36))\/(-1). Let d = 537\/133 - 55\/19. Factor x*p**3 - d*p**4 + 2\/7*p + 2\/7*p**5 - 8\/7*p**2 + 0.\nAnswer: 2*p*(p - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.964562 litres to millilitres.\nAnswer: 5964.562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.659 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1250 + 1394 = 0. Suppose -433 + m = l - 4*h, 4*l = 5*h + 3556. What are the prime factors of l?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8996, -32958, -71892, -125798, -194676, -278526, -377348?\n\"Answer: -7486*l**2 - 1504*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45298098 and 2506.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.414 - -8.344. Let u = -0.07 - n. Which is greater: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10708984 equal to -10708985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210634?\nAnswer: 2, 29, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-1)\/1 + 2). Let k(b) = b**3 - b + 16. Let c be k(h). Suppose -g + c = g. Calculate the highest common divisor of g and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*u - 452*u = 1650 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3619700 = -24730*y - 355340 for y.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31423 (base 7) to base 11\nAnswer: -5914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 - 4*b**2 + 2*b + 4. Is a(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -44, -43, -8, 73, 212, 421, 712?\nAnswer: 1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15104 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44\/793 + 6\/61. Put -10, -0.3, p, 0 in decreasing order.\nAnswer: p, 0, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 14*h - 18. Let u be o(12). Which is greater: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3986, 3987, 3988?\n\"Answer: v + 3985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-539)*(-10)\/45*1953\/(-62)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 299\/5 (b) -1\/27 (c) -2\/9 (d) -2\/19 (e) -764 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12216389 is divided by 488654?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(288)*1 + sqrt(288))*-3*4.\nAnswer: 1152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -39*o - 11. Let f(i) = 6 + 12*i + i + 7*i. Let g(d) = 3*a(d) + 5*f(d). Calculate the remainder when g(-2) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.16. Let i = 6 - 6.06. Let l = i - d. Which is the closest to l? (a) 0 (b) 1\/4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o = 9. Suppose o*t - 284 = -t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 - -457 - (2 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579800537?\nAnswer: 3, 7, 107, 191, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6075 by -5.\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170) - (sqrt(170)*-2 - sqrt(170))))\/sqrt(10) + sqrt(187)\/(sqrt(11) + -2*sqrt(11) + sqrt(11) + sqrt(11)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 505\/35349?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18785, -18784, -18783?\nAnswer: -18782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10*q = 0. Suppose -5*p - 122 = -z + 407, -5*z + 20 = q. Let v = p + 111. Let g(j) = j - 12. Calculate g(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 48 = -6*f. Let m = -14 + f. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {c: 3, s: 1, a: 2, z: 1, h: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -10*d + 236. Let f = d - 48. Solve -4*q = 3*u - f, -5*u = 5*q - 3 - 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025696 rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -3*z**7\/70 - 4*z**6\/5 - 47*z**5\/10 - 5*z**4 + 25*z**3\/2 + 85*z**2. What is a in w(a) = 0?\nAnswer: -5, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-12)\/16)\/(651\/(-186))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - 27\/(-6). Suppose -h*a = -a + 12. Calculate the common denominator of 64\/3 and (a\/9)\/(7\/(-138)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m**4*p + 11*m**4 - 930*m**3*p + 2*m**2*p - 583*m**2 + 3*m*p - 3*m + 11*p + 10 wrt m.\nAnswer: -120*m*p + 264*m - 5580*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, z: 7, p: 4, u: 3, q: 2}. Give prob of sequence zzqq.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1))\/f**(1\/5)*(f**(3\/8)\/f*f)\/f**(2\/3)*f**3\/f*((f\/(f\/((f*f\/(f*f**5)*f)\/f)))\/f)\/f*((f\/f**(1\/3))\/f)\/f**(2\/5) assuming f is positive.\nAnswer: f**(-129\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + 1.4. Let l = -1 - -2. What is the closest to -2 in m, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 - 7\/(-5). Let b(t) = 3*t - 11. Let v(r) = -14*r + 50. Let x(s) = 9*b(s) + 2*v(s). Let p(g) = g**2 + 4*g - 4. What is q*p(n) + 4*x(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*t + 0 + t + 0 + (t + t - t)*(3 - 3 - 2).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 354, 355, 356, 357?\n\"Answer: c + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*l + 17. What is the highest common divisor of 187 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236820 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3822 + 3833 = 4*b, 0 = -5*b + 2*l + 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 39677?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a - 0*a. Solve a*s - s - 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -128, -206, -298, -410, -548, -718?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -19*0.01293\nAnswer: -0.24567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -355\/546 + -22\/273. Let a = -3461\/414 - -76\/23. Calculate the common denominator of a and p.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*t + 75*t - 168. Let i be 1\/4 + (-5)\/4. Sort -5, t, i.\nAnswer: -5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:48 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n + 4. Let y be g(0). Suppose -68 + 32 = -y*q. Suppose v + 32 = z + 6, -2*z + 4*v + 50 = 0. What is the greatest common factor of q and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 + 16*w - 14. Let f(z) = -20*z**2 - 45*z + 41. Let x(d) = -6*f(d) - 17*k(d). Let x(h) = 0. What is h?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(153) + sqrt(272) + 0.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73.92 + 74. Let f = -0.1028 + 0.0028. What is the nearest to f in -0.4, -1\/8, n, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and 0.08.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5.5, 2\/5, -2\/9?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458935077.\nAnswer: 3, 17, 23, 391249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 46.5. Let p = 1.1 - 1. Suppose -922*y + 22 = -933*y. Which is the nearest to p? (a) y (b) t (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18.8 (b) -1 (c) -27 (d) 2 (e) 12 (f) -4 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 1, u: 1}. What is prob of picking 1 v and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**5\/60 - 5*y**2. Let t(r) = 4*r**2 + 123*r - 3*r**2 - 123*r. What is k(t(s))?\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 9 = 5*c, 83*o - 82*o = -3*c + 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2406 - -2420. Let r = -10 + 31. What is the remainder when r is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10071*h**2 + 597 wrt h.\nAnswer: 20142*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r - 14. Give d(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4776 >= 11246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1)\/((-9)\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1111572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2 + 12. Let k = 5 + d. Let y(z) = 3*z - 4. Let l be y(k). Solve -l*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*d - 368 + 368)*(d + 0*d - 3*d)*(23*d**2 - 6*d**3 - 23*d**2).\nAnswer: -432*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3521320 by 2915.\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102.99 + 101.99. Let d = -5 - -2. What is the third smallest value in y, 3, -7, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 + 1)*(9 + 2*u - 9)*(-2*u + 3*u - 3*u).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.13 (b) 0.3 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-44)\/(-4))\/55)\/((-9)\/(-5)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63554985 to the power of 1\/2, to the nearest integer?\nAnswer: 7972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 15781 - 15805 = 2*c, -1 = c - 2*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14387 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533991799.\nAnswer: 59, 601, 43261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50901, 206021, 464557, 826509?\nAnswer: 1291877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18900.072s in minutes?\nAnswer: 315.0012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*t + 3 = 0, 3*i - 7*t = -4*t + 27. Suppose i*u = -3*d + 1464, 3*u + u + 2477 = 5*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23\/(-8) - 2\/16)*1. Let b(t) = -10*t + 4. Is 3 a factor of b(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170316)\/1660 + 560\/100.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011180 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 114513286\nAnswer: -1374159432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + 8ec2c?\nAnswer: 8ec4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -8, -735 in descending order.\nAnswer: 41, -8, -735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5965 divided by 4.\nAnswer: -5965\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12515171165 rounded to the nearest 100000?\nAnswer: 12515200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 75 and -10234?\nAnswer: 10309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33160667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6280 or -404?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.109 and -1.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/18 - -6*11\/297?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 158, 177, 204, 239, 282?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*k = 5*k + 810, -4*v - 666 = -5*k. What is the units digit of 2\/(-8) + v\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13426 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 110*o**2 + 39038*o - 4260. Determine c(-355).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 3. Let d(n) be the first derivative of -n**4\/4 - 5*n**3\/3 - n**2 + 3*n + 1. Let z be d(-4). Let w be j(z). Solve -2 = -4*m + w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 70 + 110. Suppose l - 5*g = -68, 2*l - g = -t - 82. Calculate the common denominator of 87\/4 and 1\/3 + l\/120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 9526920.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 18 = 2*x, -258*s = -256*s + 3*x + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13697633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + -6*sqrt(176))**2*5 - (2 + ((-1 + sqrt(396))*2 - (5 + sqrt(396) + 0))**2).\nAnswer: -1356*sqrt(11) + 31413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 4*s + 3. Let b be w(4). Let r = b + 4. Let a be ((-4)\/5)\/((-6)\/15). Solve 0 = y + a - r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5 + 9454*j**3 - j**2 + 79*j + 358.\nAnswer: -120*j**2 + 56724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9173 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9355638*k**3 - 17*k + 8*k + 9*k.\nAnswer: 9355638*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 347476?\nAnswer: -347472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 9}. What is prob of sequence ddd?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1154 + -652. Let i = 734 - r. Is -1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.4 + 0.4. Let h = s - -7.3. Let x = -4\/17 - -59\/34. What is the nearest to -0.2 in x, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/52615 and -99\/168368?\nAnswer: 841840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + l + 6*l**2 + 0*l**2)*(0*l**3 - 3*l**3 + l**3) - 2*l**5 + 3*l**2 - 3*l**2 + (3*l - 2*l + l)*(0*l**4 - 3*l**4 + l**4).\nAnswer: -10*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 17 and -4.5.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3985 - 1445. Suppose -26*n = -22*n - k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/23, 0.5, 90, -1\/5, 3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39319219 by 6.\nAnswer: -39319219\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 2*q**2 + 3*q + 2. Let k be i(-4). Let r be (-149)\/(-7) - (-12)\/k. Let z = r + -12. What is the smallest common multiple of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100001100101 (base 2) to base 7.\nAnswer: 24131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 10. Determine j(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4303 + -4303. Put 0.8, 0.4, 64\/9, g in decreasing order.\nAnswer: 64\/9, 0.8, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(p + 2*p - 2*p)*(1 + 1 - 3)*(3*p + 30929*p**2 + p - 31040*p**2).\nAnswer: 222*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*x - 22610 = 32830, 3*y + 2*x = -33264. Let t = 133169\/12 + y. What is the common denominator of -41\/15 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1\/(1\/(57\/3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -630*x + 629*x + w, w + 15 = 2*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1100) + sqrt(1100) + (2*sqrt(1100) - sqrt(1100)) + 2) - -5*((sqrt(1100) + sqrt(1100) + 0 + sqrt(1100))*-4 - sqrt(1100)))*-3)**2.\nAnswer: -22320*sqrt(11) + 38055636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgggwgpgzrggzgwrprrp. What is prob of picking 2 p?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182733623 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 6*n. Let p be k(-6). Suppose p*x = -3*x + 546. What is the highest common factor of x and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17839416 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 65785.4\nAnswer: 197356.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 - 6*j + 1. Let w(r) = 3*r**2 + 5*r - 1. Let m = 553 + -583. Suppose 0 = 2*t + 99 - 27. Let a = t - m. What is a*w(g) - 5*y(g)?\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -201087 (base 11) to base 13\nAnswer: -b434a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:32 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v - 708 + 108 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 69*h**8\/28 - 17*h**4\/24 - 2*h**3\/3 - 202*h**2. What is the second derivative of b(p) wrt p?\nAnswer: 16560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + a**3 + 18 - 50.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/10 + v**5\/60 - 8*v**2. Find the third derivative of a(o) wrt o.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*4)\/(sqrt(84)\/sqrt(48))*-2*6.\nAnswer: -192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/(u\/(u*u**(8\/3)*u*u)*u)))\/(u**(-12\/13)*u*u))\/(u**(-10)*u**22*u*u))**4 assuming u is positive.\nAnswer: u**(-2768\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from nniyidiydiznindnn.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 2, i: 3, t: 4}. Give prob of sequence mr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 154*f + 3 + 159*f + 4 - 303*f. Let z(g) = 5*g. What is z(y(h))?\nAnswer: 50*h + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3330, -6549, -9518, -12111, -14202?\nAnswer: -15665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 311211635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0253 plus -0.06107?\nAnswer: -0.08637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2 + (-4 - 1 + 3)*(-15 - 18 + 3))*(-838*m + 177*m + 12*m) to the form i + z*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.105 to one dp.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 33*g + 2. Let i be y(14). Suppose 7*n = 9*n - i. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 4*r**2 + 2*r + 2. Let j be u(-3). Let l = j + -5. Let g be ((-2)\/(-6))\/(1\/l). Let i(o) = -o**3 + 3*o**2 - 3*o + 2. Determine i(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*g = -4*c - 68*g + 4202, -2*c - 2*g + 2106 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 381 + -33?\nAnswer: 34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 45 = 5*r + c, -2*r = c - 18. Let p = 240 - 234. Let x be ((-14)\/p + 4)*r. Calculate the greatest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38510 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1413525 and -29\/2073170.\nAnswer: 31097550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 39. Let f = -28.6 + m. Let o = f + -0.8. Which is the third biggest value? (a) 2\/21 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -6\/1481 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5 = -h, 6*n + 13 - 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 25 = 18. Let y(d) = 3*d - 3. Let m be y(n). What is the highest common factor of 42 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) -2 (c) 677522 (d) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.33943 and 11810.\nAnswer: 11810.33943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 15) to base 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7\/((-455)\/26))\/((-2)\/(-50))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -0.5, -0.17, -4?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x - 10 + 4 + 6.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6 and (194\/25)\/((-12)\/15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4 - 276*v**3 - 7356*v**2 - 46368*v - 84672 = 0.\nAnswer: -42, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 3011850?\nAnswer: 51201450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 484680 by -17310.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4893095?\nAnswer: 5, 978619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 310*q**5 - 82*q**5 + 45*q**5 + (3*q**3 + 4*q**3 - 5*q**3)*(q - 6*q**2 + 19*q**2 + 0*q).\nAnswer: 299*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n**2 + 6*n**2. Let v(r) = -1271432*r - 1271430*r + 17 + 2542865*r. Determine b(v(a)).\nAnswer: 45*a**2 + 510*a + 1445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-5) - 4\/(-10). Let y(g) = -g**2 - 4*g + 14. Let v be y(-6). Factor 3 - 32*s**v - 5 + c*s + 13*s.\nAnswer: -2*(4*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 55.15. Let b = -0.25 - t. What is the second biggest value in -4, b, 0.12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7)\/n)\/n**0)\/(n**5*n*n**3) assuming n is positive.\nAnswer: n**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64786 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*g - 3600 = 9*g. What is the greatest common factor of 575 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 511765280*k**4 + 429174193 wrt k?\nAnswer: 2047061120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**4 + 228*y**2 + 298*y + 4.\nAnswer: -24*y**2 + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 644 = 884 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442 (base 14) in base 3?\nAnswer: 11220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**0*g**1*(g\/(g*(g\/(g*g**(-1\/4)))\/g)*g)\/(g**1\/g) assuming g is positive.\nAnswer: g**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1*(-76)\/(-190)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837142 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 13601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**0\/q)))**46\/(q**(-11)\/q**(2\/5)) assuming q is positive.\nAnswer: q**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Let b(l) be the first derivative of -l**4\/12 + 7*l**3\/6 + 148*l - 1. Let d(x) be the first derivative of b(x). Determine d(a(u)).\nAnswer: -u**4 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.1 + 12. What is the closest to u in 1\/3, -2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/(-30))\/(4\/(-10)). Suppose 2*u - i*u = -58. Let z be 12*7\/28 + 168\/2. What is the highest common factor of z and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156.1 + 156.6. Suppose 3*x = x + 4. Put -2, x, c in increasing order.\nAnswer: -2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-52)\/(-36))\/(-2) - 0. Which is smaller: r or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126*(-69)\/(-113022))\/(2\/1118)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**7\/189 - 2*z**6\/135 - z**5\/45 + 4*z**4\/27 - 7*z**3\/27 + 2*z**2\/9 - 3*z. Factor p(f).\nAnswer: 2*(f - 1)**4*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(360)\/(sqrt(18)\/sqrt(2) + sqrt(9)))\/(sqrt(16)\/(sqrt(2) - (sqrt(2) - -1*sqrt(2))))*2.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 5 - 33) + (109 - 54)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 652 and 16.\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175740 by -290.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*a + 14, 0 = 2*x - x + a + 1. Let p = 3 + x. Factor -16*o**2 - p*o**3 + 7*o**2 + 0*o - 3*o.\nAnswer: -3*o*(o + 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:51 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 67068?\nAnswer: 67088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55898955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j - 4*z + 2, -4*j = -2*z + 10. Let q be (-1)\/((-2)\/(-3))*j. Let s be (1 - 11) + 3384\/282. Solve -q*m - 5 = s*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**10*g)\/g)**(-24\/5)*g**(-32)\/g**(1\/5) assuming g is positive.\nAnswer: g**(-449\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/7, -1, 21, -114?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/2 + 767*r\/2 + 384 = 0. Calculate r.\nAnswer: -1, 768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(2)) - sqrt(2)) + 1.\nAnswer: -5*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.089 to one dp.\nAnswer: -53.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 212 + -204. Solve -3 = -0*f - f - j, j - w = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(0 + 10 + -5). Let t(a) = a**2 - a - 1. Let w(m) = 3*m**2 - 2*m - 2. What is b*w(d) - 2*t(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*m + 2 + 2 - 4.\nAnswer: -230*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984664830.\nAnswer: 2, 3, 5, 67, 467, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632194.95 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 433955356 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -305, -1\/3, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - -1. Suppose 4*s - 28 = -2*p, -s = -p + 3*p - h. Solve p*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l + 1. Let s be m(-7). Let w = 134 - s. Calculate the greatest common factor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzzppzzzz. Give prob of picking 2 z and 1 p.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a83 - 1?\nAnswer: 6a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -10011?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q*q*q)\/(q\/q**(-1)))\/(q**7\/(q*(q\/((q**(-6\/7)*q)\/q))\/q*q)) assuming q is positive.\nAnswer: q**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by 406873\nAnswer: 65\/406873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1, 7, -3, 0.09 in increasing order.\nAnswer: -3, -1, 0.09, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 280837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 + t - 7. Let r(s) = 4*s**3 - 6*s**2 - 4*s + 34. Let c(h) = 28*l(h) + 6*r(h). Factor c(g).\nAnswer: -4*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r = 85. Let b = r + -13. Solve -b*g = n + 23, 3*g - g = 4*n + 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5475, 2, -0.029 in decreasing order.\nAnswer: 2, -0.029, -0.5475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 - 6286*b**3 - 3245324*b**2 + 2858050104*b - 5703068592 = 0. What is b?\nAnswer: -1794, 2, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**5 - 4*i**4 - 2*i**3 + 2. Let g(r) = -26*r**5 + 19*r**4 + 11*r**3 - 11. Let m(d) = 2*g(d) + 11*u(d). Solve m(b) = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50.7 - -48. Let a = s + -3.3. Is -0.2 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 620\/(-372) - -2*(116\/24 + -2). Let c(d) = d - 5. Let w be c(7). Suppose q - 4 + 1 = 0. Sort w, q, l in ascending order.\nAnswer: w, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 40*v + 8208. Calculate the greatest common divisor of v and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 415702.402 + 3\nAnswer: 415705.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4074 by -6.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3059068 + -55342007?\nAnswer: -55342007.3059068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75189 and 420423?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119533?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17\/4, -176 in descending order.\nAnswer: 5, -17\/4, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -324 - -342. Suppose 6*g - 5 = g. Calculate the remainder when g + 1 + (-165)\/(-5) is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 32.17998 milligrams?\nAnswer: 0.00000003217998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194805725.\nAnswer: 5, 227, 34327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 1650*k - 1645*k = 5, -47 = -7*q + 4*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -58*h**2 + 3187*h - 39530. What is x(36)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 y when four letters picked without replacement from uuyvvtvututtu.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 125539 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**3\/6 + 7*o**2\/2 + 28*o. Determine s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 36 = -8*r. Let j(n) = -n**3 + 9*n**2 + 20*n - 18. List the prime factors of j(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 - m**2 - 2*m - 1. What is c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022 times 9934?\nAnswer: -218.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = 4. Suppose 2*s - 4*v - 10 = 0, 2*s + y*s + 35 = -5*v. Let b be -1 + 4 - (-2 - (-3 - s)). Solve 0 = 2*r + b*l - 10 - 1, l + 1 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j + 39. What is y(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, n: 1, a: 1, v: 2, c: 2, h: 2}. Give prob of picking 2 v and 2 c.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2000 and -41\/36000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3)**(-10\/7))**5*(g*g**(1\/3)*g)\/g*g\/((g\/((g*g*g*g*g**(-1\/4)*g)\/g))\/g*g)*g**(-2\/5)\/(g**(-1\/12)\/g) assuming g is positive.\nAnswer: g**(-3289\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (-54)\/30)*210\/63. Solve 10 = -w*k - 3*x, 48 - 28 = -3*k + 4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 19*b = -3*q + 178 - 139, -3*q + 5*b = -39 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 3*n + 4. Let f be a(4). Let c = 6 - 4. Suppose 4*m - c*m - 5 = 3*u, -3 = -3*u. Sort m, f, -4.\nAnswer: -4, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939 is divided by 141?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110509624 divided by 27627406.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/104)\/(2416\/416156)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 8*a + 0*a + 305 - 305 + 21*a + a + 0*a + 0*a + (-a + 2*a + a)*(2 + 3 - 4) + a - 4*a + a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2 - 4*l - 16 = 0. Calculate l.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**6\/120 + z**5\/20 - z**4\/24 - z**3\/3 + z**2. Let q = 0 - 2. Let k be x(q). Solve -4*t - 12 = k*l, -2*l = 4 + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + o + 3, 2*o + 5 = -q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0405894 less than -23?\nAnswer: -23.0405894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 - i + 12. Let r be w(0). Suppose 12*x - r = -4*l + 16*x, -3*l - x = 3. Which is smaller: 4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 3*r**2 + r**2 + (-6*r + 3*r + 11*r)*(-r + 4*r - r) to the form b + l*r + k*r**2 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**3 + 15*b + 0*b**2 - 1 + 9\/4*b**4. Let z(f) = 3*f. Determine c(z(k)).\nAnswer: 243*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3234, -6479, -9724?\n\"Answer: -3245*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 14 = 5*b, -5*m - 7 = -21*b + 22*b. Let l(v) = -23*v - 1. Calculate l(b).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 232*i - 232*i + 93*i**5 + 4*i**5 - 5*i**5 + 2*i**5 + (4*i**2 - i**2 - 2*i**2)*(0*i**3 + 0*i**3 + i**3).\nAnswer: 95*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 25 = 0, 2*q + 0*q - 5*p + 23 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867 is divided by 276?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2409776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 3. Let o = 5 - 10. Let d = 6 + o. Which is the nearest to d? (a) u (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2029395 and -10\/70059.\nAnswer: 245556795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032485745 to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.04*12.\nAnswer: 96.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -12*s**3 - 92*s**2 - 112*s + 48 = 0?\nAnswer: -6, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r. Let l(n) = -6*n - 10. Let t be l(-5). Let v(c) = 13*c - t*c + 10*c. Calculate v(g(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 80.\nAnswer: -1, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.3 - 13.2. Let u = i + 34.6. What is the second smallest value in -1, -0.4, u, 5\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78328652?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**4*(g*g*g**(-2\/11))**(-3\/5) assuming g is positive.\nAnswer: g**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 6*q**2 - 2*q - 8. Let f(l) = -2*l + 4. Let c be f(5). Let v be x(c). Let j = -2 + v. Solve 4 = 3*o - j*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -689 + 1482. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611617259?\nAnswer: 3, 7, 19, 1667, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 45*o**2 + 195*o + 7873. Give j(-41).\nAnswer: -6846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200133 - -2?\nAnswer: 2200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2549848 and 5656.\nAnswer: 257534648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -236, -238, -244, -254, -268?\n\"Answer: -2*q**2 + 4*q - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.225 or 1343?\nAnswer: 1343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14*z + 26. Let k(q) = -7*q + 12. Calculate 9*k(j) - 4*o(j).\nAnswer: -7*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 23*c**4 - 165*c**3 - 76*c**2 + 155*c + 43. Let w(t) = t**4 + t**3 + t + 1. Let l(o) = -5*w(o) - x(o). Determine v so that l(v) = 0.\nAnswer: -1, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4624739 and 33\/124978.\nAnswer: 1045191014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((217\/42 - 5)\/1). Solve 5*s = 5*b - 40, r*s - 4*b + 24 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 9:35 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -780*r + 23. Let z be u(1). Let d = -3951706 + 102724677\/26. Let l = d - z. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.334 - -0.166. Let h = 4.5 - o. Let w = 34 + h. Which is the nearest to 5? (a) -3\/4 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/7 - 12838264*f**2\/7 - 1471612604540*f + 5886479762800.\nAnswer: -4*(f - 4)*(f + 1604785)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 6*i**2 + 27*i + 2. Let t be d(9). Suppose t*n = -4*z + 26, 7*n - 4*z = 6*n + 1. What is the highest common factor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -0.05. Let i = -0.0073 + w. Round i to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at least as big as 188\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -21, -1 in decreasing order.\nAnswer: 0, -1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y. Determine b(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(7\/6)*n)\/(n**(16\/3)*n))\/(n**(-5)*n)**(-12))**(5\/3) assuming n is positive.\nAnswer: n**(-1565\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqwwkpdpdkwxxw. Give prob of picking 2 p and 1 x.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - 101. Let w be 2 - j\/20*0. Solve -10 = -w*x - 2*o, -10 = -0*x - x - 2*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 906241?\nAnswer: 6343687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 955, -4, 4, 3, -3, 51, 2.\nAnswer: -4, -3, 2, 3, 4, 51, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3632279 is divided by 82?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16*((-15)\/6 + 3). Let h be (-830)\/u + 9\/(-36). Let s = -56 - h. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/47 (b) 0.13 (c) 0.0212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*r + 8593294 - 8593294.\nAnswer: -78*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 2*w. Suppose w*r = -3*s - s, -4*r - 7 = 3*s. Suppose s*d - 3 = 6. Solve -n + 16 = -4*n - 2*i, -5*i - 19 = -d*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7 + 15 = 5*x, 20 = 4*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(1*sqrt(128) + sqrt(128)))\/(sqrt(324) + sqrt(324)*2 + sqrt(324) + sqrt(4)*2*-2).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239489.039 rounded to the nearest one hundred?\nAnswer: -1239500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(99)*2 - (sqrt(99) - -5*(sqrt(99) - (sqrt(99) + 2*sqrt(99))))) + 3 + 5)*-1)**2.\nAnswer: 396*sqrt(11) + 12015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 40 + 28 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39773*q**3 - 7*q - 2*q**2 - 39725*q**3 + 6*q.\nAnswer: 48*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.28. Let o = j + -0.32. What is the third smallest value in -2\/13, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 4*q + 3. Let i be g(-4). Suppose 0 = -5*f + 3*y - 3, 3*f + 3*y = 5*y - 1. Let w = 5 + f. Solve w*x = i*c - 23, -5*c - x + 17 = -4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 517*q**3\/3 - 252*q - 866. Differentiate b(t) with respect to t.\nAnswer: 1034*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5366? (a) -4 (b) 23.6 (c) 2 (d) -0.2 (e) 1\/2 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356141 (base 7) in base 10?\nAnswer: -182211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + m**2 - m**2 + (m**2 + 2 - 2)*(m + 0*m + m) - 241*m**3 - 209*m**3 - 419*m**3.\nAnswer: -866*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiadahaddmi. What is prob of sequence hda?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 6 = 2*o, -3*i + 3*o + 6 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**6\/120 + z**5\/15 + z**4\/8 - z**3 + 1637*z**2. Give q(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7232240 is divided by 86?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/120 - a**4\/24 + a**3\/6 - 13*a**2. Let q be c(-2). Suppose k - q - 145 = 0. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 901 + 579. Calculate the remainder when l\/4 + (-4 - -6) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14769\/11 - -1343. Factor 2\/11*b + 2\/11 - j*b**2.\nAnswer: -2*(b - 1)*(2*b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 - 153531?\nAnswer: -154110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/9)*r*r)\/((r*r**(4\/5))\/r*r)*(((r*r**(2\/7))\/r*r)\/r)\/(r*r**(-17)*r) assuming r is positive.\nAnswer: r**(5123\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 0 - 1\/6*u**3 + 1\/24*u**4 + 0*u + 9*u**2. Suppose 2*n + 1 = -b, 4*n = -0*b + 4*b - 20. Calculate c(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 301 = -3*v. Suppose -5*z + 21 = -v. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h - 3*z - 1, 0 = 2*h - 5*z + 7. Let w = 1 - -10. Suppose 0*g + 10 = -5*g. Put g, h, w in descending order.\nAnswer: w, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*6*(74928\/2394)\/(-223)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -w + 79, p - 7*w + 8*w - 19 = 0. Suppose -4*b - j = -19167, -4*b + p*j - 19*j + 19176 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3587668637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70238 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 50*c**3 + 3*c**2 + 52*c**3 + 5 - 3 to the form g*c**2 + u*c**3 + y + k*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttnq when four letters picked without replacement from {i: 2, t: 2, q: 2, v: 10, n: 3}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/3))**29*y**(6\/5)\/y**5)**(-1\/41))**31 assuming y is positive.\nAnswer: y**(-2728\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**4 + 16344*q**3 + 81666*q**2 + 114312*q + 48987 = 0.\nAnswer: -5443, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1\/4, 0, 4, -95\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 84*x = -88*x + 50475, 0 = -5*o + x + 252270. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4414000 rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/(-52))\/((-99)\/440*25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 66, 97, 136, 183?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cskkyskkksssssskkke. What is prob of sequence ces?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 155. Let w(v) = -v**2 + 12*v. Give w(g(h)).\nAnswer: -4*h**4 - 596*h**2 - 22165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/15 + (-2)\/(-10). Let q(g) = 7*g - 14*g - 6 + 0*g**2 + g**3 + 3*g**m. Let k be q(-4). Solve -4*p + k = -3*s, -s - 1 = -6*s + 3*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7846 and 20.\nAnswer: 78460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 4, r: 9, t: 3, a: 1}. Give prob of picking 3 r and 1 a.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -34905404 times -0.3?\nAnswer: 10471621.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 962*q**3 - 10*q**2 - q. Let s(o) = -2*o**3 + o**2. Calculate 7*s(j) + x(j).\nAnswer: 948*j**3 - 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 0.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/125)\/b)\/b)**19*(b\/(b*b\/(b**(2\/7)\/b)*b))\/b**(-8))**20 assuming b is positive.\nAnswer: b**(-115564\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5632\/17 at most -331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189 divided by -1.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4367 - 4252. Solve -142 + p = -9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7978338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 11, 0.4, 0.014, -4, 37\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + 171*s**2 - s**4 - 192*s**2 - s**3 to the form v*s + i*s**3 + a + d*s**2 + c*s**4 and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/15 + 2*y**4\/3 + 8*y**3\/3 - 28*y**2. Factor l(r).\nAnswer: 4*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -884*w**4 - 2660*w**3 - 24*w**2 + 3536*w + 32 = 0.\nAnswer: -2, -2\/221, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (140\/(-8))\/(-7)*2. Suppose 10 + 1 = -n - l*h, 4*h = -12. Sort 3, -1, n in descending order.\nAnswer: n, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3294 and 75396?\nAnswer: 678564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u + 76421 - 76213 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -16. Let c = -15.999956 + n. What is c rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -704\/15 - -213\/5. Which is bigger: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327600.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 202*h + 9. Let k(a) = 102*a + 5. Determine 5*k(b) - 3*t(b).\nAnswer: -96*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6093835*0.4\nAnswer: -2437534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*m = -0*g - 117, m = g - 31. Let w = g + -48. Let x(f) = -f + 6. What is the lowest common multiple of 70 and x(w)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -202*r + 151*r - 604*r + 9471 + 27209 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-14 + -5 + 14). Let y be (-3)\/530*70\/(-84). Is y <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(88) - (sqrt(88) + (-1*sqrt(88) + sqrt(88))*2 - sqrt(88)))\/(sqrt(24)\/(sqrt(3) - sqrt(3)*-2))*-6)**2.\nAnswer: -17820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 2*z - 2*z)*(5 + 0 - 3) - 2*z + 2314*z**2 - 2314*z**2 - 261*z**3.\nAnswer: -263*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 6:48 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 + 9*f**2 - 7*f + 4. Let l(h) be the second derivative of -h**2 + 1\/2*h**3 + 12*h - 1\/3*h**4 + 0 + 1\/10*h**5. Determine -4*g(d) - 9*l(d).\nAnswer: 2*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19.3 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15414)\/(-26) - (-11 - (-1128)\/104) is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.983 (b) -0.3 (c) 13305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101111000000 (base 2) to base 16.\nAnswer: -3bc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**2 - z. Let j(i) = -71*i + 3. Determine b(j(k)).\nAnswer: -35287*k**2 + 3053*k - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.71982 - 15.61112. Let t = -14.9 - i. Round t to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 2*w**2 + 7*w - 9. Let p be l(4). Let c = 67 + p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/30334 - -60633\/212338. Factor h*p**2 + 126 - 12*p.\nAnswer: 2*(p - 21)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 48*t + 43*t - 28, -p - 2*t = -7. Let z = -200 - -110. Let f be (-2)\/p - z\/(-126). Which is the smallest value? (a) 2.8 (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -18*g**2 + 0*g - 2\/3*g**3 + 0 + 13\/24*g**4. What is the first derivative of k(d) wrt d?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 9*q**2 - 113*q + 2297. Calculate n(16).\nAnswer: -1303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c + 79. Let i be y(-9). Let j(m) = 7*m**2 - 2. Let v(u) = -7*u**2 + 2. Calculate i*v(a) + 6*j(a).\nAnswer: -7*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 2*i - 3*i + ((-5 + 0 - 3)*(-4*i + 2*i + i) - 2*i - 3*i + 4*i)*(3 - 4 - 1) in the form l*i + u and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -509.3896?\nAnswer: 509.4896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 34. Suppose -20 = -3*d + 5*g - 1, 5*g + a = d. Let k = 91983 - 91988. Put 2\/7, k, d in descending order.\nAnswer: 2\/7, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**2 - 6*w**3 + 7*w + 32*w**2 + 3*w**3.\nAnswer: -3*w**3 + 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15520526 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893 is divided by 628.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -97709090?\nAnswer: -2\/48854545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 18*m**2 + 48*m - 20. Let n be u(15). Suppose -328*v = -333*v + n. Solve 0*k - k = v*y - 24, k = 3*y - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64475, -75325, -86175?\n\"Answer: -10850*p - 53625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 14*f - 2. Let p be ((-2880)\/252)\/20 + -2 + 174\/(-14). What is m(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 1431\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5922011 + 0.8221974. Let i = -0.77 - n. Round i to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -373*w**3 + w**2 + 6*w + 3. Is 9 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15849 - -506. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309858416 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 12*t + 17*t - 2*t.\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128875 or 0.296?\nAnswer: 0.296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10104841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i - 1. Let j be d(1). Suppose j - 2 = 4*k. Solve -2*g - 6 = a, -k*a - 15 = a + 5*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/224)\/(9\/24)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwx when three letters picked without replacement from {n: 1, x: 1, w: 18}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 0. Suppose g - 634 = -3*t, 0 = -3*g - 3*t + u*t + 1926. Suppose -5*a + g + 315 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)\/((-1)\/3). Suppose 3*h = -2*n + k*n + 6, -n = 3*h - 6. Suppose 2*c - h = r + 1, 0 = 3*r + 2*c - 23. Let j(u) = -u**2 + 5*u + 3. Give j(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81552 + -83165.\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 327551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 - 11720*j**2 + 450016*j - 3324160 = 0.\nAnswer: -2968, 10, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 1, z: 4, x: 3, i: 2}. What is prob of sequence af?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 90*y + 10*y as c + t*y and give t.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 66334*w\/13 + 132660\/13.\nAnswer: 2*(w + 2)*(w + 33165)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*j + 8*j - 17*j - j + 0*j + 2*j + (-1 + 2 + 0)*(-2 - 2*j + 2).\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-one halves of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1\/3 (b) 0.16 (c) 1 (d) 2\/427\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*z + 211*z - 44625 = -305*z. What is the remainder when 1306 is divided by z?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/576*-15*(-44)\/(-1) and -19\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 5481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-112 - -4297)*2\/5?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2. Let p(w) be the first derivative of -w**3 - 21. Give p(f(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 114*w. Let p(d) = -4*d**2. Determine q(p(n)).\nAnswer: -456*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 + 102.0712. Round j to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 13 - 4*r - 3*r)*(5*r - 3*r + 9*r).\nAnswer: -22*r**2 + 143*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -280.4547095 rounded to 1 decimal place?\nAnswer: -280.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39011526, -78023052, -117034578, -156046104, -195057630, -234069156?\nAnswer: -273080682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + j**2 - j - 1. Let b(z) = 5*z**2 + 11 - 25 - 3*z**2 - 2*z + 11 + 3*z**3. Determine -3*b(q) + 6*n(q).\nAnswer: -3*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (25\/1750*-7*2)\/(41\/(-10))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 28*c - 241. Let k(a) = -51*a + 480. Calculate 6*k(h) + 11*u(h).\nAnswer: 2*h + 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -186?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 23\/7, -25, -1, -0.13, 0.2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 4:26 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 96*d**2 + 13*d + 1305. Calculate b(-96).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-426426896.\nAnswer: -426426896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.92905304 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -27 (b) -27400 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*-3 - sqrt(363))*-6)**2.\nAnswer: 209088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgggrgg. Give prob of picking 2 r and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*-4*((-476)\/(-112))\/(-17)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 3:07 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwuuuwuwww. Give prob of sequence wuww.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8186.287 grams?\nAnswer: 8186287000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-2))\/((-32)\/(3072\/(-36)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -563*d**6\/2 + d**4\/2 - 952*d**3\/3 - 1621. What is the third derivative of j(s) wrt s?\nAnswer: -101340*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 11) in base 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 3. Suppose -4*a = 3*f - 49, -a = f - 13 - 2. Suppose 0 = 15*n - f*n + 8. Let p be w(n). Solve 4*o - p - 12 = -c, 4*o = -5*c + 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 129*c = -1632 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2784?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 5*t + t. Let d(h) = 21436*h - 21436*h + 2*h**2. Calculate d(u(l)).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 180014234*a**2 + 4050640645332960*a - 4050640465318728.\nAnswer: 2*(a - 45003558)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1328357, -1328368, -1328379?\nAnswer: -1328390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369 by 4.\nAnswer: -369\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96090494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 0.026, -2\/13, -2\/5, -2, 160?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -78.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 31 + 5 + 12 - 12*w**2 + 13 to r*w + f + o*w**3 + j*w**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4109170 to the power of 1\/2, to the nearest integer?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -18 (c) -5 (d) -29 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 22 = -4*a, -c = c + a + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -17*h + 77. What is the units digit of j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -751*l**2*p**2 + 156*l**2*p - 76*l*p**2 + 13*l*p + 4*l - 2*p wrt p.\nAnswer: -1502*l**2 - 152*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0101511625 - -0.2\nAnswer: 0.2101511625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**3 + a**3 - a**3)*(-10*a - 109*a + 8*a) to o*a**3 + h + i*a**2 + x*a + u*a**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034 (base 10) in base 7?\nAnswer: -3005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25309 - -36428. Let q = u - 18819. What is q rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23586411 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 0*k + 114 = 0. Suppose -8 = -k*p + 17*p. Solve -s - p*s = -20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5500 = -5*r - 946, -3036 = -2*m + 4*r. List the prime factors of m.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.7 (b) -22 (c) 11\/7 (d) 3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117 - 116) + -21 + 0 + -15.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34521, -69033, -103527, -138003, -172461?\n\"Answer: 9*n**2 - 34539*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100325 (base 7) in base 10?\nAnswer: 16973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 28*z + 111. Give m(27).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.32647 times -0.07\nAnswer: -0.2328529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(324))\/sqrt(6))\/((sqrt(180)\/sqrt(3))\/sqrt(10)))\/((sqrt(3993)*1)\/(sqrt(11) - -2*sqrt(55)\/sqrt(5))).\nAnswer: -6*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -362765.521327 and -18.7.\nAnswer: -362784.221327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219269384.\nAnswer: 2, 43, 101, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1552452656\/3561531 - -2\/187449. Let x = z - -436. Let j = 27\/76 - x. Which is the nearest to 1? (a) -0.4 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7938700 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Suppose 0 = o*y + 2*s + 1 + 5, 3*s - 6 = 0. Put y, 3, 4 in decreasing order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3613, 7228, 10877, 14572, 18325, 22148?\n\"Answer: 2*c**3 + 5*c**2 + 3586*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**4\/4 - 5*r**3\/3 + 2*r**2 + 6*r + 2. Let d be g(5). Let y = -1834 + 1847. Calculate the greatest common divisor of y and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-395)\/10)\/(0 - 1\/2) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 862 + -863.83. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 + -247. Let d = -0.06 + 0.36. Let y = -0.1 + d. Is q greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.99 - -0.01. Let h(d) = d + 4. Let y be h(-5). Let q be 297\/(-77) + 2*2. Which is the biggest value? (a) u (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 + 3*f + 0*f)*(f + 3 - 3 + 2*f - 1 + 1 + 4*f + f - 4*f + f + 2 - 2 + (2 + 3 - 3)*(1 + f - 1) + f - 3*f + 0*f).\nAnswer: 5*f**3 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18477 and 5237203.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-43 - 129688\/(-4321))?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/7, 1125, 4, -0.3, 3, 0.0478?\nAnswer: 1125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229\/3 + -77. What is the second smallest value in 5, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 720 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - 2 - (-2 - 0) - -62 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/(-560) - ((-59080)\/32494 - 324\/(-154))?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 17*n - 7. Let a be k(-13). Let o = a - 29. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmmddwwmwmw. Give prob of picking 1 m and 1 w.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2901?\nAnswer: 2901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2. Let p = -9 - -14. Suppose 2*m - 12 = -2*c, -m = -p*c - 9 + 33. Let y(s) = -122 - c*s + 122. Determine o(y(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -602351116 and -26377.\nAnswer: -602377493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(50) - (sqrt(50) + (sqrt(50)*-2)**2))*-6.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 1 = -3*m + 5, -2*m = 3*k - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -15\/14*l**2 + 1\/14*l**6 + 3\/7*l**4 - 6\/7*l - 87 - 2\/7*l**3 + 12\/35*l**5. Suppose y(j) = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 1 - 5829722183*h**3 + 5829722166*h**3.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g - 8*g - 100 = 0. Let f(p) = -9*p + 1. Let t be f(-1). Suppose t = -2*k, 3*m + 2*k = 7*m - 46. What is the remainder when m is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j - 2856 = -68*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41860 at most as big as 33291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100000 + -110111101000011110100?\nAnswer: -110111100111111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:08 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -4, -6.\nAnswer: -6, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -5*p**4\/12 - 11*p. Let r(f) be the first derivative of 2*f**3\/3 - 247. What is r(x(s))?\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 0*l = l - 7 + 21, -13*l + 3 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - 16. Suppose -2 = -3*n - 2*r, -2*n + 3*r + 15 + 8 = 0. Calculate the smallest common multiple of n and (h\/4)\/(-2)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420546?\nAnswer: 2, 3, 7, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 8 = -37. Let o be 1\/1 - ((-18)\/p)\/(-6). Solve o*i = -1 + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 - -85. Is 8 a factor of ((-10)\/5 + (1 - i))*-40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.31 + -5.23. Let y = r - 0.08. Let t be (-3 - 0) + 24\/3. Which is the third smallest value? (a) 3\/7 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 846.417 - 871. Let r = 24.6946 + 0.0054. Let a = r + l. Round a to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/11 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*f**2*g**2 - 9*f**2*g - 9000*f**2 - 5*g**2 wrt g?\nAnswer: 16*f**2*g - 9*f**2 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, 0.2, 194, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1896*n = -1879*n - 187 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25236, 24930, 24636, 24354, 24084, 23826?\nAnswer: 23580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/(z\/((z\/z**(3\/5))\/z)))))\/z)\/z)**(-2\/45)*(z*z**(-1)\/z*z)**(2\/49) assuming z is positive.\nAnswer: z**(26\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**4 + y**3 + 94*y**2 + y + 2. Let j(h) = 2*h**4 + h**3 + h**2 + h + 2. Let x(p) = -d(p) + j(p). What is the third derivative of x(a) wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31\/4, 31, -3, -2\/5 in descending order.\nAnswer: 31, 31\/4, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 10*o + 10. Let p be l(-9). Which is greater: 2\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -39. Let p be 0*(-2)\/(-6) - f. Let t = 11 - p. Sort 0.3, t, -2 in descending order.\nAnswer: 0.3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 3, g: 4}. What is prob of sequence ggg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3, 3*x + x - 2*k - 246 = 0. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 2076*m - 517715. Determine s(225).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -20*k**3 + 2*k**2 + 3*k + 1. Let m be b(-1). Let g = m - 19. What is the least common multiple of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -1, 19188.\nAnswer: -2, -1, 3, 19188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*u**2 - 16 + 149*u**2 + 6*u - 47*u**2 - 50*u**2.\nAnswer: (u - 2)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.288 + -0.179. Let p = -0.899 + l. Round p to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 475 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 85*q**2 + 125*q + 1949. What are the prime factors of g(-19)?\nAnswer: 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:18 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, q: 4}. Give prob of picking 3 q.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2036691.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, 26, -2 in ascending order.\nAnswer: -2, 0, 0.5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*z + 5*w, 4*z - 2*w = z - 2. Suppose -9*i + 2125 + 1493 = 0. Let y = 406 - i. Sort -5, y, z, 1 in descending order.\nAnswer: y, 1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*r - 117 = -260*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**17\/f**(-1\/7) assuming f is positive.\nAnswer: f**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/14)\/1*(-4)\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182014 or 182012?\nAnswer: 182012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 1478.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -126 (b) -0.051 (c) 6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -3\/4*z**4 - 3 - 21*z**2 - 9*z**3 + 0*z. Factor l(r).\nAnswer: -3*r*(r + 2)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:13 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 13 = 2*s, -2*s - 252*q = -250*q - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1775 + 6815. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3664, 7332, 11002, 14674, 18348?\n\"Answer: y**2 + 3665*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -22 - (-10 - (17 - 18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19488900 and 3006?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12743 - 12737. Which is the second biggest value? (a) -17 (b) -0.5 (c) v (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 626926 and 6460.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 16. Suppose 38 = -2*z - 2*w, w - 74 + r = 4*z. Let u = z - -25. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 = -78. Let h be 15\/20 + 15\/y. Factor 3*u - 39\/2*u**4 - 27\/2*u**3 - 15\/2*u**5 + h*u**2 + 0.\nAnswer: -3*u*(u + 1)**3*(5*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003968 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00158676 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - 13?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1028709 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(3*-1)*5. Let v = 3 + m. What is the smallest common multiple of ((-15)\/3)\/(v\/2) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 4*o + 11*o + (-o + 0*o + 2*o)*(4 - 4 + 7))*(5*o - 4*o + 3*o).\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/56 and (-22)\/120 + -5*(-2)\/30?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 b, and 1 a when four letters picked without replacement from {b: 6, r: 8, a: 1}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 21*a + 57. What is the units digit of q(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -57 (b) 0.4 (c) 10 (d) 4 (e) 4\/7 (f) -3\/5 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -694223 to the nearest 1000.\nAnswer: -694000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1395\/(-11)) + 12\/66 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 13734311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -4. Let b(f) = 2*f**3 + 3*f**2 - 2*f - 3. Let n(r) = 4*r**3 + 7*r**2 - 5*r - 7. Let h = -17 - -22. What is h*b(m) + p*n(m)?\nAnswer: 2*m**3 + m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**3 + 2*o**3 - o**3)*(3*o - 2*o + o)*(1662 - 37 + 2319) in the form y*o**2 + d + i*o + r*o**3 + w*o**4 and give w.\nAnswer: -7888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 2*j - 26, -5*g = 4*j - 14. Suppose 3*m - 29 = 4*u, -4*m + u - 5*u = 8. Suppose 3*p = 15 - m. What is the remainder when g is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000118037 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + 2*n)*(-3 - n + 3 - 1 + 1 + n + 0*n + 0*n + n + (3 - 2 - 3)*(-3*n + 2*n - n) + 2*n + 0*n - n + 734 + 377*n - 734).\nAnswer: 766*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + g**2 + 5*g + 11. Calculate the remainder when 122 is divided by h(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*f**3 + 4 + 7*f**3 + 3*f**3 wrt f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*c + 10 = 0, 3*a + a + 2*c - 14 = 0. Find the second derivative of -109*d**3 + 109*d**3 + 23*d**a + 39*d**4 + 9*d wrt d.\nAnswer: 744*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288, -280, -266, -246, -220, -188, -150?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 97, 135, 159, 163, 141, 87, -5, -141?\n\"Answer: -p**3 - p**2 + 48*p + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 612785, 1225523, 1838261, 2450999, 3063737, 3676475?\n\"Answer: 612738*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -318268, -636531, -954788, -1273039, -1591284, -1909523?\n\"Answer: 3*f**2 - 318272*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 6. Let p be j(4). What is the second derivative of o**3 - 26*o + 2*o**3 - p*o**2 + 10*o**2 wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**6*s*s*s**(-3\/5))**(-17))**(-23) assuming s is positive.\nAnswer: s**(-7038\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*y = 38, 4*z - 3*y + 3 = 2*z. Suppose u + 5*n + 12 = -53, -u - n - 57 = 0. Let c be ((-11)\/u)\/(z\/(-5)). Is -1 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 57*i + 36. Let q be f(12). Suppose 0 = -3*y - 10 + 64. What is the highest common divisor of y and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25138277 and 6567?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/12 + (-60)\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - 16*z + 95. Determine a(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.193 + -0.031. Is b not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1904480468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755150111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964 - 1861 - (0 + 179)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2*o**3\/3 - 2*o**2 + 4. Let u be m(5). Let w = 162 - 72. What is the highest common factor of u and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 1. Suppose -5*t = -5*n, 4*n + 6 = -0*t + 2*t. Let b be -9*(10\/3 + -4). Let j(w) = -6*w**2 - b*w**2 - 3 + 7*w**2. Determine n*z(g) + j(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40, 62, 2, -182, -532, -1090, -1898?\n\"Answer: -7*s**3 + s**2 + 68*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-456)\/672)*540\/135.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233\/41 or -5?\nAnswer: -233\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4 - 62*z**3 + 200*z**2 - 136*z = 0. What is z?\nAnswer: -34, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 112000020011120?\nAnswer: 112000020011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46192300?\nAnswer: 2, 5, 7, 11, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 8*j**2 - 4*j + 245. Let d be a(12). Let i be -3 - -15 - (-1 + 0). Suppose -4*n + 4*r = -12244, -10*r - d = -n - i*r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -43*m - 18. What are the prime factors of q(-16)?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80592 divided by -438?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.03 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 4:12 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4638 - -7660. Is 51 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*-6*1*sqrt(220))\/(sqrt(720) - -3*(sqrt(720) + (sqrt(720) - (-2*sqrt(720) + sqrt(720))))).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 18*v**5\/25 + 6*v**4\/5 - 22*v**3\/15 + 2*v**2\/5 + 11. Factor q(j).\nAnswer: 2*j*(j + 2)*(3*j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + 0*a - 2*a)*(-a**3 - 7*a + 4*a + 2*a) in the form w*a**3 + z*a**4 + f*a + q + s*a**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*x + 91 - 27 = 0, -3*v - 4*x + 17 = 0. Suppose -5*a = 0, -2*a - 1 - v = -4*k. Differentiate 4*d**2 + d**2 + k - 2*d**2 wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2377, -2407, -2453, -2521, -2617, -2747?\nAnswer: -2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -37*i**3 + i. List the prime factors of y(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25968323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 25, 39, 57, 79, 105?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -210312?\nAnswer: -210311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -219 + 20*m + 134*m + 8*m + 80*m + 1266 wrt m?\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/13)*z)\/z)**23*(z\/(z\/(z\/(z\/(z*z**13))*z)))**(-1\/30) assuming z is positive.\nAnswer: z**(539\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1171 = -s + 5*j, -1658 = -3*s + 5*j + 1865. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.4. Let k = -2\/21 + 3\/7. What is the closest to -1 in f, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19526613 is divided by 255?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbsbsb. Give prob of sequence bbb.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -d - 2*d. Let l = d + -13. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27981 - 0.4.\nAnswer: -27981.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -19. Solve s*t + 2 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13*k**3 - 3*k**2 - 2*k - 1. Let h(r) = -13*r**3 + 4*r**2 + 3*r + 1. Give 4*h(g) + 5*o(g).\nAnswer: 13*g**3 + g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 9. Let p(v) = v**2 - 25*v - 137. Let u be p(30). Suppose -28*x + u*x = 0. Give j(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2218347, -4436690, -6655037, -8873388, -11091743?\nAnswer: -13310102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, 1, -3, 4 in increasing order.\nAnswer: -3, -1\/15, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -150*0.0848\nAnswer: -12.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4389890 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38675*q**2*x**2 - 163*q**2 + 7*q*x**3 - 184*q*x + x**3 + 47 wrt x.\nAnswer: 77350*q**2 + 42*q*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -11. Let s = y + 12. Calculate the greatest common divisor of s and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 8 = -n, 28 = -4*t + 4*n + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41356285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 79 from -0.101.\nAnswer: -79.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + 4*(1*sqrt(832)*-6 - (-1 + sqrt(832) + 4))**2.\nAnswer: 1344*sqrt(13) + 163115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-8 - 0) - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2. Let i(k) = 1648*k**2. What is c(i(q))?\nAnswer: -16295424*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/6)\/((-9)\/12)*-9. Solve 20 = -2*l - x*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -37435*w - 449422. Calculate b(-12).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {o: 4, x: 3, r: 1, v: 2, t: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -2*p**7\/35 - p**5\/30 - 93*p**3\/2 + 3*p**2 - 39*p. Find the first derivative of x(s) wrt s.\nAnswer: -48*s**3 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10143 (base 6) to base 2.\nAnswer: -10101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1507*q**3 + 6*q**2 + 51*q - 8. What are the prime factors of o(3)?\nAnswer: 2, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/6)\/(24\/(-19656))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 29*c + 4. Let f(d) = -d**2 - 17*d - 15. Let n be f(-16). Let x be m(n). Suppose 3 = -3*i + x. Which is greater: i or 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*a + 3*a**3 + 234*a + 66*a + (-a + a - 2*a**3)*(-2 + 2 - 2) to o*a + n*a**3 + f*a**2 + r and give o.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/2))\/n**(-1\/4)*n**(2\/7)\/n**(-7) assuming n is positive.\nAnswer: n**(197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528091681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 416, 575, 734?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 16*x**2 - 14*x - 12. Let p be b(15). Suppose -p*j + 2*l - 50 = 4*l, 77 = -5*j + 3*l. What are the prime factors of (-2)\/8 - 1044\/j?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -10) + -16 + 5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2520129*l**3 + 12*l**2 - 6258*l - 2.\nAnswer: -15120774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*n - 349, 2*y - 144 = 5*n - 6*n. What is the derivative of 32*h**2 - 42*h - y - 26*h**2 + 34*h wrt h?\nAnswer: 12*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350 + -267. Let x be -4*(3 - q\/(-206)). Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1427 + -1425. Let h be 2*(-2 - 5\/(-4)). Let k = 24\/7 + -199\/56. What is the third smallest value in l, h, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 18. What is the tens digit of (-1*4\/w)\/(4\/78)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 1047 (b) -2 (c) 2\/9 (d) -4 (e) -3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a millennium in months?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 14) in base 11?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 4. Let f be m(-10). Let b = 62 + f. Solve b = -5*q + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0 + (-12)\/(-15). Find z, given that 0 - j*z**3 + 14\/5*z**4 + 4\/5*z**2 - 4\/5*z**5 + 0*z = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 9 - 2 - 4 - 3 + 9*n.\nAnswer: 9*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 5*b)*(-b + 11 - 3*b + 5*b)*(14 - 14 - 6*b) as t*b + d + u*b**2 + x*b**3 and give u.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1257\/7 - -180. Which is the nearest to -3? (a) j (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/234 and -11\/1612.\nAnswer: 14508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, -31.\nAnswer: -31, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*q - 8, 13 = 4*q + 4*w - 15. Suppose 5*o + 0*o - 15 = 0. Suppose o*d - q = 15. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 9*g**2 - 7*g - 8. Let c be m(8). Let t be 1 - (-3 + (c - -2)). Suppose 0 = 5*l + 15, -t*l - 22 = -4*x - 0*l. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 7:19 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 5711423498?\nAnswer: -5711423498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*b + 9 = -4*b, 4*b - 10 = 2*n. Let s be (0 - 1) + (-25)\/5. Let i be 2 - (-4 - (s - n)). Solve -l - i*l = -16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 522 and 32418.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 111\/(-999)*(0 + 6\/(-4)). Which is the closest to 0.2? (a) -2 (b) q (c) 3\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**19\/l)**(3\/20)*(l*l**(-5\/7)\/l*l)\/l*l**(-1\/26)\/l assuming l is positive.\nAnswer: l**(1997\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6 and -48\/535?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*5*22\/66*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*w + 12984 = 0, -9*y - 104*w = -105*w - 23362. What is the greatest common factor of y and 3068?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669531 divided by -9?\nAnswer: -223177\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-134)\/(-3417) + (-453)\/(-153). Solve 0 = -4*o - 4*k - 24, 8 = -5*o - v*k - 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 5*f + 762. Is r(-29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82\/46377 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155.999929 + 156. Round j to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**7\/1260 - i**6\/360 + i**4\/3 + i. Let f(l) be the third derivative of b(l). Let f(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-91)\/(-14) - 7 - (-74)\/4. Suppose -a = -y - 59. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-5)*(-710)\/(-426)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*c - 0*h - 4, -5*c = 4*h - 36. Suppose 17 = -4*a + 1, -c = -4*y - 2*a. Find the first derivative of -2 + y + 1 + 0 - 3*p**2 wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4 and (-3 + -4 + 1 - 1171\/(-402)) + 3.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k - 4. Let g(c) = -c - 1 + 2*c + 2. Let n(l) = -6*g(l) - u(l). Let j be n(3). Solve w + j*w - 25 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 505 = l + 517, 0 = -p - 3*l + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o - 22. Let n be i(-2). Let f(q) = -q**3 - 9*q**2 - q - 8. Let p be f(-9). Let a be ((0\/(-2))\/(p + -4))\/1. Sort 4, a, n in increasing order.\nAnswer: n, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from smjkemj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/1*4082\/24492.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 12*s**2 - 3*s - 1. Let g(m) = -11*m**2 + 3*m + 1. Let f(p) = -2*g(p) - 2*u(p). Let q(t) = 751*t. What is f(q(w))?\nAnswer: -1128002*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 + 125. Let m(q) be the second derivative of -q**4\/12 - q**3\/2 + 23*q**2 + 86*q. What is the remainder when g is divided by m(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**3 + 28*i**2 + 11*i + 17. Let w be k(4). Put -0.2, w, -0.07 in descending order.\nAnswer: -0.07, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(3*2\/(-177)). Let q = 84 + w. What is the remainder when q is divided by ((-6)\/(-4))\/((-2)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*u + 12220, 2*t = 3*t + 3*u - 4078. Suppose 4*o - 10878 = -2*k - t, 3*o = 5*k + 5124. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216300*o**2 + 28900*o + 8 = 0. What is o?\nAnswer: -2\/15, -1\/3605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1331)*1 + 5 - ((-1 + sqrt(1331))**2 + -1)) + 3*(sqrt(1331) + sqrt(1331)*2*4)**2 + -5)*1.\nAnswer: 33*sqrt(11) + 322097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 2. Calculate w(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6847929597.\nAnswer: 3, 25693, 88843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 - 11 = 0. Suppose -5*l = -5*o + 5, d*o + 5*l = l + 31. Suppose 5*k + 15 = 0, -2*w + o = -2*k - 9. Solve w*n + 5 = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 153.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -390 * -4.\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*l**3 + 42*g*l**2 + g*l + 71972*l**3 - 193*l - 1 wrt l.\nAnswer: 18*g + 431832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1012979802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*t + 21*t + 4. Suppose 5*m + 7 = -u, -2*u - t = 4*m - 7*m. What is the closest to 1 in u, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - 1371\/(-21). Let s = -193\/3 + u. Let o = 26785\/8 - 3338. Find the common denominator of s and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**2 + 69*b**2 - 24*b**2 - 37*b**2 + 26*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6818707 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000328218 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + a = -52 + 14, 0 = -5*a + 5. Let d be (2\/3)\/((-4)\/42). Let c = d - v. What is the remainder when 29 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*i + 3*i. Let g(u) = u + 2. Calculate the least common multiple of g(2) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**3 + 2*r**2 + 2*r. Let s be c(-1). Suppose 0 = -s*u - 4*o + 1484, -o + 1847 = 2*u + 3*u. Calculate the remainder when u is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = u, 7*u + 22 = -t + 12*u. Let h(q) be the third derivative of 0 + 1\/210*q**5 + 1\/21*q**3 + t*q**2 + 0*q + 1\/42*q**4. Factor h(r).\nAnswer: 2*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127503?\nAnswer: 3, 31, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 115\/6 (b) -222\/5 (c) 3\/5 (d) 0 (e) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 901626911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3480 divided by -1847\nAnswer: -3480\/1847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25\/304 (b) 0.2 (c) -0.4 (d) -5 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8\/(n\/n**(3\/5))*n\/n**(2\/9)*n*n**(-9)\/n assuming n is positive.\nAnswer: n**(-28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -202012?\nAnswer: 202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.23016 nanograms in milligrams?\nAnswer: 0.00002723016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 563*z - 275*z - 287*z. Let s(v) = -670*v. What is s(o(n))?\nAnswer: -670*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 33 = -5*k, 3*l + 4*k = k + 21. Let v = l - 0. Suppose -v*j + 5*j = 75. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 - -81?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from {m: 3, x: 2, g: 1, w: 1, l: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 + 2899*l**3 - 769*l**2 + 91817*l + 48 wrt l.\nAnswer: 24*l**2 + 17394*l - 1538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*r - 5*w, -19 = -4*r - 0*w + 3*w. Let v = 4 - r. Suppose -5*p - 2*h = -109, v = -6*h + 2*h + 8. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -898 - -916. Let a be (-1)\/(h\/3 + -9). Factor 5\/3*f + 4\/3 + a*f**2.\nAnswer: (f + 1)*(f + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23227 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 4*f. Let z be j(-3). Suppose 2*i - z*k - 10 = -0*k, -5*k = 2*i + 22. Which is the nearest to i? (a) 2 (b) -14\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 - -2.98. Let b = 0.3 - 0.5. Let w = -1.897 + 0.897. What is the closest to w in z, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/7 or -33518515?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:56 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/308 + -2047\/2772. Find the common denominator of 81\/352 and i.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104)*-1 + sqrt(104)))*1*5*-2)\/(sqrt(88)\/(sqrt(55)\/(sqrt(20)\/sqrt(4)))*-5) + 5.\nAnswer: 5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14))\/(3*(1 + 0)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0 - 9. Suppose -17 = 4*d - 5. Is y at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 3*w + w - w**3 + 4 - 2*w**2 - 3*w**2. Let f be l(-3). Calculate the highest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -58*1\/20 - (-72)\/18. Sort 1\/14, 3, n.\nAnswer: 1\/14, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1801*u + 0*u**2 - 501 + 3573*u + u**3 + u**4 - 1773*u - u**2 to the form o*u**2 + h*u + f*u**3 + t*u**4 + g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33, -35, -41, -51?\n\"Answer: -2*r**2 + 4*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11771 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18a47 - -283?\nAnswer: -187a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35924, -142938, -321044, -570242, -890532, -1281914?\n\"Answer: -35546*z**2 - 376*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-40))\/(135\/(-50))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 90. Let g be s\/2*(-3)\/(-4). Suppose -l - 2*l - g = -3*b, l = 4. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/45*(-3690)\/574.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 + 6*y + 304. Let h(s) = -3*s**2 - 2*s - 151. Determine 2*a(x) + 5*h(x).\nAnswer: -x**2 + 2*x - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen quarters of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -413, 0, 574, 3 in descending order.\nAnswer: 574, 3, 0, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -39401062016.\nAnswer: -39401062015.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puuu when four letters picked without replacement from {u: 5, m: 5, p: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 5. Let k = -13 - -21. What is the smallest common multiple of k and (s + -4)\/((-6)\/20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - 2*l + l + (-2*l + 5*l - 2*l)*(3 - 5 + 1) + l - l - 2*l + 3 - 3 + l + 2 - 2 - l - 398*l + 140*l + 24788 - 49571 + 24792.\nAnswer: -263*l + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 1\/72*p**4 + 0 + 0*p + 0*p**3 + 1\/180*p**5 - 2*p**2. Factor w(m).\nAnswer: m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 180, 699, 1562, 2769, 4320, 6215?\n\"Answer: 172*k**2 + 3*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075968671268 plus 1062?\nAnswer: 1062.075968671268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let f(i) = -2*i + 85. What is f(m(q))?\nAnswer: 2*q + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - ((-372)\/72 - -6). What is the smallest value in -3\/11, p, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54908 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + 8 + 2*l - 11*l)*(-2*l - 2*l + 5*l)*(6*l**2 - l**2 + 9*l**2)*(-1 + 2*l + 1).\nAnswer: -84*l**5 + 224*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(171)*2)\/sqrt(9) + -2).\nAnswer: -2*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 10829.\nAnswer: 10828.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-13)*(-167648)\/(-7488).\nAnswer: 62\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r. Let n be 2\/21*-3*-7. Let z(o) = -o**2 - o**n + 6*o - 6*o. Calculate z(p(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 9 - (0 - -56).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 27. Suppose 5*n + 3*h = -18, -u*h - 2 = -0*h. Let m = -1.2 - -1. Which is the closest to 0? (a) m (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 187 = 2*o, 8*o - 311 = -5*q + 4*o. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*((-54)\/20)\/(-3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((13 - 0) + 3)\/1. Let f = -11 + v. Suppose 2*o = f*o - 18. What is the least common multiple of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*h**3 + 2*g**3*h**2 + 15*g**2*h**2 + 2*h**3 wrt h?\nAnswer: 24*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*v + 4 = 0, 7*v - 4*v = -f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/5 - 2816*z**2\/5 + 412817*z + 8301332\/5 = 0.\nAnswer: -3419, -4, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3*o + 1. Let j be l(3). Let q be (3\/(-5))\/(j\/(-5)). Suppose -2*g - y + 128 = 0, -3*g - 85 = -q*y - 286. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6029422839 to the nearest integer?\nAnswer: 1820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + (-3 + -2 - -10 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0\/t)**31)**(-45)*(t\/t**0)\/t**(2\/15)*t**(3\/4)\/t**2 assuming t is positive.\nAnswer: t**(83677\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**2*k)**(-22))**(-10\/13)*((k\/(k\/k**(-1\/3)))\/(k**(-3\/5)*k))\/(k\/(k**(2\/7)*k))**(-46) assuming k is positive.\nAnswer: k**(73459\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 8*u + 8. Let n = 15 + -19. Let j be d(n). Let c = -3 + j. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.06. Which is the biggest value? (a) 3 (b) y (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = -20*d + 48 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 17*c**4 - 6*c**2 + 24. Let i(t) = 148 - 173 + 7*t**2 + 0*t**2 - 18*t**4. Let a(f) = 6*i(f) + 7*q(f). What is the first derivative of a(m) wrt m?\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215427190369 take away 102?\nAnswer: 215427190267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -10, -6, -67, 0, -3 in decreasing order.\nAnswer: 3, 0, -2, -3, -6, -10, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/22140 and 53\/162360.\nAnswer: 487080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*d = 102*d - 916. Let g = -447 + d. What is the smallest common multiple of g and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.7, 1\/29, 5, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Solve 0 = -y + p*a + 3*a + 21, -4*a - 12 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 14) to base 16\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8008 and 6671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50266115?\nAnswer: 5, 19, 529117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -56706804 divided by -14\nAnswer: 4050486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 5?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**3\/3 - 8*o**2 - 16*o + 191. Let z be 1 + -3 + (-1 - 12). Let r be n(z). Let q(b) = -4*b**3 - 2*b**2 + 1. Give q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -y - 4*j + 3, 3*j - 9 = 0. Suppose y = 7*b + b - 24. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32693 + 62314. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44892, -44886, -44878, -44868, -44856, -44842?\n\"Answer: g**2 + 3*g - 44896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 + 3*x**2 + 3*x**2)*(-116 - 355 - 841 - 454) to the form m*x + o*x**2 + u and give o.\nAnswer: -12362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1962*t - 4*t**3 - 4*t**2 + 4*t**2 + 1998*t = 0 for t.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 8*v = 5*m + 11, -5*v + 27 = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13197971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/9, -189, -121, -0.1?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, c: 2}. Give prob of picking 3 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 177120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1855, 1858, 1871, 1900, 1951, 2030, 2143?\n\"Answer: j**3 - j**2 - j + 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 863046 - 863044. Factor -22 + 5\/2*h**b + 54*h.\nAnswer: (h + 22)*(5*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 - 24. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -58. Solve 3*s = 3*l + j*s + 9, -8 = l - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-8))\/((-2)\/(-8)*15))\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20087\/606 + 199\/6. Which is the nearest to -0.1? (a) l (b) -0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 3098*u + 37327. What is v(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167202 and 756?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83510368167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -227920*i**3*u**3*x + i**3*x**2 - 2*i**2*u**3*x**2 + 129*i**2*u*x + i**2*x**2 - 2*i**2*x - 2*i*u**2*x**2 - 14 wrt i?\nAnswer: -1367520*u**3*x + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.3 - 0.3. Let v = y + -4.000045. What is v rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 10:15 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 4*h**3 + 8*h**3)*(-2*h**2 + 5*h**2 - h**2).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/8132 and -11\/38?\nAnswer: 8132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 - k**2 + 2*k - 1. Suppose -3*i + 35 = -46. What is the remainder when i is divided by g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4294646l in millilitres?\nAnswer: 429.4646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 179. Let w(b) = 4*b**2. What is o(w(y))?\nAnswer: -32*y**4 - 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.679 - -1.1184. What is x rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/5)\/((-5)\/(-100)) - (3 - -2). Solve -14*c + 13*c = -4*t + 21, -4*t + 1 = f*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = -5*h + 5, -3*h = 2*q - 12. Let v = q - -4. Is v bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 76*i + 76. Let y be z(37). Solve 3*g = y*g + 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 24 = 3*i, -4*i - 46931 = -j - 46953 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-15) - (-1)\/5. Suppose -4*q = -o*q - 7. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/9 of a day in minutes?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/((-2)\/2) + (-10 - -8). Suppose -g*m - 306 = -18*m. Is 50 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1\/5 (c) 19 (d) -2\/7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(1\/36467) - (-109)\/(-109).\nAnswer: 2, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51b (base 14) to base 12.\nAnswer: -6b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-15)*2\/(-2). Let c(u) = 11*u - 12 + 5*u**2 + 9*u + 0*u**o - 13*u. List the prime factors of c(-8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15245 (base 6) in base 5?\nAnswer: -34402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 4*a + 2. Let i(c) = -c**2 + 7*c + 4. What is 11*d(l) - 6*i(l)?\nAnswer: -5*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 474 - 476.03. Let d = i - -0.03. Let h = d + 3. Which is the biggest value? (a) h (b) 5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 18*g + 7. Suppose 5*a - 2*j + 20 = 0, -a + 2*j = 3*a + 14. Let b be n(a). Solve 5*x = 4*r + 16, -8 = 2*x - b*x + 2*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6685*n**2 - 2226*n**2 - 2226*n**2 - 2231*n**2 + 2 - 2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzdswwpzpdpgdpwpsp. What is prob of picking 2 p, 1 g, and 1 s?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4094 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: Let s = 40721\/7 - 5813. Factor -6\/7*n**2 - s - 36\/7*n.\nAnswer: -6*(n + 1)*(n + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/120 - 3*n**5\/20 + 7*n**4\/24 - 2*n**3\/3 - 2*n**2. Let i = -26 + 39. Is k(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 107379 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*b + 0)*(-3950*b + 7890*b - 156 - 3947*b) + 3*b**2 + b - b.\nAnswer: 17*b**2 + 312*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (7 - 11) + 21 - 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/11561 and -17\/7357?\nAnswer: 80927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - -145?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 28 + 576\/(-24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 2:06 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 1 + 2*c**2 + 3*c**2 + 1915*c**4 - 839*c**4 - 828*c**4 - 3*c**3 - 2*c to l*c**2 + r*c**3 + f*c**4 + p + x*c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 365498407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37764, 62601, 87438?\nAnswer: 112275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + sqrt(612) + sqrt(612) + 2 + (sqrt(17) - (sqrt(51)\/sqrt(3) + -5)))**2 + 0.\nAnswer: 156*sqrt(17) + 2909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-8)*(-4)\/(-6). Let c = -18 - -18.01. Let w = c + -1.01. What is the closest to w in 3, -2\/3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 170\/11 (c) -1 (d) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {j: 4, f: 1, v: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -17. Let a = 32.857 + -33.157. Put a, 0.4, l in increasing order.\nAnswer: a, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(80)*-2*-4 - (sqrt(80) + 0)*4) + (3*(sqrt(80) + -5*(3 + sqrt(80))))**2)*-2.\nAnswer: -108360 - 34688*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 105*m - 31811. What is i(303)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10470\/49, -1\/473, 0.4?\nAnswer: -1\/473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3625? (a) -0.04 (b) 0.02 (c) 50\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmyymqq. Give prob of sequence yyq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 3*c - 39*c**4 + 3*c**2 - 2*c**2 - 1 + 4*c + 38*c**4 as a*c**3 + w*c**2 + b*c**4 + r*c + l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -1 + 0*v**4 - 2\/3*v**6 - v**2 + 0*v**5 + 0*v**3 + 0*v. Find the second derivative of q(d) wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*m**5 + 9*m**4 - 3469*m**3 - 63*m**2 + 60267*m?\nAnswer: -4740*m**2 + 216*m - 20814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.019 + -36.019. Let t = 36.00000038 + w. What is t rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 380, 377, 378, 389, 416?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-10))\/(-6*(-1)\/(-260)). Suppose 0 = -4*g - 4*u + a, -5*g + 80 = -3*u - 9. Solve 12*q = g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9581 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 56, 53, 0 in descending order.\nAnswer: 56, 53, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 5b4711?\nAnswer: -5b4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*c - 14557, 5828 = 22*c - 20*c + 4*b. List the prime factors of c.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (202 + 65 + 139)*(-2*t - 3*t + 3*t - 2*t + 4*t - 4*t + (2 - 3 + 3)*(2*t + 4 - 4) - 1 + 1 - t - t - 4*t + 3*t - 2*t + 0 + 0) to q*t + s and give q.\nAnswer: -2030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1215\/7695)\/(318\/114).\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -45. What is the common denominator of -32\/7 and 25\/l + 20\/(-40)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + g - g + (g - 4*g + 5*g)*(-1 + 1 - 2*g) + (2*g + 1 - 1)*(-1 + 3 - 1)*(-3*g + 6*g - g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1633 and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 50*v**2 - 35*v + 229. Let o be c(15). Let l = -1161 + o. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2107 - 182.\nAnswer: -181.7893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 + 230. Which is the nearest to v? (a) -2\/9 (b) 3\/8 (c) -2\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/3 + 370*u - 4344 = 0 for u.\nAnswer: 12, 543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-182)*(-245)\/(-28))\/(((-90)\/(-24))\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = 32*x - 680 - 2320. What is the greatest common divisor of x and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 11) to base 12.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + u**4 - 1 + 0*u**2 + 0*u**2 + 2*u**4 + (0*u**4 + 0*u**4 - u**4)*(-1 + 0 - 1) + 5*u**4 - u**4 - 6*u**4 + 73*u**4 + u**2 - 200*u**4 + 10213*u - 10215*u.\nAnswer: -124*u**4 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a micrometer in nanometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 2\/5 (b) 0.2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - m + 4*m)*(-4 + 3 - 1).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(8\/(2 + 2)) - -5. Suppose -k + 3*k = 3*y - 4195, -p*y + 6983 = k. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 8. What is w(16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-11)*(-13)\/117*(-9)\/2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0339436 and 323.\nAnswer: 10.9637828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80850315 a multiple of 780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625182.\nAnswer: 2, 3, 29, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/(-13) + (-2514)\/(-16341)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 57 - 10 = z + 5*u, -19535 = 5*z - 4*u - 19498 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, q: 4, f: 1}. Give prob of picking 1 q and 1 s.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/46220545 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*26\/273*28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 45195560.931?\nAnswer: 45195561.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45406602*v*x**4 - 13867*v*x**2 - 37*v*x - 1 wrt x.\nAnswer: -1089758448*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 1\/60*l**5 + 0 - l**3 - 3*l**2 + 0*l**4 + 0*l. Calculate v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 3.7?\nAnswer: 40.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 8 - 8 + (y + y + 0*y)*(-1 + 1 + 1))*(-3*y**2 + 0*y**2 - y**2) + 20*y - 4*y**3 + 3*y**3 - 9 + 10.\nAnswer: -17*y**3 + 20*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 2 + 13 - -3 - -2) + (128 - 23)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 12*i**2 + 3*i - 26. Suppose -296*h = -293*h + 33. What is the remainder when d(h) is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/(-28))\/(99\/24). Put c, -4\/7, 4 in ascending order.\nAnswer: -4\/7, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490180 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -2 - ((-54 - 9) + 68)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.94255 decades to centuries.\nAnswer: 4.494255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s = 2*s - 95 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 1, r: 4, v: 1, y: 1}. Give prob of picking 1 y and 2 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21684 (base 10) to base 3\nAnswer: 1002202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/54169760 and -29\/16480.\nAnswer: 54169760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1794915801 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*x - 220*x = -22*x + 7872 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t**2 + 125*t - 222. Determine z(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38556 divided by 9?\nAnswer: -4284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1*sqrt(425))**2 + 0)*-2 - ((4 + sqrt(17) + 0 - (sqrt(425) + 1))*-2)**2).\nAnswer: -7896 + 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -875439098 divided by 134311?\nAnswer: -6518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 - 149*v + 149*v - 837 + 2*v**2 - v**2.\nAnswer: v**2 - 619","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 0*g**3 - 350523 - 341815 + 692338.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4077799.\nAnswer: 11, 19, 109, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26455984 to the power of 1\/2, to the nearest integer?\nAnswer: 5144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.23 rounded to 1 dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 52566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 366.707 rounded to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 9}. Give prob of sequence ee.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*j - 18 = 0. Let u = 29 + -41. Let w be (-7 - -2)*7\/(14\/u). What is the highest common factor of j and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 26*k = -48. Which is smaller: -13 or k?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -287*u**3 - 12*u**2 - 11*u + 1. What are the prime factors of j(-1)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48.19 and -1176.\nAnswer: -56671.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 152617855 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909812?\nAnswer: 2, 19, 38287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = -3*q - 37, -2*u = q - 11. Suppose 15 - 16 = -2*f + x, -2*f - x + u = 0. Solve -5*a + 1 = -c, -f*c - 5*a + 3 = -10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -91, 5, -2.\nAnswer: -91, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let h(b) = -m*b + 2 - 2. Let x(n) = -2*n**2. Give h(x(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2535 - -4151. Let a be -1 - (1 + p\/(-364)). Let f = 28\/13 - a. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 2 d when four letters picked without replacement from nmnndjnddmndnnndddnn?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12871\/18 - 716. What is the common denominator of (-3 + -1 - 2)*(-27)\/(-60) and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69714, -69711, -69708, -69705?\nAnswer: -69702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 1, j: 2, i: 1, y: 2}. Give prob of sequence jxj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 5*u**2 - 5*u - 1. Let d be v(-4). Suppose -16 = 2*h - d*h. Solve 3*r + 4*q = -h, 4*q = -q - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/9 - 33\/153. Let b = -227.6 + 247.6. Let v = -0.5 - -0.3. Put s, v, 0.3, b in decreasing order.\nAnswer: b, 0.3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 12.7.\nAnswer: -1.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2024 and 422257?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2675744.9915 + -2675437.99150746. Let h = y + -307. What is h rounded to seven dps?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4708.53911 rounded to the nearest 10?\nAnswer: -4710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a - 3402193 = -4521463 + 20522100. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 2 (c) 2\/11 (d) 67321 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - g - 82 = -95, 3*y + g + 11 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2288698 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 25, 3, 12, -1, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1421 and 227911.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16384085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -5*l, 5*l - j - 2*j = -10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0734128 - -2.182.\nAnswer: 2.1085872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 3*a**4 + a**4 - 4*a**4 + 3*a**4 + 0*a**4 + (a + 4 - 4)*(0 + 0 - 2*a**3) + (-104*a**2 - 1 - 6*a + 4*a + 309*a**2)*(a**2 + 2*a**2 - a**2).\nAnswer: 406*a**4 - 4*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -622145*g + 526624 wrt g.\nAnswer: -622145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/(-34) - (-1 - (-122)\/172). Let c = -2435\/129 - h. Which is smaller: -18 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -q - 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43066, 86062, 129084, 172132, 215206, 258306?\n\"Answer: 13*x**2 + 42957*x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -331366.7497 rounded to the nearest ten?\nAnswer: -331370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 4*i**2 + 6*i + 12. Let p(u) = u**3 + 10*u**2 - 10*u + 16. Let b be p(-11). Let k be w(b). Solve 3*m - 3 - 3 = 0, -5*z = m - k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*t - 4*t**2 + 2*t**2 + 101*t.\nAnswer: -2*t**2 - 116*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.5 + -0.5. Suppose 1385 = -10*q + 1345. Which is the nearest to q? (a) t (b) 1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3616)\/9065 - ((-22)\/5)\/11. Is 1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 1 + 2 + 0*t)*((0*t + 3*t - t)*(4*t - 2*t - 3*t) - 15*t**2 - 18*t**2 - t**2).\nAnswer: 72*t**3 - 108*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 + 23*v + 4. Let o(f) = f**2 + f + 1. Let q(h) = -n(h) + 4*o(h). Let p be q(-19). Suppose p = -0*r + r. Put -1, 5, r in increasing order.\nAnswer: -1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9\/c**(3\/8)*(c**(-5)\/c)\/((c**(-3\/13)\/c)\/c) assuming c is positive.\nAnswer: c**(505\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.6. Let p = 61.0076 + -0.0076. Let l = -58 + p. Which is the third biggest value? (a) 4 (b) l (c) z (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j. Let v = j + 4. Suppose -3*i + 35 = -37. What is the highest common factor of i and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, 6, -2\/69, 2?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 2*j - 2*j - 11*j**2 + 5*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1102 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssoosossmoososoomos. Give prob of picking 3 s and 1 o.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -1.08.\nAnswer: -14.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*n - 37 = 0, -6*w + 2*w = n - 59. Calculate the lowest common multiple of w and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.067 + 0.145. Let f = z - 74.078. Let u = f + 74.06. Put u, 2\/15, -0.3 in ascending order.\nAnswer: -0.3, u, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7055 (base 10) to base 14\nAnswer: 27dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 32. Which is the biggest value? (a) 1\/6 (b) 1 (c) 2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12297 divide 2589573649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t + 6. Let i(n) = -3*n - 5. Let j(l) = 6*i(l) + 5*v(l). Let z(x) = -15*x. Let o(c) = -15*j(c) - z(c). Let h(r) = 4*r**2. Give h(o(f)).\nAnswer: 900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 8:30 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 + 1)\/4 + 18)*2. Let n = -36 + g. What is the highest common divisor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -200, -2, -5, -4 in descending order.\nAnswer: 3, -2, -4, -5, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(120) - 1*sqrt(120)) - sqrt(120) - sqrt(120))\/sqrt(4))\/(sqrt(6)*2*-3*-4).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 - -3) - (-40 + 13 + -6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) + sqrt(65)*-1 + sqrt(65) + sqrt(65) - sqrt(65))*3)\/(sqrt(20)\/sqrt(16)) + 1)*3*6.\nAnswer: 18 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*o - 9 = o, 45 = 3*p + 3*o. Suppose 4*g - 3*t + 4*t - p = 0, 0 = 5*g - 2*t - 4. Solve -2\/3*k**g + 2\/3*k + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*w**2 + 4*w**2 + 17*w**2)*(2 - 1 + 0)*(8*w - 13*w - 6*w) + w**3 - 6*w**3 + 0*w**3 to s*w**3 + p + m*w**2 + x*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1200 and 16300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, r: 1, i: 4, a: 4, m: 1, y: 1}. What is prob of picking 2 i?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 8021988 + 8021988.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1345, -894.\nAnswer: -894, 4, 1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 1.\nAnswer: (m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 14 = 42. Let j(g) = -4*g**2 - g**3 - g + 3*g + 2*g - f. Let i(r) = -6*r**3 + r**2 + r - 1. Let x be i(1). Determine j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15876, -40266, -64654, -89040, -113424, -137806, -162186?\n\"Answer: w**2 - 24393*w + 8516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 422876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, n: 2, u: 6, r: 3, h: 2}. Give prob of picking 3 u and 1 n.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19b - a45?\nAnswer: -be1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 + -75. Let z = k + -110. Is z smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9590 = -294*u + 20813 - 4237 for u.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)\/((1\/((-12)\/8))\/(-4)). Solve 244*u = 243*u + m for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 9, -155 in decreasing order.\nAnswer: 9, 4, -5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31, -37, -43, -49, -55, -61?\n\"Answer: -6*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 746957 + -390496. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 68, 179, 384, 713, 1196?\n\"Answer: 5*w**3 + 2*w**2 + 6*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -4301 in ascending order.\nAnswer: -4301, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2775797?\nAnswer: 439, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5163 + 4381. Which is bigger: g or -784?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o = 3*o - 54 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 = 3. What is the third derivative of 11 - 4*n**2 - 11 - 12*n**6 + 3*n**b wrt n?\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 p, and 1 g when four letters picked without replacement from dwgpwwdgdspnwdw.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + b - 5, 3*a + b + 15 = 4*b. Let c be a\/(1*(-6)\/3). Suppose -4*j + 3*n = 85 - 114, -5*n = 3*j. Solve c = 3*d - j*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4 + ((-38)\/(-4) - 8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1466 divided by -733\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 m, and 1 v when four letters picked without replacement from {s: 2, j: 1, v: 1, m: 2, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212 - -1?\nAnswer: -20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 606.6 - 40.6. Which is greater: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8.1. Let s be (2\/(-25))\/(-2) - 0. Let y = 6\/25 - s. Which is the smallest value? (a) 2 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 1075998*r**2 - 96480974667*r.\nAnswer: -3*r*(r + 179333)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 687333 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -764 divided by -156?\nAnswer: 191\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1. Let a(q) = 2*q**3 + 5. Suppose 22 - 2 = 2*z. Calculate z*l(o) + 2*a(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y + 10. Let w = 13 + y. Suppose r - 17 = -u, -3*r - 2*r = -w*u - 69. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 341*m - 346*m. Let r(i) = -4*i - 136. Let n be r(m). Solve n = 2*t - 6*t - 5*b + 12, -5*t + 2*b = -15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/3)*g\/g**8)**(-33)*((g\/(g\/g**(-1))*g)**(-19))**(2\/13) assuming g is positive.\nAnswer: g**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8368674 divided by -2.\nAnswer: 4184337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Suppose 4*g - 105098 = -4*i + g, -h*g = 8. Let a = i - 16576. What is a rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/8*(-144)\/20. What is the greatest common factor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 2*o. Suppose -2*j = s - 40 - 36, 0 = -3*s - 3*j + 216. Suppose 5*x + 3 = 2*x, -2*a - 2*x = -s. What is the highest common factor of o and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -2\/3*v**3 + 0*v**2 + 3*v - 1\/12*v**4 + 0. List the prime factors of g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 55170320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 24 = 15*w. Calculate the remainder when 20\/8*(1 + 5) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -49*d**4\/4 - 161*d**3\/2 - 43*d**2 - 6*d = 0?\nAnswer: -6, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1696 + 1780. What is the remainder when y is divided by (-1)\/((2*-1)\/58)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 14, -4, 134290, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - n**3 - n**3 + 4*n - 4 - 3*n**2. Let f(l) = -l**3 - 47*l**2 - 425*l - 56. Let d be f(-12). Give t(d).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 4, -1, 71?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 5:51 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 15*n**2 - 2*n + 35. Let q be m(15). Suppose 4*c + 4*f - 508 = 0, q*c - 3*f = -0*f + 659. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149223958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + g - 1. Let k(r) = r**2 + 3*r + 4. Let s be k(-4). Let i be (-1)\/(2*2\/s). Determine p(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*d - 69 + 69)*(-31*d - 7*d - 2*d)*(2*d**2 + 8*d - 8*d) to the form f*d**2 + r + k*d**3 + g*d**4 + h*d and give g.\nAnswer: 2560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*w**5\/4 - 55525*w**4\/4 + 1387995*w**3\/2 - 23341969*w**2\/2 + 307584551*w\/4 - 573022041\/4 = 0. What is w?\nAnswer: -491, 3, 73\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -725*s**2. Let n(t) = t**2 - 64*t + 193*t - 65*t - 64*t. Give a(n(r)).\nAnswer: -725*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 23*p - 1. Let o be (-88)\/(-32) - (-2)\/8. Let b(c) = 5 - 6 + 16*c + 0 - 4*c. Let x(y) = o*m(y) - 5*b(y). What is the first derivative of x(i) wrt i?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -65. Let k(w) = 4*w**2 - 5*w - 3. Is k(t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**8\/56 - g**4\/6 - 6*g. What is the third derivative of z(c) wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32299*k**4 + 2*k**3 - k**2 - 3878.\nAnswer: 775176*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-2632)\/280 + 1 + 9).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 7, p: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 s when four letters picked without replacement from sscscssqgsqsccccc?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/12*-6 + -2. Solve f*o = -3*s + 12, o - 6*o = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-2)\/(-8)*(-502)\/11797*-564.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4412218, 4412221, 4412224, 4412227, 4412230, 4412233?\n\"Answer: 3*l + 4412215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57837556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11219268 to the power of 1\/2, to the nearest integer?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 356 = -400. Let r = -296 + 305. Is (-2 + 1488)*(o\/6)\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 3*d + 5. Suppose 0 = -5*w + 13 + 7. Suppose w*g - 20 = -3*l, 5*g + 6 + 0 = 4*l. Let j be i(l). Sort -2, -1, j in increasing order.\nAnswer: -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57880010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*x**5 + 5*b**2*x + 2*b + 11*x**5 + 2*x wrt x?\nAnswer: 20*b**2*x**3 + 220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14981429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 14*h**2 + 2493*h + 107481. Determine j(-105).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56900009*u + 38871212.\nAnswer: 56900009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 443.39 to 0 decimal places.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6296592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldll when four letters picked without replacement from dvllllpxlldddldlldl?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37 - 207531.\nAnswer: -207530.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 2*j - 10. Let c be l(7). Let y be 245\/c - 1\/(-5). Let x(b) = 4*b**2 - b + 1. Let n be x(1). Solve 2 = -n*d + y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(204)*-3)\/((-4*sqrt(144))\/sqrt(12))*-1.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s + 29. Calculate k(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37, 121, 271, 499, 817, 1237, 1771?\n\"Answer: 2*b**3 + 21*b**2 + 7*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.3. Let a(j) = j - 1. Let g(n) = n - 1. Let o(k) = 3*a(k) - 4*g(k). Let x be o(-3). What is the closest to -1 in 0.1, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 130719858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 + 5 + 10 - (-22 - -14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 7*r**2 - 6*r - 1. Let c be p(5). Suppose -122 - 186 = -14*z. What is the first derivative of -z + 9*t + c + 14 wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -166?\nAnswer: 165.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3, o + 234 = -4*h - o. Let t = -61 - h. Suppose -2*g + 3 = 17. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -0.4. Let c = i - -0.3. Let k = 2\/53 + -57\/106. What is the closest to 0.1 in c, k, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.21 + -2.122. Let c = -2.988 + t. Round c to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/928330 and -3\/1930?\nAnswer: 928330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(0*f - 4*f + 5*f)*(-3 - 1 + 2).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -17 - (-4 + -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*z + 353*z + 360*z = 1076*z + 2622 for z.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 123 + 41. Factor -a*j + 21*j - 3*j**2 + 26*j.\nAnswer: -3*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - y - 187 = 0, 2*r - 5*y - 98 - 85 = 0. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 11*g - 19. Let m be f(-8). What is the derivative of -2*q**2 + 0 - m - 2 - 1 wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.188 less than -1.438938874369?\nAnswer: -1.626938874369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25683 divided by 411\nAnswer: 8561\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67797*l**2 + 134604*l**2 + 288846*l**2 - 14023*l**2.\nAnswer: 477224*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3522)\/47 + 1431255\/(-6063) + 236?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -2\/5 (c) 29 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100000110001011?\nAnswer: 100000110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141704 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**2 - 10000*k + 29955 = 0. What is k?\nAnswer: 3, 1997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 24. Let b be a(21). Solve 0*m + b = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -19*m**3\/2 + 23*m**2 + 19*m - 2. Differentiate h(x) with respect to x.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*n + 12 - 44, 0 = -s + 3*n - 5. Suppose s*m + 0*m - 8 = -4*w, -4*w + 8 = -5*m. Which is greater: 1\/39 or m?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, u: 2}. Give prob of picking 1 u and 1 t.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -16\/3, 0.195, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-6 + 12) - 7 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.3, 4, -1724982?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 36*z + 113. Calculate l(-32).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - q + 43 = 0, -2*s - 12*q = -6008 + 5376 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 30356, -3, -3002 in ascending order.\nAnswer: -3002, -3, 30356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101477 - 0.0585713\nAnswer: -101477.0585713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2*s + 126*o**2 + o*s*z - o + 97512*s*z wrt o.\nAnswer: 4*o*s + 252*o + s*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(66\/55 - (5 - 4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-371)\/(-28) + (-9)\/36. Find the second derivative of -77*j - 165*j**4 + t*j - 54*j wrt j.\nAnswer: -1980*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k - 2. Let i(w) = w**3 - w**2 + w + 2. Let v be i(0). What is d(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(23\/(-3) + 6). Suppose 0*s + 4*z + j = s, s = -z. Which is the third biggest value? (a) 3 (b) 11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569664?\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(68)*-1 + sqrt(68) + (0 + 2 + sqrt(68))**2.\nAnswer: 8*sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 260611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - 2) + (14 + -7 - 9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221220220010022 (base 3) to base 4.\nAnswer: -310203102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5651473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:14 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1062162 and 1380?\nAnswer: 244297260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(sqrt(1872)*-1)**2 + sqrt(52)*-1 + 4).\nAnswer: -16836 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 27997 = 264283. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.7 - -12.7. Let l = 186 - 152. Sort -0.5, t, -0.2, l.\nAnswer: -0.5, -0.2, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 + -117. Let r be 2*1 - (-51 - f). Suppose 0 = -3*w + 7 + 2. What is the greatest common factor of r and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1, -2, 9459 in decreasing order.\nAnswer: 9459, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 4. Let u be l(6). Let i = 2 + u. Let r = -2 + i. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l + 13. Let j be n(-2). Let r = -256 - -1023\/4. Let f = -6 - -7. What is the nearest to j in r, -5, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 29 = -16*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -263777691 divided by 3\nAnswer: -87925897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 640374 > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97085.\nAnswer: 5, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20511 + -20512. Let r(x) = -15*x**3 - x**2 - 3*x - 1. Give r(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 12 - 73) + 5 + 18\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0829 less than 0.5?\nAnswer: 0.4171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162289 is divided by 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/13))\/q**(-16)*q**(5\/4)\/((q**9*q*q)\/q) assuming q is positive.\nAnswer: q**(437\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258 divided by 9?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*v + 14564, -5*v - v = -7*v. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) -2\/9 (b) -1.8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = f. Suppose -4*i = 5*k - 14, f*i - 4*k + 0 = -6. What is the units digit of (-3)\/((-3 + i)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 11) + (-117 - -153) + (0 - 7)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 6:19 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w - 13 + 44 + 25*w - 56*w.\nAnswer: -w + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-14)*(-5 - (-17)\/2). Suppose 0*v + 5 = -w + v, 0 = v + 5. What are the prime factors of ((-828)\/w)\/r*5?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -11*n**3 - n - 3. Let l(x) = 46*x**3 + 5*x + 14. What is 4*l(u) + 18*q(u)?\nAnswer: -14*u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231*(-22)\/231 + (-2840)\/129.\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.6, -0.1, 4.\nAnswer: -0.6, -0.1, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let s be (-33)\/(-105) - m\/5. Let j = -7 + 8. Which is bigger: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m + 205 + 23 = 13*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 3*f + 2. Let n be y(-3). Find the second derivative of g**5 - 3*g - 2*g**5 + 2*g**2 - n*g**2 wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7062057 is divided by 1321.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.425 - -5.575. Is -21 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001000 - 1011?\nAnswer: 1111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011 - -10?\nAnswer: -10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - 2*q**2)*(-4*q + 4*q - q**2) - 5 + 3*q**4 + 5 + (0*q**3 + 2*q**3 - 3*q**3)*(-3*q + 4*q + 0*q) + 2*q**4 + 4*q**4 - 4*q**4.\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24320 + -24320.1. Let g = -0.1 - -1.1. What is the closest to g in -4\/3, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -6*g**4 - 305496*g**3 - 20153295*g**2\/2 - 184558407*g\/2 - 146695689 = 0.\nAnswer: -50883, -31\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**2\/2 + 1. Let k(b) be the second derivative of -b**3\/6 + b**2\/2 - 15*b. Calculate i(m) + 2*k(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 225*r - 484*r - 125 + 86*r**2 + 5*r**2 + 259*r as c + s*r**2 + l*r and give c.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -735\/4 + 2985\/16. Find the common denominator of g and 73\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83.8? (a) 14 (b) 1\/2 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**7\/70 + 5*o**4\/24 + 6*o**2. Find the second derivative of y(d) wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 11*k - 13. Suppose 5*d + 1 = 4*x, k*d + 3*x = -5*d - 8. Is -1\/153 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 2*g - 400. What is the highest common factor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14965438 divided by 2\nAnswer: 7482719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73468 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -84. Let w = -33.4 - -33. What is the third smallest value in -0.04, w, h, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/5 and -7\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1088169, 2176338, 3264505, 4352670, 5440833, 6528994, 7617153?\n\"Answer: -s**2 + 1088172*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 5*k**2 + 13*k + 11. Let y be d(7). Which is the closest to 1? (a) 13 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67\/2 in -1, -2\/9, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(1\/42))**(-43)*(q**(-2)*q*q\/q**2)**(1\/6) assuming q is positive.\nAnswer: q**(-33\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 8*o**2 - 3*o + 15. Give k(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 2*w. Let u(d) = 2*d**3 + 6*d**2 + 12*d + 3. Let n(c) = 6*f(c) + u(c). Let x(j) = -j**3 - 2. What is -5*n(y) - 7*x(y)?\nAnswer: -3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 596411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - v = -57, 2 = -v + 5. Suppose -17*y + 19*y = -8. Calculate the lowest common multiple of (-46)\/y + (-5)\/(-10) and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43375030*u**2 - 43375028*u**2 + 3*u**3 + 86750058*u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 207012 (c) -0.3 (d) -1 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196) + -2*sqrt(196)*3)\/(2*sqrt(252) - sqrt(252))*-6 + 0.\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.87 - 6.2. Let i = 8.82 - 6.8. Let p = i + w. What is p rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 + -0.2.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + u - 4*u - 199, u = -4*k + 166. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -50*x**3 + 12*x**2 + 2*x - 5. Let t(z) = -150*z**3 + 38*z**2 + 6*z - 15. Calculate 19*p(j) - 6*t(j).\nAnswer: -50*j**3 + 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1254.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -647 smaller than -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 522\/4 - 1\/2. Suppose -64 - n = -2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 1862585*g**2 - 173458350200*g - 520391814000.\nAnswer: -5*(g - 186260)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1))\/4 + 0. Let m(l) = -4*l + 71. What are the prime factors of m(v)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2728 - 2728 - 4*p**3 + 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - 1.176. Let u = m - 2.924. Which is the nearest to -1? (a) u (b) -11\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 3055\nAnswer: -6\/3055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95718 or 478588\/5?\nAnswer: 95718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -280491, -280496, -280509, -280536, -280583?\n\"Answer: -c**3 + 2*c**2 - 4*c - 280488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - 1479464 + 1479464.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -29. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 9*n + 0*n)*(0 + 1 - 5).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.02 + 0.18. Let q = -2.2 + x. Is -0.08 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 360*a + 24588. Calculate m(-88).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-70) - (-132)\/(-21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 82 - 580 = 0. Let w be ((-15)\/(-10)*1)\/((-2)\/(-4)). Suppose 0 = w*m + m + 5*r - u, -2*r - 270 = -5*m. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140790 and 266.\nAnswer: 985530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22486305900 rounded to the nearest 1000000?\nAnswer: 22486000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -983016 take away -7.405463?\nAnswer: -983008.594537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60.2 + -4. Let x = c - 56. Let k = -0.16 - -0.2. Is x <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32284*d + 32741*d = 24221 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*(-3)\/(36\/(-16)). Suppose 0*y + n = 4*y + 2*s, 3*y - 12 = -3*s. Suppose y*l = t + 104, -135 = -5*l - 2*t + 116. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100\/6 + (-72)\/(-54). Suppose -4*o + 4 = 5*p - 22, -m = -4*o - p. Let q(c) = -1 - 2*c + 4*c + 0*c. Give q(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -12. Let i = 51 - 41. Find the second derivative of m**3 + v*m**3 + i*m - 7*m**3 wrt m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m - 31. Let d be w(-6). Let g be (-138)\/(-33) - (-1 + d). Is 1 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 57.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.25 + 0.25. Let d = 0.4 + -0.6. What is the third smallest value in n, 7, d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -77. Solve 9*i - z*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-45)*15\/28*-1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/4, 3, -10.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 22*i - 9*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -i + 3*g, i - 26 = -2*g + g. Let j = -19 + i. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {s: 1, v: 2, g: 2, u: 6}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3610, -7418, -11226, -15034, -18842?\nAnswer: -22650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, w: 5, u: 1}. Give prob of picking 3 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1083*f + 2167*f - 1090*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/2 + (-855)\/(-76).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(1088) + 2*sqrt(1088)*-3 + sqrt(1088) - ((sqrt(1088) - (sqrt(1088) + sqrt(1088)*1 + 0))*-6 + 1).\nAnswer: -64*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85624 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 14*q - 2. Let m(v) = -4*v**2 - 29*v + 5. Let a(c) = 2*m(c) + 5*s(c). Let x be a(-3). Find the common denominator of 122\/10 + x\/90 and -52\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 692, 1428, 2192, 2984?\n\"Answer: 14*d**2 + 694*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 894971585 to the nearest integer?\nAnswer: 29916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - h = -532, 3*j - 2*h - 314 = -0*h. List the prime factors of j.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-266)\/(-399)*(-690)\/8*4*3\/(-15)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34081448 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 - 4*q**2 - 16*q + 5*q**3 + 15*q. What are the prime factors of b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 12.999675. What is r rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from wqswwqwswqqqwqwqws.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -18 - 0. Let g be (b\/8)\/((-6)\/(-16)). Suppose -4*k = -d + 47 - g, -120 = -5*d + 3*k. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.09. Let b = -1.99 + o. Let y = -1.98 - b. What is y rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2, 2, 8?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**41*v)\/v)\/(v\/(v*v**(4\/3)*v*v*v)) assuming v is positive.\nAnswer: v**(-107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w**2 + 5*w - 6. Let p = 4 - 0. Let c be m(p). Is 48\/5 + c\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/2))*f**6)\/(f**8\/f*f**7))**40 assuming f is positive.\nAnswer: f**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/340 and 125\/102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((19312\/(-3978) - -5) + 4\/(-18))*1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*l = j - 3, 2*l = 0. Suppose -5*t + j*d = 397, 2*t - t = 4*d - 76. Is -6*(-3)\/(-6) - t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.029 in 681, -0.141, -1\/3?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.035 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 8*p - 7. What is v(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2415846.6ns?\nAnswer: 0.0000000279611875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 337388940 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4481 + -4481.082. What is the biggest value in j, 0.3, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 6, w: 10, m: 2}. Give prob of sequence mw.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3. Suppose 3*j - 17 + 2 = d. Let w be ((-2)\/6)\/((-2)\/(-15)). Which is the second smallest value? (a) j (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghmg when four letters picked without replacement from ggghxhghxmmhmm?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2378 and 65\/18.\nAnswer: 21402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 225785*g**2 + 3*g**5 - 2773*g + 225137*g**2 + 2 wrt g.\nAnswer: 60*g**3 - 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - 88. Suppose 0 = -3*k - 2*k + 10. Suppose n = -g + 37, x*n - 68 = k*g - g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*c**6 + 2*c**5 - 15*c**4 + 13155*c**2.\nAnswer: 2520*c**3 + 120*c**2 - 360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74958445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/7*(-35)\/10*1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 618072843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -30178909 less than or equal to -30178911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2091502 is divided by 1251?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {y: 3, q: 1, x: 4, p: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2909796 millilitres to litres.\nAnswer: 0.0002909796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in -2, 4, -0.59, 13, 0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4525 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5869370.7s in days?\nAnswer: 67.93253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2809, 11341, 25569, 45499, 71137, 102489, 139561, 182359?\nAnswer: 230889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74)\/(-14) + 28\/(-98). Let z be 135\/55 + -4 - (-6)\/11. Put f, -4, 1, z in increasing order.\nAnswer: -4, z, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*s + 4. Let r(f) be the first derivative of f**4\/4 + f**2\/2 + f + 2. Let t(b) = b**3 + 3*b + 1. Give s*t(m) - 3*r(m).\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 137\/5 and 26 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00152633127 rounded to seven decimal places?\nAnswer: 0.0015263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -0.3. Let c be 2*(1 + 10\/(-12)). Let d = 971\/7 + -139. What is the closest to d in c, 5, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/9 and -67\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 32, -7.7, 2, -2\/5, -2\/9, 5?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:36 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-10)*1)\/((33\/(-176))\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.54.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 141)\/(6328\/704 + -9). Suppose 313*h - 305*h - p = 0. What are the prime factors of h?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112 - 9*x**4 + 2184*x**3 + 112 + 10*x**4 + 332*x**2 + 992*x**3 wrt x.\nAnswer: 24*x + 19056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2494781 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 20 = 5*n. Suppose 4*d - 5*r = -r + 264, n*d + 2*r - 337 = 0. What is the remainder when d is divided by (34\/(-3))\/((-2)\/3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 - 5*y - 3. Calculate i(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14935.95 rounded to the nearest one hundred?\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/3 + 9*r**2 + 101*r. Let z(m) = -2*m. Determine z(l(d)).\nAnswer: -4*d - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91.4 + -91.59. Sort p, -0.1, -0.5 in ascending order.\nAnswer: -0.5, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31139973 to the power of 1\/2, to the nearest integer?\nAnswer: 5580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.1806 to one decimal place.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - -7 - (-3 + 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8774042*u + 8768265*u + 4 - 4 to p*u + o and give p.\nAnswer: -5777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 196 + 12?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35546171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 1)*(18*v**4 + 2*v**4 + 4101*v - 3296*v) as i*v + w*v**3 + u*v**2 + s*v**4 + n and give i.\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m. Let d(t) = -3*t**3 - 3*t**2 - t + 2. Suppose -4*g - 18 = -2*r + 2, 5*r = 20. Let y be d(g). Let x(z) = y - 59 - 2*z**2. Determine p(x(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0727 times -9\nAnswer: 0.6543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15591, 15633, 15675, 15717, 15759, 15801?\nAnswer: 15843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*n = -2, 0 = -4*k + 4*n - 2 - 38. Let r = k - -11. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1432037977 to the nearest integer?\nAnswer: 37842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.527179km in micrometers?\nAnswer: 527179000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -14, 2, 3 in decreasing order.\nAnswer: 3, 2, 0.22, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/585)\/(3\/(-30)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, o: 5}. What is prob of picking 3 p?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5, -7*z - 30 - 1 = -4*p - 18 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3679*u - 3680*u - 4*w - 23 = 0, 2*w + 25 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2 - 3167810*a - 40459472?\nAnswer: -4*a - 3167810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12\/42 - 309*(-4 + 332\/84)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 26*z**2 - 56*z - 4. Calculate q(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 53482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-1\/3)))**50 assuming g is positive.\nAnswer: g**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 94*d**2 - 210*d + 1640. What are the prime factors of n(8)?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o. Let a(k) = -39*k. Determine a(m(w)).\nAnswer: 234*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/588*(-42)\/9?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 - -173.2. Let p = -8 - -11. Which is the nearest to 1? (a) h (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-256)\/(-6) + 2\/(-3). Let q be (-4)\/(-3)*231\/22. What is the highest common divisor of q and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-4) - -1)\/2. Let o(l) = l**2 - 3*l + 7. What is o(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438859573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 40 = -4*s. Sort s, 8, -4.\nAnswer: s, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4310.141 micrometers?\nAnswer: 0.4310141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 bigger than 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1869*n**3 + 189*n - 4*n**2 + 4*n**2 - 335*n + 144*n.\nAnswer: 1869*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2540*d*y**5 + 12*d*y**4 - 34*d*y + 7*d - 2*y**2 - 6*y wrt y.\nAnswer: 152400*d*y**2 + 288*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 3*a - 2. Let m be i(2). Suppose -9*h + 5*h + 20 = m. Suppose -h*v = -322 - 2823. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/101)\/(f\/f**(-1)*f))\/(f\/f**(-34)*(f\/(f**(11\/6)\/f))\/f) assuming f is positive.\nAnswer: f**(-22511\/606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -18*f + 2. Let c(l) = -l. Suppose 3*h + 8 = 4*u + 24, 2*u + h - 2 = 0. Let i(a) = u*c(a) + w(a). What is the first derivative of i(y) wrt y?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -0.7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 353, 2, 7, -2 in decreasing order.\nAnswer: 353, 7, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -0.5, 1, 2\/19 in decreasing order.\nAnswer: 1, 2\/19, -0.5, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184936 and 161819.\nAnswer: 1294552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -420 (base 5) to base 3\nAnswer: -11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2078016\/288*(-1 - 33\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0, -5, -2, 8\/7, 1\/4, -0.0677?\nAnswer: -0.0677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-2))\/(5 + -3). Let f be -53 - -4 - (b + 1). Let a = f + 109. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182 - 85. Suppose 2*b + 33 - m = 0. What is the greatest common divisor of b and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -1) + (122 - (198 - 94)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/565594 and 87\/5655940.\nAnswer: 5655940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45026?\nAnswer: 2, 47, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152.45 - 2372.6398.\nAnswer: -2220.1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 13 = 42. Solve 0 = -3*i - o + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l**2 - 1 - 8*l + 0*l**2 + l + l**2. Let n(j) = -9*j**2 + 6*j + 1. Let f be (-2 + 1)\/((-3)\/(-21)). Let s(q) = f*n(q) - 6*z(q). Determine s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, p: 6, n: 4, t: 4}. Give prob of picking 2 n.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.529 rounded to one dp?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 4, n: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38465902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -20*c**5\/21 + 154*c**4 - 41668*c**3\/21 + 55416*c**2\/7 - 53136*c\/7 - 21312\/7 = 0.\nAnswer: -3\/10, 2, 6, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 5:56 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -252574.\nAnswer: 1\/252574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -3*o**5\/40 - o**4\/4 + 2*o**3 + 5. Let q(v) be the third derivative of w(v). Let n(t) = -8*t - 5. What is 6*n(b) - 5*q(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10519*b**2*g**3 + 6271*g**3 wrt b?\nAnswer: -21038*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -69. Suppose -2*k - 454 = -5*z + d*k, 2*z + 3*k = 200. What is the remainder when z is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let m(y) be the second derivative of y**3 - 5*y. Calculate m(u(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -185, -152, 35, 430, 1087, 2060, 3403?\nAnswer: 5170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -529 - -4?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**5 - 8*p**4 - 65*p**3 - 2*p**2 + 139*p + 3 wrt p.\nAnswer: -300*p**2 - 192*p - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -1\/3*z**3 - 11*z + 7 + 15\/2*z**2. What is the units digit of l(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4581, 10103, 15625, 21147, 26669?\nAnswer: 32191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 650 - -1325117?\nAnswer: 1325767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.065 + -43.065. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62239 and 3997?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17729 * 3.\nAnswer: -53187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207815161 less than -4.28?\nAnswer: -4207815165.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -24?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193 is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 302\nAnswer: -13\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2 + t. Let q(d) = -7*d - 5. Suppose 0 = 2*i - 29 + 33. Let o be q(i). Let r = o - 8. What is l(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 0\/(-2) - 1. Let v(x) = x**3 - 10*x**2 + 8*x + 11. Let t be v(9). What is the third derivative of -u**n + 3*u**6 + 2*u**t - u**6 wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvvvbuccbvbvbvvc. Give prob of picking 1 u and 3 b.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3.136, -30 in ascending order.\nAnswer: -30, -3.136, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1950*f**3 - 5455*f**3 + 3507*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 + ((-360)\/25)\/(-4). Let t be ((-1253)\/(-2))\/7 + (-2)\/d. What is the tens digit of -3 + 20\/(-5) + t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/14330 and 119\/1930.\nAnswer: 2765690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/15 - 4\/(-6). Suppose 0 = l*f - 9*f - 5*t + 20, -4*t - 40 = -4*f. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35260 - 105778\/3. Factor i*l**5 - 20\/3*l**2 + 14*l + 2*l**4 - 6 - 4*l**3.\nAnswer: 2*(l - 1)**3*(l + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose -p*w + 58 = -w + 3*l, -72 = -2*w + 4*l. Let r = w + -253\/8. Put r, -2\/13, -0.3 in descending order.\nAnswer: r, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 12. Let h = x - -9. Suppose -3*g + 15 = 3*c, -h*g + 2*g = c - 1. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 - 4 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 233*s + 2333. What is u(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**3 + 1776*l**2 + 39*l + 8686. What is g(-222)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*l + 33666 = -78*l - 164*l - 27*l for l.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q + 7. Let m be w(-2). What is the third derivative of -13*c - 6*c**6 + 4*c**5 - 17*c + m*c**2 - 23*c**2 wrt c?\nAnswer: -720*c**3 + 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8*m + 60 = 0. Suppose -x = -j + 4*x + m, -4*j - 3*x - 9 = 0. Let q(w) = j*w + 2*w + w. Let v(k) = -2*k**2. Determine q(v(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7095638?\nAnswer: 2, 11, 23, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -73, -88, -121, -178, -265, -388, -553?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8461 is divided by 201.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 1\/3 (c) 1\/4 (d) -9\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 b when four letters picked without replacement from abbbbbab.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/3 + p**2\/2 - p - 1. Let n be l(2). Solve a = -3*x - 13, a - 2*a = -n*x - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72 + (7 - (15\/(-5))\/(-1)). Let n = 81 - i. Solve 0 = z - n*z - 5*a - 13, 3*z - 5*a + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 10 = 5*x, -3*y - 2 = 2*x - 2*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753 = 87*z - 579 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -247120.245 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, v: 7}. Give prob of picking 4 t.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*b**2 - 215 + 110 + 105.\nAnswer: 132*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 25. Suppose -y*o - 5971326 - 1467499 = 0. Let v = -932235 + o. What is v rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*q + 5*b - 11 = 68*q, 0 = -3*q + 5*b - 12. Put q, 0, 4 in increasing order.\nAnswer: 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 7*x**2 - 5*x + 7. Calculate m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7729, -7318, -6909, -6502, -6097, -5694?\nAnswer: -5293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459858 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*c + 919 = 14*c - 1129 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2303 is divided by 459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(sqrt(504)*3)\/(2*sqrt(800) + sqrt(800)))**2.\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865240.\nAnswer: 2, 5, 13, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 77. Let q(r) = -4*r. Give i(q(y)).\nAnswer: -16*y + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011000000101101111 (base 2) to base 13.\nAnswer: -18a71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3130\/27, -0.3, -2\/21?\nAnswer: -3130\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-21)*(-3 + 1). Let q be 19\/(988\/(-288)) - (1 + -5). Let t = q + -11\/52. Which is the closest to -2\/7? (a) t (b) 4\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - 2*q + 6, -4*p - 3*q + 13 = 0. Suppose -b - p*b = -545. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 - 246*i**4 - 4482*i**3 + 23916*i**2 + 36165*i - 55350 = 0 for i.\nAnswer: -45, -41, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 2 - 2)*(-6 + 1 + 4) - 5 + 3 + 4)*(7*x**3 - 7*x**3 - 4*x**4) in the form g*x + q*x**4 + j + i*x**2 + k*x**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 15 = 5*a. What is the smallest common multiple of a and (1 - 19)\/(5 + -7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1024\/32)\/64*2 - (-4)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.641109 months to centuries.\nAnswer: 0.0230342575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1.5. What is the nearest to -0.1 in 0.4, c, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 3*i + 2. Let u be l(-2). Let s = u - 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55209*l*m**2*z**2 + 11*l*z**3 + 1362*m**2*z**3 - 222*m**2 wrt l?\nAnswer: -55209*m**2*z**2 + 11*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 17 - 11 = 0, 2*l - 39 = 5*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4177, -17242, -39017, -69502, -108697, -156602?\nAnswer: -213217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 37538*q**3\/5 - 451552*q**2\/5 + 2632*q - 96\/5 = 0. Calculate q.\nAnswer: 2\/137, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2 - 13. Suppose -3 = w*n - 53. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {d: 2, g: 1, v: 7, s: 7}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) - (2210\/(-180) - -10). Let g(o) be the first derivative of 1\/4*o**4 - h*o**2 + o**3 - 4 - 3*o. Give g(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/2 (b) 3 (c) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 7*x + 7. Let g(j) = -j**2 - 7*j - 8. Let c(u) = -4*g(u) - 5*v(u). Give c(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1625, 131, 1 in decreasing order.\nAnswer: 131, 1, -4, -1625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18177164462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43a2 (base 11) in base 3?\nAnswer: -21221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 183575000 rounded to the nearest one million?\nAnswer: 184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376832099 to the power of 1\/3, to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = 420. Let q be 16\/40 + 1*178\/z. Is q smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oll when three letters picked without replacement from {l: 14, o: 4}.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(24)*1)\/(sqrt(243) - -2*sqrt(243)).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*x = -4*h - 10, 2*h + 40*x + 204 = 3*x - 11*x for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*p**2 + 2 + 4 + 51*p**2 + (6*p - 4*p - p)*(-4*p + 0*p + 3*p) to c*p**2 + x + a*p and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 300 - 25 = -68. Are w and 4\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/42005227 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/20 and -67\/42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*f = 16*w - 412*f + 304, -6*w - 4*f = 114 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95\/158 + 8\/79. Let i = -12991\/2 + 6747. Let x = -241 + i. Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -h - 7 + 1, 2*h - 5*u - 2 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d50c5 (base 14) in base 2?\nAnswer: 1111101010100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*g + 3*g + 71, g + 2*a + 17 = 0. Let m = g + 25. Calculate the remainder when 1\/1 - -2*m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (3 - (-32 + 24))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l = 12*l + 28404 - 27458 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*q**3 + 24*j**3 + 72*j**2 - 38647*j*q**4 - 36*j wrt q.\nAnswer: 3*j**3*q**2 - 154588*j*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*z + 783 = 0, -2*x = -3*z + 4*z + 1538. Let f = x + 766. Let h = -0.1 + -0.05. Which is the nearest to f? (a) -0.4 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4462156 (base 7) to base 13\nAnswer: 16492c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-5))\/(10\/225). Suppose 0*c = c - l. Solve 0*i - 2*i = 4*o - c, -i + 11 = 3*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*y + 144 = 0, -3*p - 3*y - 2*y - 137 = 0. Let o(q) = q**2 + 40*q + 71. What is the smallest common multiple of o(p) and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -618 + 2228. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465215 and 10089?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 9239*a - 9235*a + 6 - 26, -4*a - 3*t + 34 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + m**3 + 7*m**3 - 2*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (15 - (36 - 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (14 - (5 + 3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.6 - -20.599596. What is c rounded to five dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 2*f**2 + 2*f**2 + 4*f**3 - f**3 - 5*f**3 + (6*f - f - 3*f)*(-f**2 - 2*f**2 + f**2) + 90*f + 72*f**3 - 90*f)*(f + 4 - 4).\nAnswer: 68*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10101022221212 (base 3) to base 4\nAnswer: -12312320303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 81 - 3 = -7*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1808, -3606, -5396, -7178, -8952, -10718, -12476?\n\"Answer: 4*w**2 - 1810*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2 = -5*u - 20, 5*q = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 27972 = 28320 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l + 3. Let o(r) be the second derivative of 143*r**4\/12 - 2*r - 3944. Calculate j(o(z)).\nAnswer: 858*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97 in -0.0477, 1\/404, 1?\nAnswer: -0.0477","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 75*r**2 + 40*r - 101. Give p(37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 11*l - 11. Solve -9*v = -l*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8846598664 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 11*p**3 + 2*p. Let c be (12\/(-9))\/((-8)\/(-18)) + -2. Let f(h) = -17*h**3 - 3*h. Give c*f(i) - 8*s(i).\nAnswer: -3*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 31, 32, 31, 28, 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/1 + (-6)\/3. Let d(a) = -2 + 1 - 4*a + 2 + 2 + 4*a**3. Let k(b) = -9*b**3 + 9*b - 7. What is u*k(o) + 7*d(o)?\nAnswer: o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x - 138. Calculate a(-19).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*u**2 + 249*u**2 - 302*u**2.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 + 0.076?\nAnswer: -343.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339281347*j**2 - 339281347*j**2 - 19*j**3.\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6)\/p**(-5))**(-20) assuming p is positive.\nAnswer: p**(-310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.5, -112071, 0, -5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -499 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + 10*q**2 - 4446*q + 8874. Calculate h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*u - 7 = 0. Let o be 3\/9 - (-40)\/6. Calculate the highest common factor of u and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (53*1)\/(-3 + 4). Let f = 17 - c. Let k be (f\/(-15) - 2)*-5. Which is smaller: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40, -56, -70, -82?\n\"Answer: x**2 - 19*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 57, -53, 21, -5, -14, -3.\nAnswer: -53, -14, -5, -4, -3, 21, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s = 3*s - 4*s - 528 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 times 2086?\nAnswer: -707154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -9. Put s, 0, 1 in decreasing order.\nAnswer: 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 7. Let s = -11 + q. Sort s, -0.3, 1.\nAnswer: -0.3, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (40 - -620)*9\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7528004 divided by -4.\nAnswer: 1882001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0544 and -1.\nAnswer: -0.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 11092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2983613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6400074*a**4 - 127894567*a wrt a?\nAnswer: 76800888*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 58*a = -11. What is the closest to 1\/3 in -0.3, 10, a, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 16*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3718, 7440, 11172, 14920, 18690?\nAnswer: 22488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwgiiw. What is prob of picking 1 g and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -26*v + 265. Let c be i(10). Solve -z - 1 = 0, -u - c*z = -0*z + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 630\/175 + (-3)\/5. Sort 5, -38, l in ascending order.\nAnswer: -38, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 42970\nAnswer: 42989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-1375)*(-50)\/(-15)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192883.5 kilometers to nanometers.\nAnswer: 192883500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 6*d + 22. Suppose 5*j - u + 52 = 0, 2*u = -2*j - 3*j - 46. Let g be s(j). What is the greatest common divisor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-15) - 154\/(-30). Let 223*c**2 - 129*c**3 - 46*c**3 - c**4 + 30*c - 108*c**2 + 6*c**4 + 25*c**n = 0. Calculate c.\nAnswer: -3, -1\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/6 (b) -30595 (c) -3 (d) 33 (e) 0 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y = -30*y + z + 46, 2 = -2*z for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1790 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*p, 0*h - 4*h + 9*h + p - 5 = -6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1146 + 1063 - (1 + -13).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) -0.3 (c) -5204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251126 - -251273.941. Let i = c - 148. Let o = i - -8.159. What is o rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 248 = 252 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1545730*o**2*v - 19546415*o**2 wrt v.\nAnswer: 1545730*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**12)**(-46))**(2\/59))**(-7\/4) assuming n is positive.\nAnswer: n**(1932\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 2, -3, 4, 531 in descending order.\nAnswer: 531, 118, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/30 + 5*s**4\/24 - 2*s**3\/3 - 162*s**2. Suppose 5*x - 27 - 13 = 0. Suppose -5*d - x = -3*d. Calculate q(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2.97\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 - 33*b**2 - 9*b - 4. Let h = 350 - 358. Let u be c(h). Suppose 28\/5*s**2 + 28\/5*s - 4*s**u - 44\/5*s**3 - 8\/5 + 16\/5*s**5 = 0. What is s?\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1.19, -2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Let o = s - -1. Suppose -o*v = -16 - 36. Solve -v = 2*a - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11 = 3*f + 29, -2*r + 28 = -3*f. Let v = f + 8. Suppose -3*p - 2*u = -4*p + 381, p - u - 376 = v. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 714.98 + -715. Let z = 621 - 624. Which is the smallest value? (a) z (b) 3 (c) 0.4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 7*b - 2*b)*(2 + 0 - 1) + (-3 + 0 + 0)*(294*b - 149*b - 152*b) + 0*b + b + 0*b in the form t + m*b and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.41281t in micrograms?\nAnswer: 5412810000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqb when three letters picked without replacement from {r: 5, q: 7, b: 7}?\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2089503 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1199 + 1198.999998802. What is b rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 7. Let c = i + 7. Let 32\/5*m**c - 128\/5*m**3 + 8\/5*m - 2\/5 = 0. Calculate m.\nAnswer: -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 + 111 = 3*s, 3*s = -4*d + 132. Solve -s*p + 28 + 12 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, 22 in descending order.\nAnswer: 22, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-16))\/(-9)*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -493 - -922?\nAnswer: 48f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**2 - 1. Let u = -4 + 5. What is i(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -268*c - 20. What are the prime factors of r(-2)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*o = -4445*o + 28968 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5)*u*u)\/(u*u\/(u**0\/u*u)))\/(u**(2\/7)*u*u\/u**(-4)) assuming u is positive.\nAnswer: u**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 9. Let i be (-7 + 2)*-1 - s. Let g = -21 - -26. Solve 0 = -5*a + 5*v + g, 0*a - 5*a - i = -2*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/((-5428)\/(-46)))\/(1\/(-2*(-100)\/(-4)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129*(2\/(-28))\/((-9)\/8*1704\/8946).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4183675020.\nAnswer: 2, 3, 5, 7, 3320377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-34)\/(-80))\/(0 + (-2)\/(-8)) and -1\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2\/485, 3.\nAnswer: -1\/5, -2\/485, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*f - 4*z, -f = 3*z + 10. Let n(v) = 7*v + f + 10*v**2 - 13*v**2 + 4*v**2 - 2. Give n(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31941 by 819.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x - 741*x + 9471 = -7645 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x - 673 = -z, -335 = -x + z. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 275*y - 829. Let s be m(3). Which is the closest to -1\/4? (a) s (b) 3.6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*d**4 + 67 - 64 - 65*d**4 + 11*d**4 - 28*d**2 wrt d.\nAnswer: -2448*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -0.4, 0.0223, 0.4, 3\/2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 1650*h**2 - 181500*h - 6655000.\nAnswer: -5*(h + 110)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*h = 527, d + 116 = -2*h + 380. Let f = d + -53. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2. Let f(k) = k + 3. Let q be f(-1). Let t(w) be the second derivative of 1\/6*w**4 + 0*w**q - 3*w + 0 + 0*w**3. What is s(t(y))?\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -75690.78552 to the nearest 10.\nAnswer: -75690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t - 105. What is f(16)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 95 (c) 12.2 (d) -2 (e) -1 (f) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7865702ng to tonnes.\nAnswer: 0.0000000000000007865702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726226679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1604 (base 7) in base 8?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 0. Let o(z) = -2 + 38*z**2 + 38*z**2 - 16*z - 7 - 74*z**2. Let r be o(9). Is r equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228574?\nAnswer: 2, 23, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q - 20. Let p = q + -1. Suppose 5*g - 23 = -p. Solve c - g = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1531*i - 373. Is 71 a factor of x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 61 = -64*k + 81*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3*(-16)\/288)\/1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*k + 35 = 0, -4*k = -3*c - 0*c - 44. Let a be (12\/(-5) - 0)\/(c\/(-18520)). Let f = -1355 - a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from qaqaatuquaqaaaqtauq.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1133 (base 4) to base 12\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1804\/(-2)*986\/(-21692)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231570 and 35106012?\nAnswer: 175530060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 + (-12 + 18 - (-5)\/(15\/(-6))) and 931?\nAnswer: 8379","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**5\/4 + 7*q**3\/3 + 15*q. What is the second derivative of o(k) wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k - 32. Let c be ((-5)\/2 + 1)\/(3\/k). Suppose 2*q + 12 = 5*h, 0 = q - 6*q + c*h + 4. Calculate the highest common factor of q and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let r(b) = -6*b - 37. Let d(i) = -5*i - 36. Let p(k) = -5*d(k) + 4*r(k). Let h be p(z). Calculate the greatest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 35. Let y(u) = 4*u**3 - 33*u**2 + 6*u + 18. Let k be y(8). Suppose -5 = -s - 2*l, -s - l + n = -k*s. Sort -4, s, -5 in decreasing order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2. Let a(s) be the second derivative of 11*s + 0*s**3 + 5\/2*s**2 + 1\/12*s**4 + 0. Let z(r) be the first derivative of a(r). Give z(t(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + f**3 + 4*f + f**3 + 3*f**2 - 8*f to o*f**3 + p*f + y + u*f**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.849ml to litres.\nAnswer: 0.194849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 21135 = 11*m + 16*m. What is the remainder when m is divided by 139?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*p + 198*p - 101*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 160495469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*h - 4, 2*h - 33463 + 33471 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500072 is divided by 137.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-nine fifths of a micrometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -166*a**2*j**2 - 6564*a**2*j - 2*a**2 + 15*j**2 - 145*j - 206 wrt a?\nAnswer: -332*a*j**2 - 13128*a*j - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2287610 and 59215?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.097922 (c) -0.0001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003344 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -60*g - 13. Is j(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 8:30 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10522 - 7433. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44358 is divided by 6335?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 409 - 112 = -2*o, -4*o + 4*y + 1012 = 0. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(76)\/sqrt(2))\/sqrt(2) + 0).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjjjjmjjmj. What is prob of picking 3 j?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -490535.65 to the nearest 100.\nAnswer: -490500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/289*(-2)\/4)\/((-26)\/39)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-14)\/(-7))\/((-16)\/(-2))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(320) - (sqrt(320)*-2*-2 - sqrt(320)) - -1*sqrt(320)*1 - (-3 + sqrt(320)*-2*-1 + 3)))**2.\nAnswer: -192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 12. What is the second smallest value in 0.1, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*v - 172, -15*a = -17*a + 15*v + 85. Solve 62*f - 57*f = -a for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/3? (a) 332847 (b) 7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b, 4*b - 538 = -4*w + 2*w. Suppose 4*q - w = 405. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2 - 22. Let u be (-8)\/6*a\/(-112). What is o in u*o**2 + 0*o - 2\/7 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242*t**3 - 34 + 232*t**3 - 12*t**2 + 484*t**3 + 266*t**3 - 327*t**3 wrt t?\nAnswer: 5382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*m**2 + 197*m\/2 + 6.\nAnswer: -(m - 4)*(50*m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 - x**2 - 4*x + 6. Let p(u) be the first derivative of u - 1\/2*u**2 + 1. Calculate -o(d) + 4*p(d).\nAnswer: -2*d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:48 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**5\/60 + 2*y**2 - 20*y. Let x(d) = -303*d - 2 - 1 + 305*d + 5. What is x(n(j))?\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 285623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 241*r - 248*r + 63 + 12 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 + -4. Let o = l + 0.1. Which is the closest to o? (a) -2\/11 (b) 1 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -0.797.\nAnswer: -8.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**5\/30 - t**4\/24 + 5*t**3\/2 + 119*t**2. Differentiate d(u) with respect to u.\nAnswer: -4*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/(3\/9). Suppose f*p + 174 = 22. Let g = p + 496\/13. Sort g, -1\/2, -0.3 in ascending order.\nAnswer: -1\/2, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1009*u - 4. Let r(i) = 254268*i - 1009. Determine 1009*d(m) - 4*r(m).\nAnswer: 1009*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560876093, 1121752186, 1682628279?\nAnswer: 2243504372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4795 - -27595. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64218749 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 618374.3 seconds to nanoseconds.\nAnswer: 618374300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 33*a - 69. Let w be s(2). Solve 5*j - 25 = 4*y - w*y, 2*j = y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + l = -4*l + 45, -4*l + 33 = 3*d. Let y(f) = -f**3 - 4*f**2 + 7*f + 1. Let j be y(-5). Let z = j - -15. Solve d = -z*s + s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b78 + -1?\nAnswer: b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 131*s**2 + 264*s + 721. Give k(-133).\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 4*c + 6. Let u be l(3). Find the second derivative of 3*k**3 - k - 2*k**u - 6*k**3 wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3495*h - 1759*h + 20178 = 1754*h. Calculate the remainder when h is divided by 94.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36414804 is divided by 12138248.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -28. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5065 equal to -5066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**3 - 7*p**2 + 6*p - 5. Let y(g) = -g**2 + 5*g + 38. Let m be y(9). Suppose -6 = -o + m. Is k(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1.1 (c) 3 (d) 5 (e) 1\/9 (f) -608\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*s - 191*s - 22376 + 60176 = 0 for s.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 40. Calculate the remainder when 489 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 115. Find the common denominator of -107\/22 and (-305)\/h - (-4)\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68994300 to the nearest 1000000.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 1 - (-1)\/4. Which is the closest to w? (a) -3\/5 (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 11) in base 16?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 16*g + 6. Let s be 22*(15\/(-6))\/5. Let t be v(s). Suppose -70*p - 18 = -t*p. Calculate the highest common divisor of 45 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256326385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8. What is the common denominator of -99\/14 and 149\/6 + (p - 2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -495 - -490. Let y be 2\/(-1) - (0 + -36). Let w = y - j. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 337 - 75. Let a = -255 + i. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - 7 - (-2 + -5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*4\/(-12)*-3. Suppose 2*k + w*k - 44 = 0. Let r be (-1)\/((-9)\/3 - 128\/(-44)). Calculate the greatest common divisor of r and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2706, 2702, 2696, 2688, 2678, 2666, 2652?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlltl. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 51 - 59. Let f(r) = -3*r**2 - 7*r + 7. Let o(j) = -6*j**2 - 9*j**2 + 16*j**2. Let g(s) = v*f(s) - 2*o(s). What is g(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - -42. Let c = v + -42. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/28 and -111\/70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260782 by -2.\nAnswer: -130391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1490*z + 17. Let s(x) = 298*x - 3. Determine -2*d(h) - 11*s(h).\nAnswer: -298*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 26*u**2 - 8*u. Let o(m) = 0*m + 3*m**2 + 2*m**2 + m. Let x(w) = w**2 + w. Let d(v) = -3*o(v) + 6*x(v). Let h(a) = 17*d(a) + 6*j(a). Factor h(y).\nAnswer: 3*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*z = 16, 5*p + 0*z = -2*z - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38107650*c + 38107624*c - 76215335*c.\nAnswer: -61*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 6*y**2 + 2*y - 8. Let c be t(6). Let p(u) = 4*u - 9. Let k be p(7). Let v = k - 15. What is the greatest common divisor of v and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 2 r when four letters picked without replacement from lrrhrrurmlmdl?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 360.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = 7*h + 277. Suppose -3*f - 2*k - 109 = 0, 0*f - 5*k = -f - 8. Let r = f - h. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(228))\/(sqrt(432)*-3).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/(f**(3\/10)\/f))**(1\/6))**(2\/19) assuming f is positive.\nAnswer: f**(-11\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 112010332 (base 4) to base 6\nAnswer: 1534354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, u: 1, z: 2, j: 1, x: 3}. What is prob of picking 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/(9\/(-24)). Let f be (-3 - -3) + x + -5699996. What is f rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u + 55*u = -35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*n**3\/13 - 778360*n**2\/13 + 2490368*n\/13 - 1992192\/13.\nAnswer: 2*(n - 15564)*(5*n - 8)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 3, 2, -10, -4 in ascending order.\nAnswer: -10, -4, 2, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {a: 1, o: 1, u: 4, i: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5323*l + 9*d = 5325*l - 128, -2*l - 12 = d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2864349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 5, -16, -71, 4 in decreasing order.\nAnswer: 60, 5, 4, -16, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) -39 (b) 2 (c) -4 (d) 0.2 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(1\/(10\/1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from fnnfvffnffvfffnf?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + 0*m)*(-2*m**3 - 2*m**3 + 2*m**3) - 6*m**3 + 6*m**3 - 22*m**4 + (2 - 2*m**3 - 2)*(-2 + 2 + m) - 2*m**4 + 1 - 1.\nAnswer: -22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 1. Let v be (-15)\/12 - 14\/(-7) - (-608)\/(-128). Let z(k) = -18*k**3 - k**2 + 4. Give v*t(q) + z(q).\nAnswer: -14*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-159319)\/880 + 0 + (-6)\/(-33). Let i = 40959 + -205714\/5. Let q = t - i. Calculate the common denominator of q and -31\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5 - 50*j**4 + 30*j**3 + 140*j**2 - 35*j - 90 = 0 for j.\nAnswer: -1, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 184.6486 litres?\nAnswer: 184648.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-7))\/((-1)\/14). Factor -24*k + 33 - 21 + a + 4*k**2.\nAnswer: 4*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoyozopjiyiz. Give prob of sequence ozp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*1*2)) + sqrt(121) + sqrt(121) - sqrt(121)*1*2)\/((sqrt(11) + sqrt(11)*1*4)*6))**2.\nAnswer: 11\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2050392178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/100)\/((16\/(-20))\/((-2)\/(-4)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9951, 41713, 95297, 170709, 267955?\nAnswer: 387041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -r + 7*q + 8, 4*r = q + 17. Let v(d) = r - 4 - 33*d + 30*d. Let h(b) = -2*b**2 + 113. Determine h(v(k)).\nAnswer: -18*k**2 + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4703242 (base 8) in base 6?\nAnswer: -43232150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 276*h**2 - 6. Let t(g) = g**3 - 277*g**2 + 4. Give 2*d(v) + 3*t(v).\nAnswer: v**3 - 279*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Suppose -2*s = 2*t - 212, -t - 426 = -o*s - 6*t. Suppose 0 = -2*l - 2*l + s. What is the highest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2655038278?\nAnswer: 2, 7559, 175621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 + 5*k + 4. Let b be a(6). Let z be (4 + -2)*(-2)\/b. Let l be (z - 1)*(-2 - -5). Solve x + 14 = -5*s, 2*x = -2*x - l*s - 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 2, 6 in decreasing order.\nAnswer: 7, 6, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -2164?\nAnswer: 432.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c*c**(-6))\/c))\/c)\/c)\/(c**(-5)*c))\/(c**7*c**7*c) assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q + 20489 - 20465 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -296, -589, -882, -1175?\n\"Answer: -293*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2873422, -2873417, -2873412, -2873407, -2873402, -2873397?\nAnswer: -2873392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f**4 - 728*f**3 - 596*f**2 + 168*f = 0 for f.\nAnswer: -1, 0, 2\/9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125880323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27911 and 20055127.\nAnswer: 2147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 - 22*l**2\/3 + 64*l - 512\/9.\nAnswer: 2*(l - 16)**2*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4837 + -4833. Solve -l - 5*r = 29, -4*r - 4 = -3*l + x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2. Calculate the least common multiple of 572\/8*14\/11 and o(-1).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10236 - 10356 = -15*j. Sort 4, -4, -3, j.\nAnswer: -4, -3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16295 rounded to three dps?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1350 and 141485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8193414 months?\nAnswer: 0.06827845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2326 + 436736387.\nAnswer: 436738713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y - 3*p, 2*p + 0 = -2*y - 2. Let k(b) be the third derivative of b**4\/24 + b**3\/3 + 2*b**2. What is k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g**(-4\/7)\/g)\/g*g**(3\/11)*(g**29*g)\/(g**8\/g) assuming g is positive.\nAnswer: g**(1671\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 15*m + 82. Let o be g(-5). Let i(k) = k**2 - 9*k + 5. What is i(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -20*s + 32. Let b(y) = 3*y - 5. Let a(o) = 32*b(o) + 5*l(o). Let u(m) be the second derivative of m**3\/3 - m. Give u(a(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/4 + 16*z**3\/3 + 5*z**2\/2 - 36*z + 13. List the prime factors of h(13).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 76.6747 centuries?\nAnswer: 7.66747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 701638820 to the nearest 100000.\nAnswer: 701600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 - 7*f**3)*(2*f + 15*f - 9*f) - f**4 - 2*f**4 + f**4.\nAnswer: -58*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149341312 rounded to 3 decimal places?\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 36648, -25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -500*k**4 + 2075600*k**3 - 2490240*k**2 + 996032*k - 132800.\nAnswer: -4*(k - 4150)*(5*k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1337 divided by 3?\nAnswer: -1337\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.34578ug in grams?\nAnswer: 0.00006834578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 574110863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31488, -63007, -94526, -126045?\nAnswer: -157564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9562 and 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11259289 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -395293798*q**2 + 1041953733 wrt q?\nAnswer: -790587596*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 395.4?\nAnswer: 397.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3883 rounded to two decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10) - (-116)\/290?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5988 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113\/4 + -28. Let s(h) = -2*h + 13. Let p be s(6). Let g be (6\/3 - p) + 9\/(-5). Which is the nearest to n? (a) g (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 329310816?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 12 (c) -1\/73 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -34, -188, -58 in increasing order.\nAnswer: -188, -58, -34, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 8*a**2 - 5*a - 10. Let o be p(9). What is the highest common factor of o and 260?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254506940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4025\/(-1150)*(1 + (-14 - -7)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*p - 842 + 4229, i = 3*p - 2033. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 31 + 119. Let w = g + -43. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -840707*v**3. Let j(z) = -1737*z**3. Determine 6*d(q) - 2905*j(q).\nAnswer: 1743*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j. Let a(m) = -14*m - 8. Let k(f) = a(f) + 4*b(f). Determine k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12288 or 12290?\nAnswer: 12290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*l = -14, -6*t - 4 = -4*t - 2*l. Suppose -27 = -a - t*a. Let q = 99 - 93. Calculate the highest common divisor of q and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 q, and 1 c when four letters picked without replacement from kqqmemrqqqqeqrkkckqq.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171 + -166. Let m = -8 + 5. Which is the third smallest value? (a) r (b) m (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151921 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**2. Let f(h) = 41*h. Determine f(g(p)).\nAnswer: 328*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/599 - 3629\/20965. Find the common denominator of r and -26\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**8*d**(1\/6)*d**9*d\/(d**(-2)\/d*d) assuming d is positive.\nAnswer: d**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*y + 3*y - 5*y)*(-4*y**2 + y**2 + y**2) + 2*y**3 + 0 + 0 - 2*y**3 + y**2 - y**2)*(3*y**2 - 5*y**2 + y**2).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486596.7 millimeters to kilometers.\nAnswer: 0.4865967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*((2*sqrt(275)*-2 - sqrt(275)) + sqrt(275) - (sqrt(275) - (2 + sqrt(275)*-2)))*5*3.\nAnswer: -34 + 525*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {v: 1, l: 9, y: 2, r: 3, a: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 1}. Give prob of picking 2 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.63944 millilitres in litres?\nAnswer: 0.06163944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405 + 400*r + 8*r**2 - 2*r**2 - r**2.\nAnswer: 5*(r - 1)*(r + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 3:53 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 4, x: 3}. What is prob of sequence vk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 11 - 7 - (-12 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -7*s**5\/20 + s**2 + 3*s. What is the derivative of z(b) wrt b?\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 + -76. Sort -3, 3, 2\/7, p in decreasing order.\nAnswer: p, 3, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4\/7 - 2346*l**3\/7 + 449163*l**2\/7 + 3706680*l\/7 + 7489200\/7.\nAnswer: 3*(l - 395)**2*(l + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + m - 2615. Let w(a) = -15*a**2. Give u(w(r)).\nAnswer: -450*r**4 - 15*r**2 - 2615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let f be c(0). Suppose 4*d + 22 = g - 0*d, f = 2*g - 4*d - 40. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3*-2)\/(14\/(-595)). Suppose -p = -3*q + 4*l, -q - 3*l + 0*l + 72 = 0. Calculate the remainder when q is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3))**(-1\/6)*(g\/g**(-5\/6))\/((g*g**3*g)\/g*g))**(-3\/19))**(-28) assuming g is positive.\nAnswer: g**(-224\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -3, 0.1, -15, -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 minus -288.47674?\nAnswer: 311.47674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**3 + 2*m**2 - m. Let t be a(1). Solve 0 = -4*h + t - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -601 + 20?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 1)*(0*s**2 + 5*s**2 - 4*s**2)*(38*s + 33*s - s).\nAnswer: -490*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 129*t**2 - 1. Let k be g(-2). Let c = 907 - k. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.06180209.\nAnswer: 0.12360418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/525*-10)\/((-6)\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9449 and -23.0709.\nAnswer: -9472.0709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*o + 25, p + 0*p + 5 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427811 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*r = 0, -s - s - 5*r = 0. Let f = 228\/11 + -3898\/187. Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:01 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-42)*(-28)\/21)\/(-13*(-30)\/32760).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w - 27. Let d be x(7). Let g(h) = -1 - 4 + 0 + 0 + h. Determine g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1078*x**2 + 5*x + 100. Give a(-2).\nAnswer: 4402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2) + 2)*-6. Let u(l) be the first derivative of -3*l**2\/2 + 3*l + 111. Let r(h) = -7*h + 7. Calculate d*u(o) + 4*r(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/2 - 22*v**3 + 957*v**2\/2 + 21926*v - 22382 = 0.\nAnswer: -38, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 928310881 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p*w**3 + 3*p*w + 200*p - 13*w**4 + 17*w**3 - 2*w**2 - 5*w + 1 wrt w?\nAnswer: 30*p*w - 156*w**2 + 102*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 40, 38, 36, 34, 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 545\/11?\nAnswer: 545\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -182, -422, -758?\n\"Answer: -48*x**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 12*m**2 - 12*m + 17. Let w be i(-12). List the prime factors of 5\/(-20) - w\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2091764\/22 + 20\/(-110). What is p rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 25450.\nAnswer: 305400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a + 19. Suppose a*u = u. Let s = 38 + -77\/2. What is the nearest to s in u, -3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2975*-30.821.\nAnswer: 91692.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**6*q**(-2\/43)*q**5*q*q**(2\/7))**(-2\/15) assuming q is positive.\nAnswer: q**(-8572\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1456, 2, -2, 20, 1 in increasing order.\nAnswer: -1456, -2, 1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -4*n**2 - 13 + 25\/3*n**3 + 0*n. Find the second derivative of h(s) wrt s.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66767 (base 8) to base 13\nAnswer: -ca76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*j + 19, -6 = -j + 3*j. Let d(q) be the second derivative of -1\/12*q**4 + 14*q - q**3 + 2*q**2 + 3. What is d(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 599*n**6\/15 - 1150*n**2 - 2294*n. What is the first derivative of v(m) wrt m?\nAnswer: 4792*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92006 divided by -1.\nAnswer: 92006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 3*a**2 - 4*a - 1. Let q be x(-2). Suppose 1338 = q*m - 5*n, 0*m + 867 = 2*m + 5*n. Suppose -125 = 2*z - m. What are the prime factors of z?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*f + 23*f = -38*f + 124 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/96 - (1\/(-2))\/(-7 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 2*m - 2. Let a(t) = 4*t**2 + 5*t + 5. Let y(d) = -2*a(d) - 5*i(d). Let w(z) be the second derivative of z**3\/2 + 28*z. Give w(y(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 816\/91 at least as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 50315397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1635\/14819 + 74\/511. Let q = 5 - 4.7. What is the nearest to l in 0.5, q, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*g - 99*g - 328*g + 3276 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/480 and -19\/3360.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1648966 times 82\nAnswer: -135215212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -3, -369, -72, -5 in increasing order.\nAnswer: -369, -72, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1102*i - 3*i**3 - 1102*i.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.924 - -2.524. What is the smallest value in t, 2\/7, 3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -7*c + 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, 2, -7, 4 in ascending order.\nAnswer: -7, 2, 4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/3 - 130*n**3\/3 - 42*n**2 + 130*n\/3 + 128\/3 = 0.\nAnswer: -64, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18411 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/11 + 6744*p\/11 - 6742\/11 = 0 for p.\nAnswer: 1, 3371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + 9 + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13554\/7 + 1936. Suppose 0 = 2*c + 2*c - 4. Put 20, c, o in descending order.\nAnswer: 20, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 15\/32 (b) 0.1 (c) -2 (d) -3.3 (e) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/33))**(-20\/11) assuming u is positive.\nAnswer: u**(-40\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119711 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5 - 1, 0 = -3*d - 3*p + 3. Solve 5 = -3*w - 4*l + 7, -2*l + 8 = -d*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140869?\nAnswer: 140869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Suppose 2*k + 2 = c, -15 = a + 3*a + 3*k. Let q be (-2)\/a + 57\/(-99). What is the closest to -0.1 in 0, q, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 1170.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuml. What is prob of picking 1 e, 1 u, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z**2 + 1956*z - 38497. Calculate c(116).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**43)**(-9\/8)*(((w**(2\/5)*w)\/w*w)\/w**2)\/(w**(-6)\/(w*w\/(w\/(w\/(w**0*w))))) assuming w is positive.\nAnswer: w**(-1807\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 9 = 19*d, 2*l - 11346 = -4*d. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8 + 2 + 0*w + w. Let j be s(10). Suppose 3*l - j*l = -11. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -25, -36, -47, -58?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 26*j + 3. Let z be u(3). Suppose -z = -5*v + 44. Suppose 2*p = -3*p + v. Solve 0 = -3*t - d + 1, -2*t + 0*t + p*d + 29 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, j: 6}. Give prob of sequence jjj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**3 - 4*s**2 - 5*s + 3. Let b(q) = 0 - 2*q - 1 + 12*q**2 - 11*q**2 + 3*q + q**3. What is 4*b(c) + d(c)?\nAnswer: -2*c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = -4*d, 0*w = -w + 3*d + 18. Suppose 2 = -4*x + w. What is the highest common divisor of 14 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b**2\/5 + 310452*b\/5 - 206964\/5 = 0.\nAnswer: 2\/3, 34494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - (614\/(-6) - 16\/24) is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27\/1690 + -80647\/8450. Let o = r - -4409\/150. Calculate the common denominator of 121\/30 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*26\/(-12)*-3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 5:04 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1218 and 1\/60.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(38)\/sqrt(2) + 4 + 1*(sqrt(152) - sqrt(152)*1)\/sqrt(8) + -1)**2.\nAnswer: 12*sqrt(19) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 226, 1122, 2728, 5062, 8142, 11986?\n\"Answer: 3*p**3 + 337*p**2 - 136*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6376286 divided by -910898.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9))**(-1\/39)*((u*u\/(u\/(u**(-1\/4)*u)))\/u)**(1\/14) assuming u is positive.\nAnswer: u**(1165\/19656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, -1\/3, 4, -3\/2 in decreasing order.\nAnswer: 4, 0.5, -1\/3, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - l**5 + l**2 + (5*l**4 + l**4 - 4*l**4)*(-2*l + 3*l + l) - 2*l**5 + 20*l - 20*l + (-2*l**4 + 3*l**4 - 3*l**4)*(-2*l - 2 + 2).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 4, -17, -1 in increasing order.\nAnswer: -26, -17, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 464*h\/9 + 107512\/3.\nAnswer: -2*(h - 534)*(h + 302)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/185)\/(1\/25) + -63 + 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -145, -553, -1035, -1627, -2365, -3285, -4423?\n\"Answer: -6*f**3 - f**2 - 363*f + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 3*n - 135. Let f be o(-10). Let m(g) = -g**3 - 5*g**2 + 3*g + 7. Determine m(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27118 and 19110?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 7 = -20. Let d(x) = -9040*x + 20. Let w be d(g). Round w to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*h - 4 - 20 = 0, -4*r + 32 = 4*h. Calculate the remainder when 23 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 4*x - 2. Let r(s) = 13 - 3*s**2 - 14 + 2*s**2. Let i(y) = p(y) - 3*r(y). What is the tens digit of i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -318*g**7\/7 - 146*g**3 + 84. What is the third derivative of r(f) wrt f?\nAnswer: -38160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 3\/(12\/(-8)) - (-3 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195395393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, 0, -2, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2) + 3 - (sqrt(2) + sqrt(22)\/(sqrt(11)*-3)).\nAnswer: -1 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 1. Suppose -12 = -3*y - 0. Suppose 0 = -3*b - y*v - 11, 0 = 4*b + 4*v - 0*v + 8. Let d(c) = -2*c + 2. Let h be d(b). Determine u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/50 and (2 + 63)*((-463)\/42 + 11).\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13909847293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -7. Let g be ((-4)\/6)\/(1\/3). What is the nearest to -2 in -1, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 4*a. Let z(w) = -w + 8. Suppose -4*o + 16 = -0. Let x be z(o). Suppose -h - 3 = -x*v, 0 = 2*h - v - 0*v - 8. What is d(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 30 - 17)*(-27 + 38 - s + 2*s).\nAnswer: 15*s + 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7 - 661*f - 7 + 656*f. Is 31 a factor of x(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:24 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 888 + -544. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 4*b + 4. Let h be d(-4). Solve h*y + 7 + 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 35 - 47 - 3129*t as l + f*t and give f.\nAnswer: -3129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + 15 + (-24 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 7*v**2 + 8*v - 3. Let x = 1256 - 1246. Let s(j) = j**2 + 4*j - 4. Let y be s(-6). Suppose -x*r + 9*r = y. Give n(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56228708 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28827 is divided by 5761?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 4*y**2 + 3 - 2*y**2)*(-4 - 1 + 2)*(-3*y**2 + 2*y**2 - y**2).\nAnswer: -6*y**4 + 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-38)\/(-8))\/((-1)\/4). Let a be (0 + 4 + h)\/(-8). Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41.7365477 and 0.04?\nAnswer: 41.6965477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l. Let v be ((-55)\/22)\/(78\/(-40) + 2). Let f = 52 + v. Give p(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, -11, 1, 0, -6, 2 in ascending order.\nAnswer: -138, -11, -6, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - z + 5 = -0, 0 = 3*z - 3. Suppose 2*y + 10 = -4*h, y + 2*y = 2*h - 7. Let j be -2 - -2 - (-1 - h). Put 2, r, j in increasing order.\nAnswer: r, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 1\/525*a**7 + 2\/75*a**6 + 0*a + 23\/150*a**5 + 7\/15*a**4 + 4\/5*a**3 + a**2 + 41. Solve k(q) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 6306?\nAnswer: 31530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 3. Let a = -2 + 57. Let b = a + -55.1. What is the closest to t in 0.1, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzmddzzzdddmzmmmddz. What is prob of picking 2 z?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -34, -2\/197, 3\/2, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17\/3 - 6. Let n = 1.06 + -0.06. What is the third smallest value in n, m, 4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 + 32*g**2 + 99*g + 3. Calculate t(-3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185095?\nAnswer: 5, 37019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:25 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 - j**4\/12 + 2*j**3\/3 + 3*j**2. Let a be l(-6). Is 15 a factor of (-8)\/a - (-339)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let h = s + 3. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 19 + 20 + 54*w**2.\nAnswer: 62*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*l*p**4*q + l*p**3*q + 2*l*p**2 - 20*l*p - 5*l*q + 2*p*q wrt p?\nAnswer: 624*l*p**2*q + 6*l*p*q + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-187)\/33)\/((-1)\/3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6310 is divided by 1261.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -15 - (-420 + 384) - 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.086 + -0.256. Let p = 1.34199369 + n. Round p to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/84)\/(-1*(-6)\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1 - -3) + (-18 - -55 - 32)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 17*x - 71. Give t(11).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 - (-170)\/4. Suppose 2*i - 25 = v. Suppose 4*h + 2*k - i = 0, 24 - 83 = -5*h + 3*k. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 1\/7*l**2 + 2\/7*l + 1\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 21*u**2 - 21*u + 45.\nAnswer: -3*(u - 1)*(u + 3)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -2, 4, -251, 5.\nAnswer: -251, -6, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkvbibikb. What is prob of picking 2 i and 1 k?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and 4016290.81818?\nAnswer: 4016290.86818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 + -3) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -1, 2510, -6, -8.\nAnswer: -8, -6, -3, -1, 3, 2510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313097, 1252329, 2817707, 5009231, 7826901?\nAnswer: 11270717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 4)*(-9*d - 19 - 25*d + 21).\nAnswer: 204*d - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 7:47 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 + 296. Let p = a - 132.99935. Round p to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 3. Suppose -7 + x = 2*f. Factor 9 + 10*l - 19*l**2 - 1 + f*l**2 - 2*l**4 + 8*l**2 - 10*l**3.\nAnswer: -2*(l - 1)*(l + 1)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.3 + -306.7. Let t = h + 349.298. Round t to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 + 67.64. Let i = -66.81 + h. Let d = -1.3 + i. Are -2\/7 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 8. Let u be t(7). Let g = u + -1. Solve 5*s + 9 = 3*o, 2*o - 5*s = 16 - g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxifffifgjffjifb. What is prob of picking 1 g, 1 b, and 2 x?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15544 - 3*w + 1938 + 18*w**2 - 17482 + 3*w - w**3.\nAnswer: -w**3 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -57, -5, 2, -1 in increasing order.\nAnswer: -57, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -342, 29, -15\/4, 2.4, 2\/3 in ascending order.\nAnswer: -342, -15\/4, 2\/3, 2.4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5022 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 33 (c) 12217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/84*230\/25)\/(8\/(-10)).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 42. Suppose 2 + 8 = 5*v. Suppose 16 + 8 = v*d. Calculate the greatest common factor of c and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 18. Let a be o(9). Suppose 4*g + 12*g - 32 = a. Solve 2*z + 0*z + 2*d = 2, g*z = -3*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3760580527 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -q - 1605, 5*l - 498 = 5*q + 1527. Solve 81*t - l = 31*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -0.0523, -1.79, 1\/4 in increasing order.\nAnswer: -28, -1.79, -0.0523, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/152 - 5367\/152. Let i = -1769\/52 - p. What is k in -170\/13*k**3 + 40\/13*k - i - 100\/13*k**4 + 84\/13*k**2 = 0?\nAnswer: -2, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 64 + 9 = 30*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12\/23 + -10\/69. Is -26 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 45 = 5*i, -5*r + r + i = -79. Solve -4*u = u + r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 29. Let x be n(3). Let j(t) = 4*t + 7*t - 14*t - 5 + x*t. Determine j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**2 + 2*o. Let q(f) = 4*f**2 - f. Let h(r) = 5*q(r) + 3*u(r). Let j be h(0). Are j and -3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4070 + -2884. Calculate the remainder when g is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-10))\/((-3)\/(-30)). Suppose 2 + 2 = 4*n, -4*n - 4 = -y*d. Let 0*q**3 - 4\/5*q + 8\/5*q**2 + 0 - 8\/5*q**d + 4\/5*q**5 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11983 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 11) to base 5.\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -105, -145, -219, -339?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 3*g - 2, a + 4562*g + 17 = 4564*g for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167\/483 - 2\/161. What is the closest to a in -3\/4, -4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18884555 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147.7 + 148. What is the nearest to -0.2 in 2, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113201103 (base 4) to base 11\nAnswer: 66421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 115.\nAnswer: -3\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -52. Suppose 37 = t*i + 5*g, -3*g + 12 = -2*i + 9. Let h be 2\/(-3) + 2\/3. Solve h = -i*q + 2*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20969321\/182797230 + -2\/395665. Let g = t + 1\/42. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffqhhffqhfhqfhh. What is prob of sequence fhhq?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074597851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*l**2 + 34320*l - 8*l**2 + 2 - 34304*l + (0*l**2 + 5*l**2 - 3*l**2)*(1 + 2 - 1) + 5 - 5 + 2*l**2.\nAnswer: -46*l**2 + 16*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (-2 + 1)*76?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -76, -127, -188, -253, -316, -371?\n\"Answer: v**3 - 14*v**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2580 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 16*x - 13*x = 4, -3*x - 10 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -12. Let j(r) = -3*r**3 + r**2 + 4*r - 4. Suppose -5*w + 7 = -8, -4*i = -w + 11. Let n(g) = -g**3 - g**2. Let b(y) = a*j(y) + i*n(y). What is b(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -10601.\nAnswer: -17\/10601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p. Let l(z) = -9*z. Let r(y) = -4*j(y) + l(y). Give r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/10 - p**4\/12 - 2*p**3\/3 + 3*p**2\/2 + 11*p. Factor j(l).\nAnswer: (l - 1)**2*(2*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 8. Suppose -c + 0*c = -5*g - 33, -3*g - 15 = 0. Let k be s(c). Let b be (-2 + 4)\/(k\/316). Round b to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 362272.29 + -362270.28999912. Let b = q - 2. Round b to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 - 2 = -z, -9 = -z - l. Suppose -52 = -z*r + 658. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-1 - 0)*4. Let w = s - -11. Suppose -w*f + f = 1000000. Round f to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krx when three letters picked without replacement from xktgrgxxmtg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 502, 763, 1044, 1351?\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(4*j**2 - 4*j**2 - 3*j**2) + 121*j + 60*j**2 - 121*j)*(2*j + 11*j - 7*j + (0*j - 3*j + 4*j)*(-1 - 3 + 6)).\nAnswer: 504*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 - 3788*t**2\/3 + 8806*t.\nAnswer: 2*t*(t - 1887)*(t - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5 - 44*u**4 + 15680*u**3 + 441600*u**2 = 0 for u.\nAnswer: -40, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1470))\/(sqrt(6) - sqrt(66)\/(2*sqrt(11))).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f*f\/f**15*f*f))\/f))**(1\/28) assuming f is positive.\nAnswer: f**(-5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d**2 + 11*d + 21. Let j(s) = 8*s**2 + 5*s + 10. What is 6*b(l) - 13*j(l)?\nAnswer: -2*l**2 + l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.338 - 985?\nAnswer: -978.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1\/5, -0.4, 4 in decreasing order.\nAnswer: 4, 2\/3, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162820669 to the nearest integer?\nAnswer: 12760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 6 - 41. Let s(u) = 2*u**2 - 4*u - 1. Let r = 10 + -7. Let l be s(r). Solve v = 2*q - n, -3*v + l*q = 15 + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 + 47*m**4 + 3416*m**3 - 975128*m.\nAnswer: -40*m**3 + 564*m**2 + 20496*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23676*n - 23689*n = 182 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 832*w**2 - 9150*w - 16. Give m(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 487*k**2 + 480*k**2 + 2*k.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 65481?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1903918 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 2.7. Let i = 3.2 - q. Let v = -5.1 + i. Which is the closest to 1\/3? (a) 0 (b) v (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000040818 to seven decimal places.\nAnswer: 0.0000408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(-3*sqrt(13) + sqrt(13)))**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63411, 63508, 63605, 63702?\nAnswer: 63799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 + ((-2560)\/48)\/20\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 4*n + 6. Let m(g) = -g**2 + 1. Let a(t) = 2*m(t) - 2*w(t). Let c be a(-8). Let h = c + -38. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1788878.4 months to centuries.\nAnswer: 1490.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-14)\/525)\/((-4)\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 10*h**2 + 2*h - 14. Let j be i(10). Find the third derivative of -j*u**2 - 2*u**5 + u**2 - 3*u**5 wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039445 at least 1039476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h + 4*x + 18 = 0, -4*x = 2*h. Is -2*(h - 4) - -17*91 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 440 = -5*o, 424 = -3*d + 8*d - o. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = n - 37 + 38, -2*t - 11 = -106*n + 103*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -13 + 20 + 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p - 3*m + 6, -3*p + 4*m + 5 = 0. Let n(u) = p*u - 2*u - 4*u - u. Let q(f) = 6*f. Let c(i) = -3*i. Let s(o) = -13*c(o) - 6*q(o). What is s(n(w))?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15468312 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21920433 and 1691?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1514 divided by -25782?\nAnswer: 757\/12891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -46. Calculate the common denominator of a and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(76) + 0 + 3) - (sqrt(76) + -5 + sqrt(76) + sqrt(76) + 1)*-3)*5 + -1)**2.\nAnswer: -12100*sqrt(19) + 62141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-18)*(207\/(-184))\/(3\/2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, 1, -0.5, -156, -107\/30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/24)\/(72\/(-192)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*u + 78. What is the remainder when 51 is divided by u\/(1\/(1 - 2))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 121 = 5*t, -4*w + 49 = 3*t - 116. Let p = w + 107. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/120 + 7*h**5\/60 + 11*h**4\/24 + h**3 - 17*h**2 + 1. Does 36 divide o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/(3 + 0 + -2). Suppose -o*k = -17*k - 40. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633290905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 467, -131, -2 in decreasing order.\nAnswer: 467, -2, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -52.9. Which is the third smallest value? (a) y (b) -0.04 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 6*v**2 - 3776*v\/5 - 504\/5 = 0.\nAnswer: -2\/15, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 882 = 8*s. Solve 5*v - s = 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5 + 0 + sqrt(153) - sqrt(153))**2)*6.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/50 + 17976\/40. Let y be 1 + 42 - (-3 - -1). Calculate the greatest common divisor of c and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3204 divided by 6.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -1387795?\nAnswer: -1387795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 19*n + 77. Let u be w(-12). Sort 4, 5, 3, u in ascending order.\nAnswer: u, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106503077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 24.5, -2, -2.14678.\nAnswer: -2.14678, -2, -0.2, 24.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 + -173. Suppose -10*t - 12 = -x*t. Sort -0.5, 0.2, -0.03, t in increasing order.\nAnswer: -0.5, -0.03, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21242740*l**4*q + 2*l**4 - l**2*q + 2475*l**2 - 2*l*q + l + 134 wrt l.\nAnswer: 509825760*l*q + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - 2*h + 2*h + (h + 5 - 5)*(3 - 5 - 2) to the form q*h + w and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 8. Let k = 8.8 - 9. Which is the closest to 2\/5? (a) 3 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 124644?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -165 + 69*v + 80 + 96. Let t(a) = a**3 + 4*a**2 - 2*a + 2. Let j be t(-4). Is h(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/(n**(-9)\/n))**32 assuming n is positive.\nAnswer: n**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 502278 from 263077.02.\nAnswer: -239200.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256827 and 3425811.\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 4*c + 10, 4*j + 9*c = 12*c + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 105\/10*4\/6. Suppose 35 = 5*f - 0*n + 4*n, u = f + 3*n. Suppose -4*m = -i - m - f, -m + 13 = 5*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -539.3 and 0.08?\nAnswer: -43.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 605077441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 566 and 953156?\nAnswer: 269743148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8419 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(1\/22)*(b**0)**(-11\/2)*(b*b**0)**1\/(b\/b**(-2\/5)*b**(2\/11)) assuming b is positive.\nAnswer: b**(-37\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 611569 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-5)*(160\/64)\/((-5)\/(-7)). Solve -4*r + t - 16 = -v*r, 0 = -3*r + t + 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2625 and 98187?\nAnswer: 85913625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -15661*s - 297704. Determine t(-19).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Let u = 54 + -53. Put f, u, -2 in ascending order.\nAnswer: -2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**2 - 8 + 13*r**2 + 8.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f - 2*z = 57*f - 9, -4*z - 10 = -2*f. Suppose -h - 68 = -3*h. Calculate the remainder when h is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:03 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 4472622?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 35*d**2 - 203*d + 549. What is p(-11)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**3 - 2 + 0*w**3 - 4*w**2 + 2*w + 5*w**3 to j*w + f*w**2 + s*w**3 + l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617254 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1128 and 1132064936?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/(-222))\/((3\/54)\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105513.\nAnswer: 3, 35171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -0.36\nAnswer: 6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -688 divided by 233615\nAnswer: -688\/233615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (35 - 2) + -147 + 143?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/11 + 6*m**2\/11 + 32*m\/11 + 24\/11.\nAnswer: -2*(m - 6)*(m + 1)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 10*w = 24. Suppose -78 = -w*q - 18. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-4)*1274\/4459?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 - 764877*z**3 + 3059497*z**2 - 3824367*z + 1529746 = 0. What is z?\nAnswer: 1, 2, 764873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -522453140 (base 6) in base 10?\nAnswer: -9089556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443073339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*x - 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, y: 1}. What is prob of sequence kyk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/1 - -1) + -176*(-114)\/7296?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 359 = 3*a + 358, -42*s = -2*a - 578 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 20576?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 811*t - 1. Let i(b) = 76*b - 1. What is i(x) + n(x)?\nAnswer: 887*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -3*c**8\/112 - c**7\/70 + c**6\/24 - c**5\/60 + 27*c**2 - 4. Suppose f(g) = 0. What is g?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6)\/(((-3)\/(-4))\/3). Suppose 0*p = -5*b - m*p + 32, 5*b = -p + 36. What is the remainder when 12 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08618228 + -0.0862. Round j to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 60, -16, -2\/11, -25?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 17*f**2 + 28*f - 22. Let w be c(-15). Let m be 3\/(-24)*-4*w. Factor 0 - 1\/2*d**3 - 1\/2*d**2 - 1\/6*d**m - 1\/6*d.\nAnswer: -d*(d + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/5 (c) -0.3 (d) 5 (e) 3 (f) -161\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12\/5)\/(q*q**(5\/8)))\/(q**(-2\/3)\/(q*q**(-15)*q)) assuming q is positive.\nAnswer: q**(-1963\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 8:38 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.6 - 17. Let z = -0.59 + 0.55. Which is the smallest value? (a) 0.5 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*s - s + 6, 3*s = 4*r - 2. Suppose 110 = r*l - 2*t, -51 = -2*l - t + 62. What is the lowest common multiple of 56 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)*k\/k**17)\/(k**(2\/3))**(1\/13) assuming k is positive.\nAnswer: k**(-1016\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13418 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*f + 13. Let z be (-4 - 20\/(-6))\/((-6)\/27). Suppose -f*q + z = -q. Sort -1, 3, q.\nAnswer: -1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine thirds of a year in months?\nAnswer: 316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 4 = -18*u. Suppose -u*z = -8*z + 11140. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -3*v**4\/8 + 5*v**3\/2 + 3*v**2\/4 - 15*v\/2 + 527. Find q such that o(q) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34899 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 q(l) = l**2 - 11*l - 34. Let p be q(13). Let c be (p\/3)\/8 + (-20)\/(-6). Let y(x) = -x - 3. Let h be y(-6). Solve -c*b + 5*b = 2*u, h*b = 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:20 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 719, 1283, 1535, 1319, 479?\n\"Answer: -26*w**3 + 746*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(66)*5)\/((sqrt(36)*-3)\/sqrt(6)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-8))\/(-5) + 121\/(-226). Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 314698 + 834789. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 6. Solve 0 = -3*w - x*b - 8, -3*b + 3 = -w - 4*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a centimeter in millimeters?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 366*z**2 + 0*z - 526*z**2.\nAnswer: -160*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a millennium in centuries?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + p - 6 = 0, -14*v - 7*p + 6*p = 1 - 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 37*n**5\/20 + 3*n**3 + 14*n + 4. Let a(b) be the first derivative of o(b). What is the second derivative of a(t) wrt t?\nAnswer: 222*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fflfffffffffffwf. What is prob of sequence fwlf?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152575*s + 76283*s + 76292*s + 3*s**2 - 26*s**2.\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/87, 3, -1, -4, -122745 in decreasing order.\nAnswer: 3, -2\/87, -1, -4, -122745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*z + z + 12, -5*q - 3*z = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gss when three letters picked without replacement from {g: 2, v: 4, s: 8}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1921*r**2 - 3843*r**2 + 1922*r**2 - 24*r**3.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b3 (base 13) in base 5?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*z = -1, 3*g - 4*z - 2 = 6. Solve -5*c = -2*d, -g*d = 4*c - d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427530 divided by 30?\nAnswer: 14251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.73 and -6697683783.\nAnswer: -6697683775.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 9*d**5\/40 + 73*d**3\/6 - 76*d**2. Let b(n) be the first derivative of o(n). Let l(u) = 3*u**2. Give l(b(s)).\nAnswer: 2187*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 732540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**2\/2 - 10*q + 2. Suppose 4*j = -3*w + 28, 5*w = 1800*j - 1803*j + 21. What is n(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3506 + -3504. Solve -5*z - 3*j = -17, h*z - 1 = -5*j + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:12 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 1. Let w(g) = -2*g. Let o(z) = 2*p(z) - w(z). Let l be o(-1). Let y be l\/((-2)\/(-3)) + 3. Sort -5, y, -1, 1 in descending order.\nAnswer: 1, y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 8197\nAnswer: 5\/8197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 115, 3834, 5, 0 in decreasing order.\nAnswer: 3834, 115, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 8}. What is prob of sequence ovvo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11033941.\nAnswer: 181, 60961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**2\/2 - 204. Let v(h) = 4*h - 6*h + 0*h. Calculate v(p(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 537510146 to the power of 1\/2, to the nearest integer?\nAnswer: 23184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 2570*u + 31560.\nAnswer: -5*(u - 12)*(u + 526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + d + 11, -4*l + 19 = -l - 4*d. Let s(i) = -i**2 - 3*i + 5. Let m be s(-5). What is the nearest to -2 in m, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -57, -85, -113?\n\"Answer: -28*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-45))\/(((-232)\/(-60))\/(-29))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(-39)*b**(1\/7)*b**(-2\/17))**(-4\/11) assuming b is positive.\nAnswer: b**(-12\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33475, -33474, -33471, -33466, -33459, -33450?\nAnswer: -33439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 9, -4, -33, -84?\n\"Answer: -g**3 + g**2 + g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 9. Let n be t(6). Let p = 5 - n. Suppose -p*q + 12 = -5*q. What is the closest to 0 in q, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.231 - 0.069. Let i = 3.951 + 0.029. Let f = i - -0.02. Which is the third smallest value? (a) -1 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 1. Let z(b) = 3*b**2 + 2. Suppose 2*y - 4*y = -6. Suppose g = -5*c - 27, -3*c - y = -2*c + g. What is c*z(q) + 10*k(q)?\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*l + 11541 - 11581 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*g - 4*g - 41, -59 = -3*k - g - 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8540*r**2 + 16135*r**2 - 8362*r**2.\nAnswer: -767*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26272993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 6*j - 7. Let d be o(5). Let v = 10 + -9.9. Which is greater: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 26.4. What is the nearest to -0.1 in 0.4, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/20 and (-17 + 392\/(-16))\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/5 + 38*r**4\/5 - 102*r**3\/5 + 98*r**2\/5 - 32*r\/5 = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37221970, 37221956, 37221938, 37221916, 37221890, 37221860?\n\"Answer: -2*r**2 - 8*r + 37221980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Let c(n) = n + 2. Let w be c(0). Suppose 0 = -2*s + 42 - w. Calculate the smallest common multiple of s and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317178856 divided by 269252?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 14 = 22. Let b(z) = -20*z**2 - 17*z + 8. Let v(i) = 484 - i**2 - 481 - 6*i**2 - 3*i - 3*i. What is q*b(x) - 11*v(x)?\nAnswer: -3*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*s**2 - 61*s**2 + 124*s**2 - s**3 + 20 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1\/6 (b) 10 (c) -0.697\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-11)\/(-891)*18*26\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 135a + 10?\nAnswer: 136a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 10*l**2 + 32*l - 76. Let x be y(-13). Solve -x*f - 6 = 54 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 643518149 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 + -51?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -283484322\nAnswer: -28348432.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*h + 3*h. Suppose 460 = 3*y - 4*w, -2*w + 776 = 5*y - 4*w. Suppose -3*p = -y - 12. Calculate the least common multiple of h and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 5)*(4*z**2 - 3*z**2 + z**2)*(-5 + 5 - 1) to the form a*z + w + t*z**2 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*b**5)*(3 - 1 + 1) - b**5 + b**5 - 2*b**5 + 2*b**5 - 2*b**5 + 5*b**5 - 4*b - 1 - b**2 + b**5 + 4*b.\nAnswer: -2*b**5 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6072 - 5327. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.64 + -187.43. What is w rounded to 0 dps?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22296 is divided by 2030?\nAnswer: 1996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {d: 1, g: 1, m: 2, j: 1, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 5:51 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t - 25. Suppose 2*n + n + 3 = 0. Calculate the lowest common multiple of t and 2*n\/((-2)\/11).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 663 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/60*((-6)\/(-39) - 146\/104).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.699 from -0.1.\nAnswer: -0.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c - 0. Let x(j) be the third derivative of 5*j**4\/24 - 17*j**3\/6 + 20*j**2. Let q be x(9). What is the greatest common factor of c and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -720911, -1442235, -2163559, -2884883?\n\"Answer: -721324*h + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(228) + 3*(1*sqrt(228) - sqrt(228)))\/(sqrt(1200)*-2*-4 - (2*sqrt(1200) - sqrt(1200))*3).\nAnswer: 9*sqrt(19)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 - 2 = 0. Let c be (u - -1) + (-6 - -9). Suppose 0 = -c*v + 249 - 9. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + 4.97. Let f = 3 - d. Let n = 39 + -40. Which is bigger: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -242, 1\/7, 10?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603009327.\nAnswer: 3, 19, 97, 109063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15866.\nAnswer: 2, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/k**(-3\/7)))\/(k\/(k\/(k*k**(-6)*k))))\/(k\/(k*(k\/k**(-2\/7))\/k))**(-1\/13))**(-10\/9) assuming k is positive.\nAnswer: k**(-3230\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.624242 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 15 + 35 - (32 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1430094 by 62178.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*f - 5*a + 13, 0 = -5*f + a + 6. Suppose -f*c - 2*h - 557508 = 662482, 0 = 3*c + h + 1829995. Round c to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3907 is divided by 762.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 0 - 0) + (2 + 139 - (301 - 280)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*t + t - 3, -5*t = q - 18. What is the least common multiple of 36 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4345 = -1580. List the prime factors of u.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 3*r - 5*h, 3*h + 59 - 19 = -r. Let f(t) = -4*t**3 + 4*t**2 - 4*t + 3. Let c be f(2). Let i = c - r. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + d = 2*d + 5, 0 = -4*d - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - 0.07. Let q = g - -1. Let d be (4 - 3)\/(2\/1). What is the nearest to 0 in q, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4556 is divided by 147?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485186 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d + 3*d**3 + 198 - 198 in the form h*d + r + l*d**3 + o*d**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 12 = 3*q. Let r(c) = 2*c**2 - 2*c - 4. Let t be r(q). Let a = t - 3. Solve 0 = -k - a - 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 56*b**2 - b - 1. Let a be g(-1). Let y be (-114)\/a + (-10)\/(-5). Suppose -1 = 92*d - 1. Is y less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*4\/(-30)*-5. What is the third derivative of -12*d**2 + 1 - 1 + d**4 + 10*d**o wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*x + 28 - 7 - 13 + 10*x**2 - 2*x**3.\nAnswer: -2*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876241?\nAnswer: 251, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2473.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1712 + 1817. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 6*r - 6. Suppose 2*p + 5*m = 15, -6*p + 23 = -2*p + 3*m. Give x(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 22. Let t be h(14). Suppose x = 3*x + n + 1, 0 = -n - 1. Suppose 2 = z - x. Solve 0 = 2*b + 4*y + z + 8, 3*y = -t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -2511132211?\nAnswer: -2511132212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765178 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*r**4 - 29920*r**2 - 390232 wrt r?\nAnswer: -12*r**3 - 59840*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 4. Let a = -13 + 16. Let s(m) = -55*m + 100. Let b(v) = -5*v + 9. Let c(i) = 45*b(i) - 4*s(i). Let l(n) = a*c(n) + 4*k(n). Determine l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.058*-5.21\nAnswer: -31.56218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161739722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vffvti. Give prob of sequence fitf.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18543 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/13 + 1968*o**2\/13 + 114202*o\/13 - 116172\/13 = 0.\nAnswer: -922, -63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494973.\nAnswer: 3, 43, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352) + (sqrt(352) + sqrt(352)*2)*1)\/((sqrt(32)\/sqrt(4) - sqrt(8))*-2 + sqrt(8)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28470, -28469, -28468, -28467?\nAnswer: -28466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 6, -4*c + 2 = -0*c + 2*d. Suppose 3*f + c*f = 75. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284 and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 22.1. Let w = u + 17. Let p = -2 - 1. Which is the biggest value? (a) p (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3 + 16*k**2\/3 + 14*k\/3 + 4\/3 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 16) to base 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/12607 or 0?\nAnswer: -6\/12607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 199303847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 367c?\nAnswer: -3686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (9 - ((-24497)\/(-979) - 11))?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110483625.\nAnswer: 3, 5, 7, 42089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5233, -10254, -15165, -19972, -24681, -29298, -33829?\nAnswer: -38280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -192 * -6012.\nAnswer: 1154304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*k + 567 = 0, -5*k = 79*z - 77*z - 343. Calculate the greatest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 18 = 4*t. Suppose -5*w - 3*h + 20 = 2*h, -w = t*h - 14. Does 19 divide 2\/(w\/1)*-56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70326165 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/35 + 22\/55. What is the third smallest value in -1\/6, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 bigger than 154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258349 and 109837.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from {w: 1, c: 6, e: 4, n: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 21*t**2 - 5*t - 13. Let g be o(-6). Is 341 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 290*z**2 - 307*z - 21. Let v(p) = 97*p**2 - 103*p - 6. Let h = -7 - -14. Let j(t) = h*v(t) - 2*k(t). Find the second derivative of j(f) wrt f.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 7*z**2 + 9*z + 7. Let h be c(8). Let m(o) = o - 2. Let i be m(6). Solve j + i*j = -h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:08 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + h**4 - 2*h**2 + (5 - 5 + h**4)*(-5 - 7 + 5).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*g**3*i + 48*g**3*k**2 - 4*g**2*k**2 + 3*g**2 - 133*g*i*k - 4*k wrt g.\nAnswer: 126*i + 288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18201 take away 1?\nAnswer: -18202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {e: 2, n: 5, y: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17.0017 years?\nAnswer: 0.170017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlllkdkldkkkdklllkd. What is prob of sequence ddll?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:43 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 c when three letters picked without replacement from yphhhhpyc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 8\/14 + 61*352\/154.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 169*p + 68*p - 88*p to v + y*p and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87457.439 rounded to the nearest 1000?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5610000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by -31?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476100 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2751 + j**3 + 3*j**2 + 6*j**2 - 2748 - 6*j. Suppose 2*f + 5 = -3*n, -4*f - 19 = -0*f + 3*n. Is w(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520411400 and 600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-1986)\/282 - 104\/(-8).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a - 3*b + 7, 2*b = 3*a + 22. Let t(x) be the first derivative of -21*x**4\/2 - 5*x**3\/3 + 3*x**2\/2 + 3*x + 247. Is t(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 9. Let o be y(4). What is the closest to -0.2 in 3, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 25*n**3 - 4*n**2 - n + 2. Calculate the lowest common multiple of 116 and b(1).\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 18. Let k be f(-7). Let h be 2 - 1\/(5\/k). Suppose h = -0*j + 4*j - 3644. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 231727146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - u - u + (2*u - 9*u + 2*u)*(-9 + 13 + 28).\nAnswer: -158*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 1, i: 2, t: 4, l: 1, p: 6}. What is prob of picking 1 i and 2 t?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywzowzuru. Give prob of picking 1 u and 1 w.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 76.9. Let s = 1.9 - x. Suppose 3*u = -5*q + 5*u + 29, 0 = -2*q - u + 8. Which is the nearest to -1? (a) s (b) 1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4 - 19) + -160 + 166.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25856*d**3*h*n*y + d**3*h*n + d**3*n*y - d**3*y + 38*d*y + n*y - 4*n + y wrt h?\nAnswer: 25856*d**3*n*y + d**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 3, k: 12}. What is prob of picking 2 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Suppose 3*b - 8 = -n - 1, h = b + n - 1. Suppose 15 = b*p + 3*z - 0*z, 0 = -5*p + z + 31. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -5804\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 5*j + 5*j + (2*j**2 - 1 + 1)*(-7 - 7 + 15) - 2 + 2 - j**2 + (2*j + 0*j + 0*j)*(0 + 0 + 2*j) + 0*j + 0*j - j**2 as m + g*j**2 + l*j and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*c**3\/9 + 562*c**2\/3 + 148*c - 16\/9 = 0 for c.\nAnswer: -4, -1, 2\/169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 35 = -5*j, 0 = -4*j + 3*l + l + 28. Let h = -7 - -10. Differentiate -j*c**h + 5 - 4*c**3 + 0 + 19*c**3 with respect to c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 43.9. Let w = i + 0.2. Sort -0.4, 2, w in descending order.\nAnswer: 2, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3 + 1552*k + 20643 wrt k?\nAnswer: -6*k**2 + 1552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 + 12*q + 28. Let k(g) = g**2 + g + 1. Let r(o) = a(o) - 4*k(o). What is the hundreds digit of r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -2)\/(1 - 0). Let o = 3.06 + -0.06. Let m = 8 - o. Which is the third smallest value? (a) w (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3 = -137. Let h = 29 - w. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2818009 times -1?\nAnswer: 0.2818009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -24*c**3 - 2*c**2 - 2*c - 1. Let p be r(-2). Suppose -533*s + 377 = -5486. Calculate the greatest common divisor of p and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.3 and -0.14913588.\nAnswer: -17.44913588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/286 + 222\/(-407)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5940 and 5940?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let t(y) = 2*y**2 - y - 1. Let u be t(2). Let k be j(u). What is the common denominator of (-482)\/20 - k\/25 and -49\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**6*v**2 + 22*p**6 + 2*p**2*v**2 - 26*p**2 wrt p?\nAnswer: 480*p**3*v**2 + 2640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4664503614 - 1?\nAnswer: -4664503615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -428 divided by -4\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y + 8 = 0. Let t be y + 0 + (-40)\/(-22). Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.07767417 to 3 dps.\nAnswer: 7.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 318410 = 2*b, -4*b - 318380 = -3*s - s. Round s to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 3, -1, 127, -5, -2, 5 in decreasing order.\nAnswer: 127, 5, 3, -1, -2, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-27)*(-24)\/20.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -235716 divided by 9066\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.65 - -2.5. Let q = 0.9 - j. Let g = q + -1.05. What is the closest to g in 0.2, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from nooxoxooxooobbxoe.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (-4 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115938 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 8. Let y be l(0). Let f = -2 - y. What is the least common multiple of f and 1*(4\/(-1) - -11)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*214512.\nAnswer: -128707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -71.113 and -125162461.\nAnswer: -125162532.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 6*o + 31. Give m(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + 1. Let z be v(1). Suppose -z*t = 5*d - d - 40, 5*t = -d + 22. Let n(s) = s - d + 5 - 4. Calculate n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + z + 7950 = 0. What is the tens digit of (z\/9 + (-10)\/15)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 64, 120, 198, 298, 420?\n\"Answer: 11*j**2 + j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a9 (base 14) to base 6.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (33\/(-3) + 3). Suppose v*g - 306 = 74. What is the greatest common factor of g and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 48055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 10*h + 4. Let b be v(-10). Suppose -j = -t + 11, -2*t - 120 = 4*j - 88. Let k(l) = 4*l - 1. Let d(f) = 2*f. Calculate b*k(z) + j*d(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/45*5\/(-12)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25\/2 - -12. Suppose 5 = -3*o - 4*s + 18, 0 = 4*o + 5*s - 16. Find the common denominator of (o + -1)*95\/(-50) and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 1. Let k(n) = 21*n - 79 + 103 - 52. Give 28*a(u) - k(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382596 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72535538483 - 3*h**3 + 72535538483.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2370 + 2370. Solve 3*j = 5*h + 13, c = 3*j - 0*j - 2*h + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-3) - (3 + (3 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -153 (b) -2 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*g - 10, 0 = -4*m + 2*m - 4*g + 4. Suppose -149 = -5*b + 4*j, 5*b - m*j + 5*j - 169 = 0. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 2*s**2 + s**2)*(-s + 4*s - 2*s)*(4 + 477*s + 458*s - 879*s) + 6*s**4 + 47*s - 47*s.\nAnswer: 62*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/12)*i)\/i)**(-19)\/((i*i**(-4\/15))\/(i\/i**(-6\/13))) assuming i is positive.\nAnswer: i**(-667\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51174441 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 5*y. Let i(t) = -t**2 + 2*t. Let f = -674 + 674. Suppose 3*z - j - 33 = f, 3*z - 33 = -0*z - 3*j. What is z*i(w) + 4*l(w)?\nAnswer: -3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 150*g + 877. Calculate p(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0908 + -0.068. Let m = 0.9772 + v. Let w = 0.2 + -1.2. Put m, w, 2, -3 in increasing order.\nAnswer: -3, w, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o + 234 - 11*o + 63*o - 10*o - 21*o to a*o + f and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.16 times 375.011?\nAnswer: 435.01276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 14 = 1. Suppose -4*x + 2*k - f = k, 5*k + 23 = -2*x. What is the second biggest value in x, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - (-136)\/32. Suppose b*a + o + 78 = -2*o, -5*a = -4*o + 82. Let v = a - -34. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 101*s + 3*s**2 + 4 - 100*s to the form k*s + x + t*s**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/(-18)*(6\/(-3))\/(15\/5).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 35 + 2*a**3 - 14 as b*a**3 + d*a**2 + f*a + s and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -2*i**6\/15 - 3*i**5\/10 + i**4\/16 + 7*i**3\/12 + 3*i**2\/8 - 35*i. Determine w so that p(w) = 0.\nAnswer: -1, -1\/4, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 282 and 282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 12:54 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956*r - 5 - 1911*r + 3*r**2 + 955*r.\nAnswer: 3*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*g**2*h*r - 171*g**2*h - g**2*r - 6*g**2 - 75*g*h - 16*g*r + 13*h*r wrt g?\nAnswer: -82*h*r - 342*h - 2*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26690\/11 + -2428. Calculate the common denominator of 4*1\/(-14) - (-1611)\/(-462) and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 149 (c) -819\/1013\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.67 + 0.37. Let a = 159 - 159.2. Let o = -0.3 - -0.7. What is the third biggest value in 4, n, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(3) - (sqrt(24)\/sqrt(8) + -1)) + sqrt(432) + 1 + -5)**2 + 0.\nAnswer: 48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -526, -473, -420, -367, -314?\n\"Answer: 53*i - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - (2 + -1)*2. Let f(v) = v**2 + 8*v - 2. Let o be f(t). Let m = 4 + o. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3048.022464 to 1 dp.\nAnswer: -3048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 363827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (4 + (-2*sqrt(72) - sqrt(72)) - (((sqrt(72) - (-1*sqrt(72) + sqrt(72))) + sqrt(72) - sqrt(72)) + sqrt(72) + 4))**2 + 5 + 4 + 3).\nAnswer: -3618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + m = 17, 0 = -3*y - y + 2*m + 8. Suppose y*w + 1 = 19. Let u = -14 - -20. Is w >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((20\/6)\/5)\/((-11)\/440). Let c = 112416 - 2360188\/21. Let i = m + c. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1581 + 1809. What is the fourth biggest value in 3, -5, p, 1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**4*w*w**(-8\/5)*w)\/(w*w*w**(-7)\/w*w)**(-28))**(-1\/4) assuming w is positive.\nAnswer: w**(713\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 4372, 3 in decreasing order.\nAnswer: 4372, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1, 1, 108, 0.5, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041 = -269*k + 443 + 3627 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -502 + 538. Suppose -u*d + 710 = -26*d. Calculate the highest common divisor of d and 568.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*f**2 + 92*f**2 - 48*f**2 + 6*f - 1 to the form n*f + w*f**2 + y and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s + 2. Let p be o(3). Let c = -17277 - -17276. What is the closest to c in p, -16, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.5, 1, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + -6*(sqrt(156) + 3*sqrt(156)))\/((sqrt(300) - -4*sqrt(300)) + sqrt(12)) + 0.\nAnswer: -23*sqrt(13)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 t when four letters picked without replacement from {o: 3, f: 4, j: 2, a: 3, t: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + z**2 + 7*z**3 - 1 - 4*z**3 - 8*z**3. Let w(i) = -i**3 - 6*i**2 - i - 7. Let v be w(-6). What is the units digit of b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -698854 by 13.\nAnswer: -53758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42279 and 612?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39)\/8 + (-70)\/(-14))*2. Factor -s - 1 - r*s**2.\nAnswer: -(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 155 + 25. Suppose 11*i + 10 = u*i. Solve 2*g + 5 + i = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*p + 5*s, 0 = p + s + 5 - 2. Suppose 0 = -p*c + 3*c - 30. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 2. Let h = -18772 + 18778. Suppose -5*y + 2*g = -0*y - 171, 3*y = -2*g + 93. Let t(s) = -2*s**3 + s**3 + 6*s**3 - 11. Give h*t(u) + y*o(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1950 (c) 0.2 (d) -2\/17 (e) 2\/9 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 + 4*d + 0*d + 0*d - 38 + 21 - d.\nAnswer: 3*d - 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(180))*-5)**2 + (sqrt(5) + 1 + sqrt(20)\/sqrt(4))*-2.\nAnswer: 296*sqrt(5) + 4523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 2*g - 2. Give x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b (base 13) in base 16?\nAnswer: f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w + 2. Let k(v) = -v + 1. Let f(y) = c(y) - 4*k(y). Let g be f(-2). Suppose -1513 - 1075 = -g*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/10)\/(1\/2). Let w be (-319)\/(-88) + i*-1. Let t = -205\/72 + w. Which is the third smallest value? (a) t (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z + 5. Let x be p(-5). Suppose -x + 27 = s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)\/(1\/(-5)). Suppose 5 - 1 = 2*q. Let r(l) = l**3 - l**2 - l - 1. Let v(m) = -m**3 + 8*m**2 + 7*m + 4. Let s(x) = q*r(x) + v(x). Calculate s(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 354762808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2))**(1\/80) assuming u is positive.\nAnswer: u**(3\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21122202223 (base 4) to base 10\nAnswer: 2468011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 505129\/879 + -1724\/3. Let h = 1459\/1758 - o. Find the common denominator of 79\/10 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19660040?\nAnswer: 2, 5, 491501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3399 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -8 - -6) + -28 + 3 + -15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -12, -1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6362, -12412, -18464, -24518?\nAnswer: -30574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 39737.\nAnswer: -83\/39737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3 + 35*o + 211 with respect to o.\nAnswer: -6*o**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}